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【百年教育职业培训中心】-医用高等数学-章节资料考试资料-温州医科大学

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函数的概念和性质随堂测验

1、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_400dbc0d-0226-44ae-bd2d-9cdb2537f1a7.png" />的定义域是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_842afa92-ec41-4572-b828-ec9b9a1ed8a2.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_affeee56-857a-4f95-8068-13abc84d5554.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b2d63bd9-af28-4dd0-83ce-17157bb0a05f.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_44745ac1-75b0-4fcd-a464-e2811cceba3e.png" style="width: 79px; height: 43px;" />


2、【单选题】设f(x)是定义在R上的一个函数,则函数F(x)=f(x)-f(-x)在R上一定是( )

A、奇函数

B、偶函数

C、既是奇函数又是偶函数

D、非奇非偶函数


3、【单选题】在区间<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ca50e256-805c-49ce-b9be-ee74b0c4d598.png" />上为增函数的是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fe1d03c0-cd72-4744-9c47-0d7f1fc671f4.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4266ba18-c790-408e-bbdf-18488cfc3bfd.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_15451482-17db-4e31-ae04-96af7382efd6.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_aee5bb99-5972-4928-a547-da57bd6e90d9.png" />


4、【单选题】下列函数是有界函数的是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d06e22db-18c8-4354-b5cb-af65f05043ff.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ff48bda2-308e-47de-b0b0-06a0ee42ca3b.png" />

C、符号函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_05011cc3-05be-4e6b-9f5d-c0ff0e79606e.png" />

D、取整函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0b192c00-c0bf-4404-bc99-aa82ff2521ec.png" />, (即不超过x的最大整数)


5、【单选题】若f(x)是R上周期为5的的奇函数,且满足f(1)=1, f(2)=3, 则f(8)-f(4)=( )

A、-1

B、1

C、-2

D、2


反函数随堂测验

1、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b5f504a4-de5d-4962-bbfa-10bf0f7f2db8.png" />的反函数是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7edb89db-a066-438b-b594-f2b8e59632b8.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2e2f6abc-86e6-4f35-81ed-fee92bd701c6.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6d751a5b-6b6f-4cee-a204-b418fbb4cc5d.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_29c726a8-3f29-4f97-95e3-459725c4b834.png" />


2、【单选题】如果<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cef068a9-5497-4cce-b89c-55be09b6d54d.png" />的反函数是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e3985145-a6c2-46b3-81c9-a9a9b923eee6.png" />,下列命题中一定正确的是( )

A、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_29c22714-22dc-4a7d-82ae-c37adb8ce95a.png" />在[1,2]上是增函数,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e3985145-a6c2-46b3-81c9-a9a9b923eee6.png" style="font-family: 宋体; white-space: normal;" />在[1,2]上也是增函数

B、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_97e16446-4157-45e9-b465-156ab33f6ae0.png" />是奇函数,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e3985145-a6c2-46b3-81c9-a9a9b923eee6.png" style="white-space: normal; font-family: 宋体;" />也是奇函数

C、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_97e16446-4157-45e9-b465-156ab33f6ae0.png" style="font-family: 宋体; white-space: normal;" />是偶函数,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e3985145-a6c2-46b3-81c9-a9a9b923eee6.png" style="font-family: 宋体;" />也是偶函数

D、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_97e16446-4157-45e9-b465-156ab33f6ae0.png" style="font-family: 宋体; white-space: normal;" />的图像与y轴有交点,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e3985145-a6c2-46b3-81c9-a9a9b923eee6.png" style="white-space: normal; font-family: 宋体;" />的图像与y轴有交点


3、【单选题】下列关于反三角函数错误的是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e489defb-3d48-4d68-8197-3c684b183d03.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_27b5eebd-0900-4212-a531-a63526d0d055.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d8a48bc0-56c6-45dc-bb99-e781332e9ce5.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8354f230-107c-424b-a3ec-6402dc502bd0.png" />


4、【单选题】下列关于反正切函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fba5d90d-b0c8-412e-94f7-13aa67bfce0f.png" />的图形正确的是( )

A、<img src="http://edu-image.nosdn.127.net/B2D9E518CD04AF77991873E18ADD424D.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/FE61B5D90E0C8912BFD9B7165A5ADED9.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/5D90FB4BA909562ED1ACB6DBA79C53CC.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/44F0DE2D187CE6F49EAAFEBB2ECC10FB.png?imageView&thumbnail=890x0&quality=100" />


5、【单选题】下列关于反三角函数正确的是( )

A、<img src="http://edu-image.nosdn.127.net/E90D7E6EE94F03A1104851A409A7E6E4.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/4A343395D9718ABFA62B8E21AE3E3FDE.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/6C5442B6E32211B1A85ECF8764DBA904.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/68AA43F9D0909B2FC418D874A90CE6DB.png?imageView&thumbnail=890x0&quality=100" />


复合函数和初等函数随堂测验

1、【单选题】 函数<img src="http://edu-image.nosdn.127.net/AC8C051BA09D534187C23D87FC015E71.png?imageView&thumbnail=890x0&quality=100" />是由( )复合而成的. (注意:分解成最简形式)

A、<img src="http://edu-image.nosdn.127.net/D876DC1F3300552E30C44240B08DFF0D.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/BEBD5247B0F941C149832DBAE8878EC2.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/B861D5ABE38D80F52F4DDF9C5E0D802F.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/6A67EC7820CD032B37CFB3A9A2D2BA3D.png?imageView&thumbnail=890x0&quality=100" />


2、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_19312077-b5a9-43fe-a834-54d03cb502c6.png" />, <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9df7f3b4-b6ac-479a-ae56-bc96e343b092.png" />, 则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_94756569-9b56-4fb1-b36a-19a58447e144.png" />( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_774eabec-ae87-4928-98b8-ce66b11e81a3.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a6e3045f-02b6-4b4a-9ecf-8f71c89706c0.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_426b1731-f94f-4104-8b35-3f1009ba2b7e.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ad8659f9-2daf-48ae-8c19-a92d9f350034.png" />


3、【单选题】设幂指函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ae2191e2-9299-4b6f-8144-67a8ce5934e4.png" />(其中<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_80f4e6c7-4444-417c-99fb-bc907f9ff84e.png" />)是初等函数,也是复合函数,这个函数是由( )复合而成。(注意:化为最简形式)

A、<img src="http://edu-image.nosdn.127.net/83354120C8D47CE9885B4AC904ECC152.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/BC453510F7BDD60D27BE55B0328067A2.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/08FFB812B78A5C17F904941B6EDAFFD2.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/2D608FFEC247BCFC41E6C1E28B2BC183.png?imageView&thumbnail=890x0&quality=100" />


4、【判断题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ca0ce1b2-59b3-49c4-a8f9-bd66aec412d1.png" style="font-family: 宋体; white-space: normal;" />是初等函数. ( )

A、正确

B、错误


5、【判断题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fbb443ea-6943-43ea-b441-a16c5812cf79.png" />是初等函数. ( )

A、正确

B、错误


.x趋向于有限值时函数极限的概念随堂测验

1、【单选题】<img src="http://edu-image.nosdn.127.net/DE0104BEDCD6081DCF166B3780195D8C.png?imageView&thumbnail=890x0&quality=100" />

A、3

B、0

C、-2

D、2


2、【单选题】<img src="http://edu-image.nosdn.127.net/57CA41C2CBF6E401371308D361B8D320.png?imageView&thumbnail=890x0&quality=100" />

A、0

B、1

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0a1ca67e-6635-4327-90bd-cb3aa6f124db.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_37b3fcd6-8f1d-4591-9402-1bf6019714a5.png" />


3、【单选题】<img src="http://edu-image.nosdn.127.net/10B8484A0AC689A8B6101C97A9E7AE72.png?imageView&thumbnail=890x0&quality=100" />

A、0

B、-1

C、2

D、不存在


4、【单选题】<img src="http://edu-image.nosdn.127.net/F002329D027D75A0D308078022707C54.png?imageView

A、-1

B、0

C、1

D、不确定


5、【单选题】下列关于函数极限错误的是( )

A、函数y=f(x)趋于常数A,则A为函数 f (x)的极限

B、如果当x→x0时, 函数y=f(x)趋于常数A,则A为函数 f (x) 当x→x0 时的极限

C、<img src="http://edu-image.nosdn.127.net/1999F7FD3A384C87EF5246DCA71CD9E8.png?imageView&thumbnail=890x0&quality=100" style="width: 370px; height: 25px;" />

D、<img src="http://edu-image.nosdn.127.net/EC3E19EE424A7BDED7061EE3652FD3C3.png?imageView&thumbnail=890x0&quality=100" style="width: 291px; height: 19px;" />


左右极限和x趋于无穷大函数的极限随堂测验

1、【单选题】<img src="http://edu-image.nosdn.127.net/E9CC165591F03FFC8ACF584C13DDC684.png?imageView height: 38px;" />

A、<img src="http://edu-image.nosdn.127.net/07683A25868ACF00AAA133E970FEB929.png?imageView&thumbnail=890x0&quality=100" style="width: 282px; height: 39px;" />

B、<img src="http://edu-image.nosdn.127.net/626D5314DA43B3E09F21C24F594CDF3F.png?imageView&thumbnail=890x0&quality=100" style="width: 354px; height: 39px;" />

C、<img src="http://edu-image.nosdn.127.net/549637DC79256D95F86CA5CB5FE8FEB0.png?imageView&thumbnail=890x0&quality=100" style="width: 190px; height: 39px;" />

D、<img src="http://edu-image.nosdn.127.net/FA07A6DEC029E7B2BE2BDD114A40878D.png?imageView&thumbnail=890x0&quality=100" style="width: 162px; height: 46px;" />


2、【单选题】<img src="http://edu-image.nosdn.127.net/1B1EF276C92BC3F800B1218B30AAA780.png?imageView height: 51px;" />

A、2

B、-2

C、1

D、3


3、【单选题】<img src="http://edu-image.nosdn.127.net/4F60853F9A8AED0516C9D4E54C19ED74.png?imageView height: 26px;" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_081b5184-516a-4817-87cc-17cd1ca8ee67.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2e950d98-5640-4eb0-9463-381c93ff302e.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_85eb62a3-55af-44e7-8068-c0f0ae5afd74.png" />

D、不存在


4、【单选题】下列极限存在的是 ( )

A、<img src="http://edu-image.nosdn.127.net/84C77069AAFBA8495528C9A6100EB170.png?imageView&thumbnail=890x0&quality=100" style="width: 86px; height: 34px;" />

B、<img src="http://edu-image.nosdn.127.net/39E63341C574097CAB1DA1809A1412F1.png?imageView&thumbnail=890x0&quality=100" style="width: 78px; height: 39px;" />

C、<img src="http://edu-image.nosdn.127.net/92D5E5612BE72AEA3C5A56078BF8FA4F.png?imageView&thumbnail=890x0&quality=100" style="width: 82px; height: 27px;" />

D、<img src="http://edu-image.nosdn.127.net/6829D35EEAEF40CEEB824B4D160934B6.png?imageView&thumbnail=890x0&quality=100" style="width: 46px; height: 40px;" />


5、【单选题】.关于极限<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ea91889c-0456-4a80-9597-534f848792eb.png" />正确的是( )

A、此极限不存在

B、此极限可能存在,也可能不存在

C、此极限等于0

D、此极限等于1


极限四则运算法则和复合运算法则随堂测验

1、【单选题】<img src="http://edu-image.nosdn.127.net/056D7E4EBC3B46F9D6B7C40BC7570755.png?imageView height: 54px;" />

A、3

B、1

C、0

D、2


2、【单选题】<img src="http://edu-image.nosdn.127.net/E0B29C99AB799AB38927713E9CC25ABE.png?imageView height: 55px;" />

A、0

B、1

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ca694561-c876-4dc8-a21b-53528624ca92.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2c94f2cb-3f05-4056-9c98-dfbaf05e38cc.png" />


3、【单选题】<img src="http://edu-image.nosdn.127.net/33B29D8262C278142A0157BF3B3650D6.png?imageView height: 54px;" />

A、0

B、4

C、2

D、-4


4、【单选题】<img src="http://edu-image.nosdn.127.net/2FDB4501EAC9CEB6E945ADFDF73A7D97.png?imageView height: 52px;" />

A、3

B、0

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2bd86271-a336-4fc4-ab93-c84c60c602ce.png" />

D、不存在


5、【单选题】<img src="http://edu-image.nosdn.127.net/4D4B6661CB37610449D25FEFC3AE37AC.png?imageView height: 59px;" />

A、0

B、1

C、-1

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9f38b8cb-7501-4aa8-ad20-7eac4bd70896.png" />


两个重要极限随堂测验

1、【单选题】<img src="http://edu-image.nosdn.127.net/3D1EF429FA5BAB04545B5521961E9EE8.png?imageView&thumbnail=890x0&quality=100" />

A、0

B、1

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_82c9b573-bbdd-4793-a154-d57cdfef1a9b.png" />

D、2


2、【单选题】<img src="http://edu-image.nosdn.127.net/3D07F4F6F5771B5D1B23CB5840B27A86.png?imageView height: 52px;" />

A、0

B、3

C、1

D、2


3、【单选题】<img src="http://edu-image.nosdn.127.net/AA25F943C9F67EC1881F2170B4659080.png?imageView height: 47px;" />

A、-1

B、1

C、x

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ef68af7d-50a4-4178-a24e-911e8db02c24.png" />


4、【单选题】<img src="http://edu-image.nosdn.127.net/6710492DF1EF37BDF0FA6FC235DD3E49.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b3d9dae8-e605-4f73-960f-23affba378d0.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bc999bf9-74fd-451a-95b8-ecc5b0fe3783.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_edc02028-ff51-4116-832e-c208ef6fc2a2.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_672c2dec-ba13-4052-aa1d-87568fe715fe.png" />


5、【单选题】<img src="http://edu-image.nosdn.127.net/F18F0655AE94D0E61670F551626A997F.png?imageView height: 49px;" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_77dc472c-5ee3-47c6-88e3-8d9f14bc23fe.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ada7ae6c-5b00-4dc2-a21e-29f78a019247.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_19bb58b0-feb6-4f90-9231-d1c08e2b3c13.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_994842a8-f12f-43a8-8cf9-e7c431aada4b.png" />


无穷小量随堂测验

1、【单选题】1.下列哪种说法正确

A、无穷小量是比任何数都小的变量

B、无穷小量是以零为极限的变量

C、无穷小量是最小的正数

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2b644d9d-c4be-4460-87d6-d31bd97d2289.png" />是无穷小量


2、【单选题】2. <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_621e830c-5c01-4299-a42c-ee8afbefc2f7.png" style="width: 88px; height: 36px;" />在下面 ( )的变化过程中为无穷小量

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_389f1325-d2ad-47bc-94cb-c67e804119b9.png" />;

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_50377915-6178-4e52-a06d-237d4a6cf3cd.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_162af1bc-79e4-4d1f-bce6-caa81ee64571.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c47a1d07-ee0e-45ac-8eca-af563914c859.png" />


3、【单选题】3.下列函数在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fe22fb83-4e84-44fa-a96c-ce3197960197.png" style="width: 48px; height: 20px;" />时是无穷小量的是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4ed33f81-ec0c-4021-b2a4-0878b5760151.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_99f17b0e-adca-4c19-97c1-1da06ffe5a4a.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cb0d4561-b854-4dda-9ffc-391a4edf01f7.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fe4a4fda-f5f3-4938-a69d-c59a91862274.png" />


4、【单选题】4.求 <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_31a0e27f-abdc-4644-833e-5c60aa20142c.png" style="width: 85px; height: 40px;" />

A、1

B、2

C、0

D、不存在


5、【单选题】5.求<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b05e6f80-7882-4573-bde5-80a059cd08c7.png" style="width: 182px; height: 30px;" />

A、1

B、0

C、不存在

D、2


无穷大量及无穷小量之间的关系随堂测验

1、【单选题】1.下列说法正确的是( )

A、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9869dfff-9053-422f-b42f-da82ff1260b0.png" />是无穷大量,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7fe5f693-b873-4f10-b3c3-f5e39b6fdc98.png" style="width: 34px; height: 43px;" />为无穷小量,

B、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9869dfff-9053-422f-b42f-da82ff1260b0.png" style="white-space: normal;" />是无穷小量,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7fe5f693-b873-4f10-b3c3-f5e39b6fdc98.png" style="white-space: normal; width: 34px; height: 43px;" />为无穷大量,

C、当<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5b09ec71-b900-4da1-9db2-cfe95eb45c16.png" />时,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_071e4472-5412-49be-a8eb-e2bcbb6857cf.png" />为无穷大量,

D、当<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5b09ec71-b900-4da1-9db2-cfe95eb45c16.png" style="white-space: normal;" />时,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6c10d52c-8ae1-4fcd-bccf-bafd86e50888.png" />为无穷小量,


2、【单选题】2.当<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_03a20b27-e825-4b34-8022-04840e332c56.png" style="white-space: normal;" />时,下列函数为无穷大量的是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d70e526b-097a-4c72-aeed-72e65bcec477.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a8f7a4b2-bce0-45f9-89a8-d5d4b1251faf.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_39feef94-0b35-42ad-8b25-40598c095204.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b67ee749-dd52-4452-88a8-80f3d592dedd.png" />


3、【多选题】5.当<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9c9c7f0b-e4d2-4c8f-981b-d7e655ad08bb.png" style="white-space: normal;" />_______时,函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_72c2ad18-0297-4a4a-a677-372353f3625c.png" style="white-space: normal; width: 48px; height: 40px;" />为无穷小量.

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_403fc95c-c495-4a53-840d-60141e98aff5.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fbe33e25-b492-4805-8b01-7f1fee87ea3e.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2d03b41f-3c99-47d3-aeb3-3fde5f3e7f05.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9fca76ee-9f2a-4fda-a850-edf5408abd18.png" />


4、【判断题】3.当<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b260e9b1-872f-481f-a8ad-601cd4882925.png" />时,函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2d797549-87ff-4d61-b00f-40793d5fa17f.png" style="width: 119px; height: 38px;" />是无穷大量

A、正确

B、错误


5、【判断题】4.零是无穷小量,反之,无穷小量是零.

A、正确

B、错误


无穷小的阶随堂测验

1、【单选题】1.下列结论正确的是( )

A、两个无穷小量不互为高阶或低阶无穷小,就是等价无穷小.

B、同价无穷小是等价无穷小的一种.

C、有界变量和无穷小量的乘积是无穷小量.

D、无穷小量和无穷大量的乘积是有界的.


2、【单选题】2.当<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5c0c3d15-78f5-4205-adbb-571449a9f75c.png" />时,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f516e377-baf0-4751-aaae-87bd98948391.png" style="width: 64px; height: 37px;" />是( )

A、无穷大量,

B、关于x的高阶无穷小,

C、关于x的同阶无穷小,

D、趋于常量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_55cb77d9-c593-4967-bc8d-e595b546a2b5.png" style="width: 56px; height: 18px;" />.


3、【单选题】3.下列变量在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b3db58cc-349d-472e-9fa3-ecdaf001fab6.png" />时, 是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3fba826e-abfd-4240-8adb-8697acb582ec.png" />的高阶无穷小量的是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_796e877c-cb45-4f7b-a61e-bd1170d97462.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_37bddf89-4b4a-4057-9b09-b51c72ec6438.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a863a3f5-e044-4c60-8750-e3ce1fda7de2.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7bdeda4d-4c09-4c5b-80a9-d09cd407fcce.png" />


4、【单选题】5.当<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1de46666-ff3b-40a2-8829-ba37deb087bf.png" />时,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b4f63f39-0f06-4bf4-abc9-a3c78f16b9f2.png" />是无穷小量,且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_53209d21-da8f-4d1c-92e1-ddc03804f22b.png" />是比<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_15553e1c-4a22-4bc7-98fe-1ee466d6c31b.png" />高阶的无穷小量,那么<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_86998847-4790-427b-b321-ae8a9c229e3e.png" style="width: 90px; height: 42px;" />( ).

A、1

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9fda9a89-d1c2-45b7-8ab2-5a154ad1eb80.png" />

C、0

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e68e89ef-7d39-4dfc-a0c4-42f4e19d34bc.png" />


5、【填空题】4.当<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_527e9ac5-38eb-441a-8a13-c71b0b12c5c0.png" />时,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_436b9d65-b9d7-4a61-afda-3bb0f644621c.png" style="width: 54px; height: 35px;" />与 <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d5e18e3f-d713-437a-8628-d421da07ea67.png" style="width: 18px; height: 34px;" />为等价无穷小,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_612e8874-8ab8-4540-b9f4-2c32223d563f.png" />________.

A、


极限的四则运算法则随堂测验

1、【填空题】1.<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_94ec6bf5-e8e5-4ffc-94af-25db2013a43f.png" />__________

A、


2、【填空题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_82d70e00-da8d-45d6-90a3-08d2beb3b9f9.png" />___________.

A、


3、【填空题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d1f6b592-6d8e-4944-84dd-df375f056412.png" style="white-space: normal;" />___________.

A、


4、【填空题】4.<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_aa28a4e0-6034-4631-ae2d-ff3de90a46b6.png" />___________.

A、


5、【填空题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2551dfa1-a5e7-4125-96d6-33ebe01ecfb8.png" />___________.

A、


两个重要极限(2)随堂测验

1、【单选题】5. <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fcebb696-2c0d-467e-96d5-875ee4531621.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2fd4f69b-d2de-4f07-a115-82a1c93a86fe.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8599ab09-1a8e-4986-9ac8-0d69c43e843f.png" />

C、1

D、0


2、【单选题】4.<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8a57a8a0-c462-4452-81e3-5e38ad4e9dd9.png" />

A、e

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5340596e-ad2c-45f9-9f40-71c733fd197e.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_21919a23-029d-4e7c-97aa-9f8ff47ba7e4.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_42026afc-246b-4c44-8367-be309c44a794.png" />


3、【单选题】3.<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4b298a1a-ab98-4fd7-bb22-f233dd32a7bf.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6d28d08b-ea5b-44d3-85ca-aab137bedffc.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2791fb98-32ed-48e1-9dee-2cfdda735c0c.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_603a2e7d-1eac-4fd3-8ecf-da979022bf58.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fda4cc1b-8811-4b35-9264-d2beef6b3c92.png" />


4、【单选题】2.<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a477ee52-4cfe-49a3-a2c7-2a06dc14b52a.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4eaee603-6513-4793-ad51-4cdfb433ee38.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1ed65b61-0a7a-4514-84d8-f0233ead632f.png" />

C、1

D、0


5、【单选题】1.<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0de6f398-7ae5-4b61-a869-43ea48766120.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8f8cbc3a-39fc-4322-851b-30fae706280f.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_381942c7-9457-4667-acba-ca1531b4e3e7.png" />

C、1

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f39a6940-e968-4540-9e62-20d935f6f9b5.png" />


两个重要极限(1 随堂测验

1、【单选题】1.<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8009cc9c-5bff-4c87-a106-6e67d908becd.png" />

A、0

B、1

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_859f4a8b-f4a3-4dba-b57c-0a83a588bff3.png" />

D、e


2、【单选题】2.<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_85a99758-5146-4e4e-9bb4-1a305bf6878f.png" />

A、1

B、0

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_26f5cc7e-8dba-4140-bfa8-2991d615c073.png" />

D、-1


3、【单选题】3.<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_25432f34-1458-493c-9669-2dff64d69567.png" style="width: 88px; height: 31px;" />(x为不等于零的常数,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_374f9189-748b-4d7e-a476-fc513b5a6a63.png" style="width: 49px; height: 19px;" />)

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_678c56ca-30b0-48b5-9a98-910b3dfde368.png" />

B、0

C、1

D、x


4、【单选题】4.<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_068a2c04-b77c-4504-ba98-a69d3796706d.png" />

A、1

B、0

C、2

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cec1575f-3a3c-4a11-aeac-519e6a6b7c22.png" />


5、【单选题】5.<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f228c2f4-2b0c-4aa1-93a2-efa99f9d3ec0.png" />

A、1

B、0

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_70df5e18-01a0-4519-a9a9-d696b6163af9.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c0fe956f-40e9-4f06-b306-0601db1f700e.png" />


连续性的随堂测试

1、【单选题】3.设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9300cfcf-2b2d-42f6-ad1a-bfcf4226fec5.png" style="width: 206px; height: 48px;" />,问下面哪种说法正确

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d999549b-f21c-49c6-b519-f4ba1917828e.png" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7e787078-c2a3-4d2f-b18f-0ca13ff1d4ed.png" />处的左极限始终存在;

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d999549b-f21c-49c6-b519-f4ba1917828e.png" style="white-space: normal;" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7e787078-c2a3-4d2f-b18f-0ca13ff1d4ed.png" style="white-space: normal;" />处无定义;

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d999549b-f21c-49c6-b519-f4ba1917828e.png" style="white-space: normal;" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7e787078-c2a3-4d2f-b18f-0ca13ff1d4ed.png" style="white-space: normal;" />处连续;

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_38c66325-2763-4e36-a08d-581b2ff3bb53.png" />存在.


2、【单选题】4.设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_71728a73-f7a3-4d28-a869-640e2e38a75d.png" style="width: 99px; height: 40px;" /> ,要使函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_29dd2e97-0412-4516-b059-83f8efe6ce23.png" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4c45b48b-23b8-4009-a19b-ad7748f4903a.png" />处连续,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a03e8eb9-fd41-40fe-8201-5cb60b8af288.png" />应补充定义为( ).

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_45f63cdf-a9f1-40e6-bb2a-bcdb8f074677.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_66b22cf9-f465-42a8-9c27-c38b49b87094.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ea4f04ad-373a-4438-b01e-f11784c5affd.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_469ffd6f-864d-46f8-8842-d336414b9785.png" />


3、【多选题】1.下列结论正确的是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c08595a5-a841-4c4b-a71c-7b6451754619.png" style="width: 28px; height: 20px;" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2abf4f32-9aee-4e52-ab53-4f70cc9637e3.png" />左连续可以推出<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c08595a5-a841-4c4b-a71c-7b6451754619.png" style="white-space: normal; width: 29px; height: 19px;" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_794b14a3-2f44-4456-9d39-521303665201.png" />处有定义,

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c08595a5-a841-4c4b-a71c-7b6451754619.png" style="white-space: normal; width: 28px; height: 20px;" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2abf4f32-9aee-4e52-ab53-4f70cc9637e3.png" style="white-space: normal;" />右连续可以推出<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c08595a5-a841-4c4b-a71c-7b6451754619.png" style="white-space: normal; width: 29px; height: 19px;" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_794b14a3-2f44-4456-9d39-521303665201.png" style="white-space: normal;" />处有定义,

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c08595a5-a841-4c4b-a71c-7b6451754619.png" style="white-space: normal; width: 28px; height: 20px;" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2abf4f32-9aee-4e52-ab53-4f70cc9637e3.png" style="white-space: normal;" />有极限可以推出<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c08595a5-a841-4c4b-a71c-7b6451754619.png" style="white-space: normal; width: 29px; height: 19px;" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_794b14a3-2f44-4456-9d39-521303665201.png" style="white-space: normal;" />处有定义,

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c08595a5-a841-4c4b-a71c-7b6451754619.png" style="white-space: normal; width: 28px; height: 20px;" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2abf4f32-9aee-4e52-ab53-4f70cc9637e3.png" style="white-space: normal;" />连续可以推出<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c08595a5-a841-4c4b-a71c-7b6451754619.png" style="white-space: normal; width: 29px; height: 19px;" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_794b14a3-2f44-4456-9d39-521303665201.png" style="white-space: normal;" />处有定义,


4、【判断题】2.连续函数一定有极限,反之,若函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_76c3a101-47fb-4c5e-820c-a8afe51c411b.png" />当<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_50493efe-a5aa-4b5f-9a14-7f44a165538a.png" />时有极限, 则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_adc8d95e-02f6-481e-b2f4-8dbd292b567d.png" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b3b0113e-5b64-403d-80fa-2dd0fe0ed6b6.png" />一定连续.

A、正确

B、错误


5、【填空题】5.若函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1a54d44f-659c-405d-8c2a-9bf162413dba.png" style="width: 205px; height: 70px;" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d45775d4-7346-4ee4-b845-687969276b94.png" />处连续,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_407b6957-3006-46db-9cf8-6d90db789ce7.png" />___________.

A、


间断点随堂测验

1、【单选题】4.<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ab720be3-626e-4b8b-82c0-c727dc08bc5c.png" style="white-space: normal;" />

A、0

B、1

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_57a4ac18-a737-4440-a998-83fb5e7798da.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3e9a055e-4eb7-4b47-8850-03c34c3b5424.png" />


2、【多选题】2.设函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3a7b0d86-1cda-4865-a7de-9e690c6fdf75.png" style="width: 34px; height: 22px;" />在点<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5c5263c6-88d8-4ed3-95e3-0934ab0aa97d.png" />的某去心领域内有定义,若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8f5b3d09-bfe1-405f-a21b-ef39b9667582.png" />为函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1ec51b6e-53dd-469b-811e-3243dfc7c9b2.png" style="width: 28px; height: 22px;" />的间断点,则满足条件的可能是( )

A、函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3a7b0d86-1cda-4865-a7de-9e690c6fdf75.png" style="white-space: normal; width: 34px; height: 22px;" />在点<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5c5263c6-88d8-4ed3-95e3-0934ab0aa97d.png" style="white-space: normal;" />处无定义;

B、函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3a7b0d86-1cda-4865-a7de-9e690c6fdf75.png" style="white-space: normal; width: 34px; height: 22px;" />在点<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5c5263c6-88d8-4ed3-95e3-0934ab0aa97d.png" style="white-space: normal;" />处虽有定义;但<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_445f841c-2a8a-46e9-a67e-6ebab12e4c86.png" />不存在;

C、函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3a7b0d86-1cda-4865-a7de-9e690c6fdf75.png" style="white-space: normal; width: 34px; height: 22px;" />在点<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5c5263c6-88d8-4ed3-95e3-0934ab0aa97d.png" style="white-space: normal;" />处虽有定义;且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_445f841c-2a8a-46e9-a67e-6ebab12e4c86.png" style="white-space: normal; width: 64px; height: 32px;" />存在,但<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a5db117b-d5e5-4117-8a8b-c420952c2bfa.png" style="white-space: normal;" />;

D、函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3a7b0d86-1cda-4865-a7de-9e690c6fdf75.png" style="white-space: normal; width: 34px; height: 22px;" />在点<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5c5263c6-88d8-4ed3-95e3-0934ab0aa97d.png" style="white-space: normal;" />处虽有定义;但函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3a7b0d86-1cda-4865-a7de-9e690c6fdf75.png" style="white-space: normal; width: 34px; height: 22px;" />的左右极限至少有一个不存在.


3、【多选题】3.给出函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_333cacaf-9fd0-4ec8-a75a-14e49ddfc937.png" />,下面结论正确的是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bae6e5c2-2d5f-40fb-b6fc-2a218fab6416.png" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ad1a3619-fadb-4778-87ee-c31d805f30a5.png" />不连续;

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bae6e5c2-2d5f-40fb-b6fc-2a218fab6416.png" style="white-space: normal;" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ad1a3619-fadb-4778-87ee-c31d805f30a5.png" style="white-space: normal;" />只有跳跃间断点;

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7bab4b39-03fd-47f3-8787-5fb23dc2bbcd.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cc00c945-a802-4d2b-87da-348757ad1e31.png" />


4、【判断题】1.分段函数一定有间断点。

A、正确

B、错误


5、【填空题】5.<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5ef8305b-3056-47bc-9403-489f6baf3b3c.png" style="white-space: normal;" />_________.

A、


第一章 函数与极限单元测试1

1、【单选题】<img src="http://nos.netease.com/edu-image/d3afb22129984b29b68a25102a77606d.png" />

A、<img src="http://nos.netease.com/edu-image/9eb8a916032a40d4b30152be6735bae7.png" />

B、<img src="http://nos.netease.com/edu-image/189a95657ec1473f97124ec317fc870c.png" />

C、<img src="http://nos.netease.com/edu-image/177681ce8842499f8b6639d0951e34ed.png" />

D、<img src="http://nos.netease.com/edu-image/708c28fbe6ff4a2bbaa93e5a760eef07.png" />


2、【单选题】<img src="http://nos.netease.com/edu-image/0e6898365ccb45869af7b978e88cc647.png" />

A、<img src="http://nos.netease.com/edu-image/cfe6acc8d2de49f18fc145b1caee25fc.png" />

B、<img src="http://nos.netease.com/edu-image/c526b181bb204a949092c32e564ecbcd.png" />

C、<img src="http://nos.netease.com/edu-image/c69d88a32077409592b04df26eb1a300.png" />

D、<img src="http://nos.netease.com/edu-image/11414dc137aa4975a3e8edb0be3148c6.png" />


3、【单选题】<img src="http://nos.netease.com/edu-image/7b725adc4a774bbcb82790b4fc4f03c4.png" />

A、<img src="http://nos.netease.com/edu-image/98c8e56d66f84c00b1da549c7e059f07.png" />

B、<img src="http://nos.netease.com/edu-image/5b028e9e44464dc2add90b0f2cca3eac.png" />

C、<img src="http://nos.netease.com/edu-image/53d640d7e9eb4fcda5c2b88e13e587ff.png" />

D、<img src="http://nos.netease.com/edu-image/25c516e7e2d7443090f512bf2b89c3f4.png" />


4、【单选题】<img src="http://nos.netease.com/edu-image/fa1c84c6aaff43fca57983bdffa3b701.png" />

A、<img src="http://nos.netease.com/edu-image/3082ef949e90415fa2cde99732b1ac9a.png" />

B、<img src="http://nos.netease.com/edu-image/d5526373683d41f4b3ddffc49217ca57.png" />

C、<img src="http://nos.netease.com/edu-image/12fdfcbd7a27428e9e03e785d4586a91.png" />

D、<img src="http://nos.netease.com/edu-image/81cfa940d1814efd969b41f6c07fddf4.png" />


5、【单选题】<img src="http://nos.netease.com/edu-image/5931df604e084163ab5e70d181dc13fb.png" />

A、极限存在且连续

B、极限存在但不连续

C、极限不存在且不连续

D、极限不存在但连续


6、【单选题】<img src="http://nos.netease.com/edu-image/5200668d373d48a7b4127349a692655d.png" />

A、不存在

B、0

C、3

D、x


7、【单选题】<img src="http://nos.netease.com/edu-image/3c2487439c3c4c5ea0ff47f31d92cd78.png" />

A、1

B、-1

C、2

D、0


8、【单选题】<img src="http://nos.netease.com/edu-image/74019cc77a26423d88b0c96fcf61b9a9.png" />

A、<img src="http://nos.netease.com/edu-image/67f548222da141bdbf65ad1f26133b4b.png" />

B、<img src="http://nos.netease.com/edu-image/97bfce1c82aa4e5e8de672ad2f5e2c34.png" />

C、<img src="http://nos.netease.com/edu-image/960dc40060c2410ba8b79b5b058f7089.png" />

D、<img src="http://nos.netease.com/edu-image/70ba0de3c46845829a3cc41a59797ecb.png" />


9、【单选题】<img src="http://nos.netease.com/edu-image/6571a9daa83d45639b98dded77db7dec.png" />

A、1

B、e

C、2

D、0


10、【单选题】<img src="http://nos.netease.com/edu-image/67b52776fdde4622a19895a2b0b8766f.png" />

A、1

B、-1

C、2

D、0


11、【单选题】<img src="http://nos.netease.com/edu-image/597b891c2e53409b83550a60fbbbfd0d.png" />

A、充分条件

B、必要条件

C、充要条件

D、既非充分条件也非必要条件


12、【单选题】下列极限不存在的是( ).

A、<img src="http://nos.netease.com/edu-image/e90a8442b9484f2db83a5005741406ef.png" />

B、<img src="http://nos.netease.com/edu-image/8da62b4f50634d6585d6e81890d6d3f1.png" />

C、<img src="http://nos.netease.com/edu-image/9288c22817704a0abe672892b5a76808.png" />

D、<img src="http://nos.netease.com/edu-image/e076d007bda342e1a8479e84f865f7f4.png" />


13、【单选题】<img src="http://nos.netease.com/edu-image/f6145ada53274852ab601f60c6db87f9.png" />

A、充分条件

B、必要条件

C、充要条件

D、既非充分条件也非必要条件


14、【单选题】<img src="http://nos.netease.com/edu-image/a80319fb58c244d1aafa71b817a673a9.png" />

A、<img src="http://nos.netease.com/edu-image/11879992b51243f78ac909983a36b55b.png" />

B、<img src="http://nos.netease.com/edu-image/e0e0840a50814e3dae624d35016d2110.png" />

C、<img src="http://nos.netease.com/edu-image/9603d736b3f040ae95eee0118b738854.png" />

D、<img src="http://nos.netease.com/edu-image/bd707d30826d48dea8f1a8d110c7679d.png" />


15、【单选题】<img src="http://nos.netease.com/edu-image/312a6554b91448bd95faac5dd05c7e5b.png" />

A、x→0

B、 x→1

C、x→-1

D、 x→∞


16、【单选题】<img src="http://nos.netease.com/edu-image/103d016ef6d44967b17759f406119fc6.png" />

A、0

B、1

C、∞

D、1/2


17、【单选题】<img src="http://nos.netease.com/edu-image/c3bf07428e6f414e89d6458f8fa684df.png" />

A、极限存在且连续

B、极限存在但不连续

C、极限不存在且不连续

D、极限不存在但连续


18、【单选题】<img src="http://nos.netease.com/edu-image/e4ca250e7e6d402b9c994e05bd66aa67.png" />

A、 <img src="http://nos.netease.com/edu-image/fec49e369b8941a997520bba27fd992c.png" />

B、不存在

C、e

D、1


19、【单选题】<img src="http://nos.netease.com/edu-image/6f85693c313f4ee689bd4d81f78fec14.png" />

A、无穷大量

B、关于x的同阶无穷小

C、趋于常量a(a≠0)

D、关于x的高阶无穷小


20、【单选题】<img src="http://nos.netease.com/edu-image/3965bba94a6d4322ba5f477d82c4c15d.png" />

A、 x→3

B、x→1

C、x→-1

D、 x→∞


21、【单选题】<img src="http://nos.netease.com/edu-image/d0a2dea4894a4f458e89bb2a9d09daa7.png" />

A、高阶无穷小

B、低阶无穷小

C、等价无穷小

D、同阶无穷小


22、【单选题】<img src="http://nos.netease.com/edu-image/9c2a899fc40d49d7ae7e42ac8653e232.png" />

A、0

B、-1

C、1

D、不存在


23、【单选题】<img src="http://nos.netease.com/edu-image/ea72e8959fa54ea3b8e06197797177ac.png" />

A、0

B、1

C、∞

D、1/2


24、【单选题】<img src="http://nos.netease.com/edu-image/1da853befd2a4642b2686f1e16fa9737.png" />

A、<img src="http://nos.netease.com/edu-image/6faa035960a54cb69751bf4f149172d6.png" />

B、f(x)在x=1处连续

C、f(x) 在x=1处的左极限始终存在

D、f(x)在x=1处无定义


25、【单选题】<img src="http://nos.netease.com/edu-image/197483194fe14f429da3303f215d222e.png" />

A、<img src="http://nos.netease.com/edu-image/73ed082fc0174c00ae760d87ed2cac54.png" />

B、t

C、<img src="http://nos.netease.com/edu-image/559144b982de4550bf6d250990edd00c.png" />

D、 <img src="http://nos.netease.com/edu-image/ae163bdc36374c3fa25c82c14d6fca28.png" />


26、【单选题】<img src="http://nos.netease.com/edu-image/a550121a461d402b923602b2ccc41781.png" />

A、 a=0

B、 a=1

C、a=π/2

D、a取任何值函数在x=0点都不连续


27、【单选题】<img src="http://nos.netease.com/edu-image/ab8ad850546c408aae87f40be43f0142.png" />

A、极限存在且连续

B、极限存在但不连续

C、极限不存在且不连续

D、极限不存在但连续


28、【单选题】<img src="http://nos.netease.com/edu-image/fcc0d99c39044d7a82b6d25e643be555.png" />

A、0

B、1

C、2

D、3


29、【单选题】<img src="http://nos.netease.com/edu-image/312cfea0d6bb4c68a2fa9c29cc5b9b05.png" />

A、 f(x)只有跳跃间断点

B、f(x)在 [0,6] 不连续

C、<img src="http://nos.netease.com/edu-image/9f8090d719a4455ab021c6ae3adff517.png" />

D、<img src="http://nos.netease.com/edu-image/b0da8ac9321447f59303232a5dd1958b.png" />


30、【单选题】<img src="http://nos.netease.com/edu-image/dbb42a67b30745a091c3b5752cefd131.png" />

A、 f(0)=0

B、f(0)=1

C、f(0)=1/2

D、f(0)=2


31、【单选题】<img src="http://nos.netease.com/edu-image/48d0afe2c59d4595b55c225939f07a00.png" />

A、f(0)=0

B、f(0)=1

C、f(0)=1/2

D、f(0)=2


32、【单选题】<img src="http://nos.netease.com/edu-image/16f0e3f0cf8a4f0fa84f1a1c155be5a8.png" />

A、-1

B、0

C、1

D、不存在


33、【单选题】<img src="http://nos.netease.com/edu-image/169eb45965e64ff3ac3222075ddd16c9.png" />

A、0

B、∞

C、1

D、<img src="http://nos.netease.com/edu-image/8a552baa12a44777a1023c47bbae0310.png" />


34、【单选题】<img src="http://nos.netease.com/edu-image/1636eaca4f374c568e4d2cf7714ccce3.png" />

A、高阶无穷小

B、低阶无穷小

C、同阶无穷小

D、等价无穷小


35、【单选题】<img src="http://nos.netease.com/edu-image/3dd28f3ef838412f9792c529e91e72ac.png" />

A、<img src="http://nos.netease.com/edu-image/24ea1add110a4212ae297eca5ed2bf36.png" />

B、不存在

C、e

D、1


36、【单选题】<img src="http://nos.netease.com/edu-image/be01003f91a74542a3a989c27d7df2d5.png" />

A、无穷小是最小正数

B、-∞是无穷小量

C、无穷小量是以零为极限的变量

D、无穷小量是比任何数都小的变量


37、【单选题】<img src="http://nos.netease.com/edu-image/944941ec401d44d094f5126b8abb5aaa.png" />

A、0

B、有界变量

C、不存在

D、可能存在也可能不存在


38、【单选题】<img src="http://nos.netease.com/edu-image/14ada67f1fdd4caead31558bf9c5b0ee.png" />

A、<img src="http://nos.netease.com/edu-image/067d7472a1ff4ac5a922405f38a685f2.png" />

B、<img src="http://nos.netease.com/edu-image/17941c1214a1479390f5277f0be2e9cb.png" />

C、<img src="http://nos.netease.com/edu-image/7ebdb6fa5c57495e84adadd26f28157c.png" />

D、<img src="http://nos.netease.com/edu-image/40010df07252468abcae41dd5b722e67.png" />


39、【单选题】<img src="http://nos.netease.com/edu-image/7595b2cad36143a2b8339159daa5d320.png" />

A、无限个初等函数的和或差是初等函数

B、初等函数在其定义区间内连续

C、初等函数的复合函数是初等函数

D、初等函数的和、差、积也是初等函数


40、【单选题】<img src="http://nos.netease.com/edu-image/14e1358e3ec64c38a4ecdf61f1402210.png" />

A、<img src="http://nos.netease.com/edu-image/f7d652e462c74edca0cef9e0d7fb3a96.png" />

B、f(x)在x0处有定义

C、f(x)在x0处连续

D、<img src="http://nos.netease.com/edu-image/5a113576fdf144e4bcf22c878e90e989.png" />


41、【单选题】<img src="http://nos.netease.com/edu-image/fd12fbbfc2ce4014b62f7de85435d4d1.png" />

A、<img src="http://nos.netease.com/edu-image/a9b1cb3eb2c749c6811e6487c09906d0.png" />

B、e

C、<img src="http://nos.netease.com/edu-image/b26370fbd6f64fa1a84896d1daa3afec.png" />

D、0


42、【单选题】<img src="http://nos.netease.com/edu-image/7aa1c5b3a37f4fa69eaea2238be4e3f3.png" />

A、0

B、n

C、<img src="http://nos.netease.com/edu-image/06edfd0dc3e6479c86c2996a482d280c.png" />

D、e


43、【单选题】<img src="http://nos.netease.com/edu-image/9f57e0b02387479e8dfb4f9438238a41.png" />

A、<img src="http://nos.netease.com/edu-image/a0ede97b7b5344b6b87e26eab0b070d3.png" />

B、<img src="http://nos.netease.com/edu-image/45552e0cacc44790a09e72c0e462f582.png" />

C、<img src="http://nos.netease.com/edu-image/e6d08b6bbb264136b236cb093befd62f.png" />

D、<img src="http://nos.netease.com/edu-image/dc6735053188423cb12b19a017c54e16.png" />


44、【单选题】<img src="http://nos.netease.com/edu-image/fd1293a1df9841b38e8bda0850e96702.png" />

A、<img src="http://nos.netease.com/edu-image/ac40275ee1814ddaa5f189f9149f8df6.png" />

B、<img src="http://nos.netease.com/edu-image/dd38e7cb29fd417c9b1231dcd7ecad5d.png" />

C、<img src="http://nos.netease.com/edu-image/46e68aa45f3144dda73f39474df8645b.png" />

D、<img src="http://nos.netease.com/edu-image/7c278a150b6141ffbf25af126c095724.png" />


45、【单选题】<img src="http://nos.netease.com/edu-image/e3c518ee7f8441faa4ace9e386fcbced.png" />

A、<img src="http://nos.netease.com/edu-image/ac40275ee1814ddaa5f189f9149f8df6.png" />

B、<img src="http://nos.netease.com/edu-image/dd38e7cb29fd417c9b1231dcd7ecad5d.png" />

C、<img src="http://nos.netease.com/edu-image/0fd28344cbbd4ab7969d8d43263a8f2a.png" />

D、<img src="http://nos.netease.com/edu-image/7c278a150b6141ffbf25af126c095724.png" />


46、【单选题】<img src="http://nos.netease.com/edu-image/9ee1426a87c341f8b4bd2cd6e9713a18.png" />

A、f(x)在x=0连续可以推出f(x)在x=0处有定义

B、f(x)在x=0有极限可以推出f(x)在x=0处有定义

C、f(x)在x=0左连续可以推出f(x)在x=0处有定义

D、f(x)在x=0右连续可以推出f(x)在x=0处有定义


47、【单选题】<img src="http://nos.netease.com/edu-image/416efaf714954bc9a0e3623283ee3ebf.png" />

A、第一类间断点的左右极限相等

B、第二类间断点的左右极限不存在

C、有极限的点处必定连续

D、连续函数必定有极限


48、【单选题】<img src="http://nos.netease.com/edu-image/dbe4599efd07432491793eed2efa7758.png" />

A、<img src="http://nos.netease.com/edu-image/071175a05a0142c4a87f2dc713000412.png" />

B、<img src="http://nos.netease.com/edu-image/71c65e1fc4f1449f8a50659c952310e4.png" />

C、<img src="http://nos.netease.com/edu-image/2427c04680a04424b53ae8c9efe681e3.png" />

D、<img src="http://nos.netease.com/edu-image/2807543634fb49bfbdfdcdd28aba0273.png" />


49、【单选题】<img src="http://nos.netease.com/edu-image/b6ccd447ed5f4717b20e6162da80a9c9.png" />

A、<img src="http://nos.netease.com/edu-image/a526333a6af64634a9eda8ba4ff51f17.png" />

B、sinx

C、<img src="http://nos.netease.com/edu-image/66a1470876954f119adecf246639b965.png" />

D、<img src="http://nos.netease.com/edu-image/2ff65741f8184d4eb9fe7e368a441fa0.png" />


50、【单选题】<img src="http://nos.netease.com/edu-image/dd6bed932c424d4b8a7af89ce5019ec7.png" />

A、同阶无穷小是等价无穷小的一种

B、两个无穷小量不互为高阶或低阶无穷小,就是等价无穷小

C、无穷小量和无穷大量的积是有界的

D、有界变量和无穷小量的积是无穷小量


有关导数概念的习题

1、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9c870a68-101b-48c3-a39a-5a853fbbb773.png" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_96475945-69f8-404c-8394-024dbdc23d14.png" />处的可导性和连续性为( )。

A、不可导,连续

B、可导,不连续

C、不可导,不连续

D、可导,连续


2、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3cfd9960-0b4e-4585-a453-1dc0556debfa.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f577b417-d80d-452f-8313-036cc370ab2a.png" />在点<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6f007fe2-96d3-40fa-91b0-46f70df9677c.png" />处的可导性为以下哪个极限存在( )。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8f836ff2-3693-41bd-b611-6da5ca11ce52.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d573b9f4-569f-4c44-bed9-f807c611a321.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b61893f0-0826-4335-85a1-ba1e7095935d.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_72f1bae9-bf5b-445f-bdd2-dd71bef63c31.png" />


3、【单选题】已知<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8382fb01-bd77-49c3-bc62-798a1412e423.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c1c72dc4-4c5d-40fd-aae1-c2df4ad7a0cf.png" />的值为( )。

A、1

B、4

C、2

D、-1


4、【单选题】函数在某点连续是在该点可导的( )。

A、充分但不必要条件

B、必要但不充分条件

C、既非充分也非必要条件

D、充分必要条件


5、【单选题】以下哪一项可以作为函数在某点导数存在的充要条件( )。

A、该点单侧导数都存在

B、该点左右极限都存在

C、该点左右导数都存在且相等

D、以上都不对


6、【填空题】已知直线运动方程为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_dde851b8-90a9-4f70-b39b-e341464d848c.png" />,令<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f592b31c-43dd-456c-855f-801d4a5c95f1.png" />时,从<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_96824fd8-718c-4103-adb3-3a92279b2f1a.png" />到<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7bf3442c-bbb6-41cd-a607-b24a625d53f2.png" />这一段时间内运动的平均速度为(若是小数请写为小数形式)

A、


用导数定义计算及导数几何意义的练习

1、【单选题】<img src="http://edu-image.nosdn.127.net/35ACE8D86A02BF9B6DB5F5ADFA98A472.png?imageView height: 39px;" />

A、1

B、-1

C、0

D、不存在


2、【单选题】<img src="http://edu-image.nosdn.127.net/71D7D6B1DCD3226D5682A8449C33CFE0.png?imageView height: 76px;" />

A、不可导,连续

B、可导,不连续

C、不可导,不连续

D、可导,连续


3、【单选题】以下公式错误的是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_132f26c1-8c8f-4c8e-b4f9-7c42a1eecf11.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_18c2c793-c904-4034-9a30-31de41c8dd16.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_15d92e03-714f-42af-8114-550d7ca04a06.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a68d76a8-0999-42b1-998d-8d0b19a3546f.png" />


4、【单选题】<img src="http://edu-image.nosdn.127.net/3B35C143F026B1DE1A1409567F7949B5.png?imageView height: 37px;" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c9c62d36-2b8a-444f-8424-5e306d138859.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c12e0993-d554-4ebb-a27a-e1b602ff70ac.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_69523ec2-33b9-4d98-af0a-538fc04fa102.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8778b1bf-7905-4e2e-8c64-414fe6265022.png" />


5、【多选题】<img src="http://edu-image.nosdn.127.net/A5418FF3C66A71837EAE7DC1F325C018.png?imageView height: 59px;" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0112fdd8-4185-44f5-849c-fda569522d80.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5e9bd068-0448-4000-88bf-5b959019c20e.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0b800f9f-19b0-45ee-85ab-6dcdb1e9049e.png" />不存在

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0440a089-ead7-41ee-a13b-3db25ac5fdef.png" />


求导的四则元算法则练习

1、【单选题】以下计算正确的是( )

A、<img src="http://edu-image.nosdn.127.net/760564F13FFEB54A2014224BD803C1B6.png?imageView&thumbnail=890x0&quality=100" style="width: 274px; height: 27px;" />

B、<img src="http://edu-image.nosdn.127.net/3B7C92DD9D9DB1182D222BCF7D9CD9B8.png?imageView&thumbnail=890x0&quality=100" style="width: 186px; height: 47px;" />

C、<img src="http://edu-image.nosdn.127.net/F5FF0A4E9A6A669AF4408FCAE1EEE472.png?imageView&thumbnail=890x0&quality=100" style="width: 135px; height: 60px;" />

D、<img src="http://edu-image.nosdn.127.net/2AAB9A5B753BF493AE380AB57F187265.png?imageView&thumbnail=890x0&quality=100" style="width: 200px; height: 25px;" />


2、【单选题】以下计算错误的是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d52a7a57-0ce5-482c-9d40-c2d7a90f1cd2.png" />

B、<img src="http://edu-image.nosdn.127.net/A71F5DD1872F6A0C65AE66FA4153AF28.png?imageView&thumbnail=890x0&quality=100" style="width: 153px; height: 26px;" />

C、<img src="http://edu-image.nosdn.127.net/30D0B3AED75B378EFA303B0A3C607769.png?imageView&thumbnail=890x0&quality=100" style="width: 231px; height: 24px;" />

D、<img src="http://edu-image.nosdn.127.net/7174FD5CFC8F1380AE36820F814C979F.png?imageView&thumbnail=890x0&quality=100" style="width: 122px; height: 26px;" />


3、【判断题】<img src="http://edu-image.nosdn.127.net/F076BDC71DF95EC3818DC1214D6FCD51.png?imageView height: 49px;" />

A、正确

B、错误


4、【判断题】<img src="http://edu-image.nosdn.127.net/6F1AD9974E23D739BC8C1AE30BEF9509.png?imageView height: 55px;" />

A、正确

B、错误


5、【判断题】<img src="http://edu-image.nosdn.127.net/8712B18DA44C3CDB384498807E0926E1.png?imageView height: 59px;" />

A、正确

B、错误


反函数求导及复合函数求导法则练习

1、【单选题】以下计算正确的是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_53ac6a16-378a-49e2-a430-27133a4e5c0b.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1687a18a-b5b4-49f7-ba1c-ef0aa8a42b9b.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ce41b21c-ec6c-40a0-8a21-00d2a21e3e6b.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d8904ce0-4a31-4b7c-9d15-2c9f334bee29.png" />


2、【单选题】<img src="http://edu-image.nosdn.127.net/625870C35C3DC6FDF472B60C458575CD.png?imageView height: 25px;" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2e2d4092-2486-4f60-ad91-581788193d61.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8b349d51-ae47-4d6d-bb20-fccae300e9e4.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d49353ca-899f-4f4d-ae3c-fa3da2c73405.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bcdac7b6-edc0-4bf7-86be-05bc4d00113e.png" />


3、【单选题】<img src="http://edu-image.nosdn.127.net/56D7E3C51A9EC01D9D2CE1BCF011896E.png?imageView height: 26px;" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ba765724-6442-450a-8730-3b8f4ab6e881.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_44cf9fac-37cf-4a88-9f5c-2a696eec4b92.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_51860d1a-1894-4dfe-abb3-b9c784f10ea1.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_600a26a8-2d28-429e-b39b-f60ccd0865b4.png" />


4、【判断题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b492349a-73c6-4a45-a8d8-880dcc1fe9ea.png" />

A、正确

B、错误


5、【判断题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_69664147-329e-4614-8fea-ce27d8fc09ba.png" />

A、正确

B、错误


6、【判断题】<img src="http://edu-image.nosdn.127.net/EDA4D268CEDBDB5411961373EB6A6086.png?imageView height: 76px;" />

A、正确

B、错误


7、【判断题】<img src="http://edu-image.nosdn.127.net/C7860AC4B9A68BC480027B865FF7B04D.png?imageView height: 54px;" />

A、正确

B、错误


隐函数求导法练习

1、【单选题】<img src="http://edu-image.nosdn.127.net/A2EB2D1A43D4322ED49CEDD17EFA36A3.png?imageView height: 27px;" />

A、0

B、1

C、-1

D、2


2、【单选题】<img src="http://edu-image.nosdn.127.net/5F949F8713EC753CFCC74CC740F443F6.png?imageView&thumbnail=890x0&quality=100" />

A、0

B、1

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b1a6faac-a0b3-4d17-a073-d98a523614dd.png" />

D、以上都不对


3、【单选题】<img src="http://edu-image.nosdn.127.net/AD2F2E575BEDC76FEC7B66CDE7D05BFE.png?imageView height: 31px;" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fd5e7a88-f1b9-41ec-8a02-6a515867afe1.png" />

B、2

C、1

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7dec23e9-ca5b-4c1c-a923-ef480b329487.png" />


参数方程求导练习

1、【单选题】<img src="http://edu-image.nosdn.127.net/89B04FF2DCE85407B051DDED2F7793B5.png?imageView height: 50px;" />

A、2

B、0

C、-2

D、以上都不对


2、【单选题】<img src="http://edu-image.nosdn.127.net/A3AF445AC12A32212D53AF954AEB7379.png?imageView height: 49px;" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_85d50c5f-ffbd-40f4-b74b-91174a6cb5fc.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24948140-146a-41e6-acf8-5880d78ca6cd.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_dcdddcbb-4bb0-4a34-8287-90897f589c6d.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a2385e22-f977-4789-85cc-d1d05f0830ac.png" />


高阶导数练习

1、【单选题】若函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_eb0fa616-75f6-49cd-bed5-8941ace5fb90.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_414060b4-2e90-4496-833d-7a7dc7bb963d.png" />=( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_113e1906-915e-497b-b3d9-76c1ce032c98.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cf1e24c2-7cbc-4325-b233-35c873faa59f.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ddc37e24-a807-4adb-a3bf-98d95e0088b9.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2d864b14-068b-433e-8fe1-22c178a9234f.png" />


2、【单选题】若函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_85328c03-a831-4688-aa8b-bf591fded1cb.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ca6a8a87-d4c5-4b84-ba1c-8537f29e9e34.png" />=( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fa0f691c-490d-455f-b7ba-65277e989927.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0ebf143b-e035-4218-98cd-84a723e1139d.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_06a7932d-3c39-4717-b968-afa4c28d86ce.png" />

D、以上都不对


3、【单选题】已知方程<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2836b5bf-e3a4-4b24-9b80-f5a524978a9f.png" />中含有隐函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ceb69b8b-dff8-4f68-b52e-35301f43c6ac.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_30341f33-7d6a-43a8-9cb0-fe573178d2de.png" />( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_621a089b-d48c-4a30-b9cb-9f558e970993.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6b0a9549-c616-4c4a-a029-859fbeb6f7a6.png" />

C、0

D、以上都不对


4、【单选题】<img src="http://edu-image.nosdn.127.net/7D7D7235F0FE6E113BD01C95CB009386.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2eaa1279-3bde-4a05-bdab-551753bf5a40.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4793d6eb-cc3a-4bc2-ad85-d9e52d059bbc.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_efb9df41-ac94-4347-83b4-229874cd9610.png" />

D、以上都不对


函数的微分的定义和几何意义的随堂测试

1、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4f36327f-2d81-4360-9807-cc19319d8c82.png" />的微分可以表示为

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9d7bdffb-5305-4734-ba84-93853f0c7104.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_325fe4b8-9582-4add-81ff-8785b99536ab.png" />

C、dy

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a33eb011-a976-406d-b7c3-cfe19f587632.png" />


2、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9cb8a037-fdf2-4fc7-9572-e965d4d8ef79.png" />在区间<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a6c5bebe-1f47-4b32-8ce1-b4966d494310.png" />上连续时<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9cb8a037-fdf2-4fc7-9572-e965d4d8ef79.png" />在区间<img style="color: rgb(102, 102, 102); font-family: Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a6c5bebe-1f47-4b32-8ce1-b4966d494310.png" />上可微的

A、必要条件

B、充分条件

C、充分必要条件

D、既不是充分条件也不是必要条件


3、【单选题】函数 <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4f36327f-2d81-4360-9807-cc19319d8c82.png" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6839e38a-e5d8-4449-9561-45fcf66bdc93.png" />处可微是函数 <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4f36327f-2d81-4360-9807-cc19319d8c82.png" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6839e38a-e5d8-4449-9561-45fcf66bdc93.png" />处可导的

A、必要条件

B、充要条件

C、充分条件

D、既不是充分条件也不是必要条件


4、【单选题】微分的几何意义是

A、切线的斜率

B、切线纵坐标的增量

C、 切线横坐标的增量

D、切线的斜率的倒数


5、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8a84fa47-6801-4352-a021-c7ddc012bd4e.png" />,则当<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d01204f1-53e6-42a9-b8d1-c65b67f4d9e7.png" />时,有<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d3f3ec10-dd0b-415e-9a42-71b9ca5c8739.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1b240784-4f35-4af0-822c-9459ed9719ca.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_adffab3f-bf2b-48d1-9982-1d6e6675d1ed.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4fa2d93e-a12c-4c5f-80f2-3414a2631c29.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cb1430a3-a803-4784-9876-37fac126e1b3.png" />


微分的运算的随堂测验

1、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9cb8a037-fdf2-4fc7-9572-e965d4d8ef79.png" />可导,且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_161374a3-15fd-43f2-9e28-7b9800ca9b03.png" />,则 <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d3f3ec10-dd0b-415e-9a42-71b9ca5c8739.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3ed79797-1f86-4745-8d81-12f608614d79.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e45e9221-cd4e-48eb-9f03-de0117cdba6a.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c05e0214-67e7-4cf1-8aa8-787f6e6a2e6b.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a2ff34e2-63bd-4147-a35c-5196ab627cac.png" />


2、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a64fd975-f67c-4da1-aab5-f22271dc60aa.png" />,则当<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d01204f1-53e6-42a9-b8d1-c65b67f4d9e7.png" />时,有<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d3f3ec10-dd0b-415e-9a42-71b9ca5c8739.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c24bd7b4-5324-4156-a52d-b5c3d36ed223.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ad990ca9-95b7-4fa5-9125-08ecc85592f8.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0a336aee-2d9c-47e4-b2d6-742474bfbb7e.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d4fc19cf-7503-4a2f-a592-b3d72a897e5a.png" />


3、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4f36327f-2d81-4360-9807-cc19319d8c82.png" />,则有<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7d53ebac-6c84-485b-bebc-565473d92beb.png" />,则当<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_eb5d515c-961e-47f2-8c4c-2bdbc03df690.png" />时,该函数在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1cf3e6d4-3487-41bf-a73e-7810c566435c.png" />处的微分<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c6f451d3-95ec-452c-b21e-005a05123340.png" />是

A、比<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3006695e-adac-4137-82a3-42a088136112.png" />高阶的无穷小

B、比<img style="color: rgb(102, 102, 102); font-family: Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3006695e-adac-4137-82a3-42a088136112.png" />低阶的无穷小

C、与<img style="color: rgb(102, 102, 102); font-family: Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3006695e-adac-4137-82a3-42a088136112.png" />同阶的无穷小

D、与<img style="color: rgb(102, 102, 102); font-family: Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3006695e-adac-4137-82a3-42a088136112.png" />等阶的无穷小


4、【多选题】函数<img style="color: rgb(102, 102, 102); font-family: Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1f5f4ec9-2bfe-4e95-b072-4cd8930a33cd.png" />,有<img style="color: rgb(102, 102, 102); font-family: Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d3f3ec10-dd0b-415e-9a42-71b9ca5c8739.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ab8768fc-9f7b-4077-9e30-caa405f7622a.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_86b8b78e-da07-4e89-9c40-45b55476272e.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fbdd605f-c29e-4d5f-a280-b7d5148ab140.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e4001e10-5352-4f8e-ba11-96119e58a2e4.png" />


5、【多选题】若<img style="color: rgb(102, 102, 102); font-family: Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_06844418-afde-4a95-9fe8-7df07ac2c66d.png" />,则<img style="color: rgb(102, 102, 102); font-family: Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d3f3ec10-dd0b-415e-9a42-71b9ca5c8739.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4f8c5366-ecb9-4e76-9f44-f65222cdd38e.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1512a4ce-4f90-4795-8a96-1ceff9d23d74.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ced0c27c-cba1-428e-bed8-70b6aa3972b7.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9015af8e-1293-4076-a0df-dabfd55a386e.png" />


导数与微分的应用的随堂测验

1、【多选题】下个各式正确的是

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d8730250-a722-4f2a-87ae-a19be06c353f.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5bb24912-ba22-4ad8-9c5c-b4533b44ffd2.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4d696816-5c17-4bfb-b9ec-530d890e3df6.png" /> (当 <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_df09ecfe-1269-45f7-87aa-00c985393f8b.png" />很小时)

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_53156bc0-3505-4d74-ba04-089ee2f72fd8.png" />(当 <img style="color: rgb(102, 102, 102); font-family: Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_df09ecfe-1269-45f7-87aa-00c985393f8b.png" />很小时)


洛必达法则1随堂测验

1、【单选题】以下各式中能直接使用洛必达法则计算的是

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f0fc604d-20e0-4bcb-90cf-6a9e571d399c.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7470fd74-4205-4578-b4ff-bdb7435ceb5a.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4b312e99-7842-4538-ba36-e2050edebd01.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a463bc31-2116-4b88-862e-31d360b738f7.png" />


2、【单选题】求极限<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ab18c2c9-5b87-4245-8248-1275d0139537.png" />

A、2

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4cff741e-1972-4cac-abcb-b39a8e4c8f89.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_43c0999d-09b9-492d-b8a8-cd5802723f71.png" />

D、4


3、【单选题】求极限<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_775d3ed6-5b31-4813-8be8-f7bb705d9628.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4cff741e-1972-4cac-abcb-b39a8e4c8f89.png" />

B、2

C、1

D、不存在


4、【单选题】求极限<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a285bc2f-c440-4d5b-8f3e-4880094de414.png" />

A、2

B、1/2

C、3

D、1/3


5、【多选题】下列说法正确的是

A、由洛必达法则知<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bbd281cf-f483-4342-b889-4d53ac42b47f.png" />,故此极限不存在

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_595199a0-a09c-4566-82cf-b2c01731d818.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2f037ad5-aef6-4457-81a1-a9672e9ba80f.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4159c1b3-b4e5-4890-a005-e4f787e1f5ea.png" />


洛必达法则2随堂测验

1、【单选题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ff6993d1-0142-425e-afd1-fb29bee4f088.png" />

A、1

B、0

C、-1

D、不存在


2、【单选题】求极限<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b67e054b-7079-4f00-853f-a4bcbc117e0b.png" />

A、0

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f62678ca-18d4-4379-9a36-e033a370ce6e.png" />

C、1

D、2


3、【单选题】求极限<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_dc825613-811f-4287-b9b0-4911a8c7abf4.png" />

A、0

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f62678ca-18d4-4379-9a36-e033a370ce6e.png" />

C、1

D、2


4、【单选题】求极限<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9bb51425-7c7b-4ac4-83b2-95058e5a55ff.png" />

A、2

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4cff741e-1972-4cac-abcb-b39a8e4c8f89.png" />

C、0

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1a60439a-d283-4e79-a9a3-8931b445930d.png" />


5、【单选题】求极限<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_905369c7-68cc-4f0a-a6c0-867dc516b19a.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2db2542e-25d7-4c27-95db-c46cc1a451b6.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0e0f93b4-dea0-49b4-a77e-fdcc400a0cc8.png" />

C、2

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_015fee82-b9ef-4302-a564-b0aa91db340f.png" />


单调性随堂测验

1、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_afbd5f79-9017-447b-804f-0daefe20f762.png" />的单调递增区间是

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d94213cd-1c81-4953-8ac8-d3c33fb76b08.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d117cbae-674a-4b3c-a042-68eeb24976c8.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e0324863-1e43-455a-bace-1595c5906676.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f72697f7-3468-45f6-92bb-f846400356b5.png" />


2、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fd8fe5e2-2388-4f03-ab07-6e961be47601.png" />的单调区间是

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_66a71a66-d88d-4fb6-9191-eed48cef31ce.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a9c58199-4f1d-4abb-985a-04db0b98ad41.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a413870c-c0b5-4229-bea6-abb5ad4f0562.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8bf2519f-62a0-45f4-a958-de6734c829a3.png" />


3、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ca2422d8-5601-4b42-9d80-b425dcc5ac89.png" />的递增区间是

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3a5c47aa-8b87-42da-966d-1fb583187f78.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d5f264a5-4f48-43cc-a645-a7c0c9574b41.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b7c5c7b1-abb3-4fc1-be9d-a5f921d1bbdf.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b7cd2617-35d9-46bd-97ee-1c80bc206f6e.png" />


4、【单选题】若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_753c57a1-7068-4c6c-8988-274509f0f6cc.png" />,则函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9cb8a037-fdf2-4fc7-9572-e965d4d8ef79.png" />为

A、单增凸曲线

B、单增凹曲线

C、单减凸曲线

D、单减凹曲线


5、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4693fe7e-3bd6-4535-a25f-ce5cf4b24e98.png" />在区间<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e0324863-1e43-455a-bace-1595c5906676.png" />内单调增加,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2506643c-c19b-429c-9450-8a9282c8ccae.png" />应满足

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_826d0a5d-cf4f-4bb7-b1ee-c5a1fc4858b4.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2ddbb81e-a525-479a-aa2d-2bc20171ac7a.png" />可为任意常数

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_58169c9c-efbd-42e7-904f-5869add167b3.png" />

D、无法说清<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_025ecac8-1ef4-4a5e-8a02-4434093bb649.png" />的规律


极值的随堂测验

1、【单选题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d24f3e31-4b00-4d54-a183-20e0d9639ab7.png" />是下列哪个函数的极值点

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9534e418-fb96-4be1-939d-48bf1d58f28e.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_33638516-948f-4d64-93ba-5ab923e88fc3.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4a8ac2ea-fbf2-471f-bf2a-a565b2f2755c.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1f1ef1f6-7a6d-4987-8e43-9a33926e54f6.png" />


2、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24e21caa-5d1d-4951-8ae8-e525dccad9f5.png" />在区间<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_dcc08e41-4bae-4bcd-963e-e4779a3444d4.png" />上的最大值为

A、0

B、4

C、1

D、ln5


3、【单选题】如果<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5bcbd4df-bdf8-4cb0-b442-d0fe367d4a63.png" />,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_68f9deb7-a777-43f4-963d-1ed180d00b7a.png" />存在且不等于零,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_eb5588cb-f612-45c9-bd46-7eb72db4e5f0.png" />

A、一定是拐点

B、一定是极值点

C、一定是拐点

D、一定是极小值点


4、【单选题】函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8b1bf2f1-0c5b-4c8b-bd34-711cddefcc6a.png" />在<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_29879688-9769-4340-8e53-03f4eb86fce2.png" />上最大值和最小值分别是

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0634e7aa-833e-4c6e-bcba-df6a245e2c53.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_38edb0a5-4e80-4eb6-8e2d-4e3b6118815c.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_da89b470-6d72-4979-ac50-2badcde80234.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_44536d91-be61-4d0d-9451-bdcd5cad3c89.png" />


5、【单选题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d01204f1-53e6-42a9-b8d1-c65b67f4d9e7.png" />是下列哪个函数的极值点

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f230356b-899b-4408-b645-ad3a76dd7ed4.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_eaa06fea-4de5-4229-afa7-53c794249353.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6ac53c2b-c614-48f1-8f34-f3191046aaf5.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5931904e-83aa-4dc7-8c76-a3c30d8d6844.png" />




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