![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2107822c37873c6654db3d0f79e4ebe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5068d59d2b17acd800cac562822180.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
【知识点】 平均变化率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267e6d77aabbebe52e7aca993368d874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d4f2f6133b09cb067e056ad0bd9919.png)
A.3 | B.2 | C.1 | D.4 |
【知识点】 平均变化率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4daae9b5ae17099875210d652a3a921d.png)
A.只能是左端点的函数值![]() | B.只能是右端点的函数值![]() |
C.可以是该区间内的任一函数值![]() ![]() | D.以上答案均正确 |
【知识点】 平均变化率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e127daca60c7927cd7a98cfbdb8d3120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24244e68a3baec4a0ef7826c0fbd76f0.png)
A.表示当![]() | B.表示当![]() |
C.表示当![]() | D.表示当![]() |
【知识点】 瞬时变化率的概念及辨析
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fe371c09c66cdbb70c36fc76691318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fe371c09c66cdbb70c36fc76691318.png)
A.k1>k2 | B.k1<k2 | C.k1=k2 | D.k1与k2的大小关系不确定 |
【知识点】 平均变化率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f563b3277f2fc80e46baf9aa7070d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e499721072f7a6d448dc9a222547b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e99813f7c39a868c4cb642b5014363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7ac9eeaa749dc0f7077161f1c8e66b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff45c08db0e21b2e9709c6316139434.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
【知识点】 平均变化率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e38720dfaee832067188cc5e8db54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feadd43ab7bcc828298546d059bd3921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d1290e77baa850d6306c77e0fdcb46c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5068d59d2b17acd800cac562822180.png)
A.4 | B.4x | C.![]() | D.![]() |
【知识点】 平均变化率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec84404bbf6cf4a9d992e1760dcfdd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 平均变化率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddb78a08d524ba846b2f1455b13140f9.png)
A.![]() | B.6 | C.![]() | D.![]() |
【知识点】 极限 导数(导函数)概念辨析
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00da1c29aea46e36cda0f5780966bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140c429203a485ccc10168cd9c332a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 利用定义求函数在一点处的导数(切线斜率)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a2d7c67748749a033294d20ec56360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d187fc91bb6aef84287fc3a1e456c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 导数定义中极限的简单计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3232a8bb9a6eda358543fe8d2a4ecb94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5609ad6bd3d633a54579b95dc426b5c1.png)
A.2 | B.4 | C.![]() | D.8 |
【知识点】 极限 导数定义中极限的简单计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3e1b685f1b244701791046eb3f439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55f2c42327c393ea02bc0b25aaf9a7d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
【知识点】 利用定义求函数在一点处的导数(切线斜率)
A.-1 | B.![]() |
C.1 | D.![]() |
【知识点】 导数(导函数)概念辨析 导数定义中极限的简单计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda364be0d58074bf6b5de081008eafe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4c3a22fba7d42e9838fd3be6584c76.png)
【知识点】 平均变化率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/feb0dd61-8ed1-45a7-b5ec-f1b4d540899b.png?resizew=183)
【知识点】 平均变化率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e999197a39fb4a4ad6718053a0320b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e3cd8ce94d4144791c4c9c195d47c9.png)
【知识点】 导数定义中极限的简单计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e3cd8ce94d4144791c4c9c195d47c9.png)
【知识点】 极限 导数(导函数)概念辨析
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f054d1c6e4a73ba6aeab92d39985d875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fe371c09c66cdbb70c36fc76691318.png)
(2)思考:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fe371c09c66cdbb70c36fc76691318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bcb95d838f1e96d36bb656d3737c473.png)
【知识点】 平均变化率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42ba93ba1a2e6fa9af2b28d8ac9c47ab.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae02912ba39e8798410bbe7f0dd88874.png)
【知识点】 平均变化率 瞬时变化率的概念及辨析
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c79989643799b404e7f442f0394b56a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac75c24c046868cb6170f5a6e94a80b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d659e40325c3a981288af85f3df002ab.png)
(1)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e35cb92e88a505299d8a93198df3570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65502a7ea4d1ce6d6d8c720845c73e0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314bafe3f7beae00ea2e9d143f33167b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b703a24c737859178112a0978cc4ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59788224b6e4e0926e3deb1eeb57f57.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314bafe3f7beae00ea2e9d143f33167b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed9db529bc76d025dc379d8ff6e4266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59788224b6e4e0926e3deb1eeb57f57.png)
(3)求质点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314bafe3f7beae00ea2e9d143f33167b.png)
【知识点】 瞬时变化率的概念及辨析
求:(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5068d59d2b17acd800cac562822180.png)
(2)f′(1).
【知识点】 平均变化率 导数(导函数)概念辨析