1 . 判断正误(正确的填“正确”,错误的填“错误”)
(1)曲线上给定一点
,过点
可以作该曲线的无数条割线.( )
(2)
表示
,
的值可正可负,也可以为零.( )
(3)函数
在
处的导数值与
的正、负无关.( )
(4)若
,则
.( )
(1)曲线上给定一点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee7a1b253abc6205004a2254d0b7b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0083ec7ec1e80158acaeed1ff18d409b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee7a1b253abc6205004a2254d0b7b3c.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1268e217016ff7e12b9bc51341c4cde.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd7c1d1884f7335fa3621ccefcaf35f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8195650e568d391ce26b2a731538ad7f.png)
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2 . 已知
的导数存在,
的图象如图所示,设
是由曲线
与直线
,
及x轴围成的平面图形的面积,则在区间
上( )
![](https://img.xkw.com/dksih/QBM/2022/5/13/2978332261089280/2978421994168320/STEM/b2e475dc-1642-4e61-ad96-bdf6cc9a981f.png?resizew=150)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50fad31f02e652b0225b4d7a6057421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f7b16d65f1b2b8bea8cf4a83fde925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://img.xkw.com/dksih/QBM/2022/5/13/2978332261089280/2978421994168320/STEM/b2e475dc-1642-4e61-ad96-bdf6cc9a981f.png?resizew=150)
A.![]() ![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() ![]() |
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2022-05-13更新
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552次组卷
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5卷引用:浙江省杭州第二中学滨江校区2021-2022学年高二下学期4月期中数学试题
21-22高二·江苏·课后作业
3 . 求值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb296e562dc463ec480128b1d5d00ef9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de5d34d7b924014651abbb5afe696ca6.png)
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4 . 已知
,用割线逼近切线的方法可以求得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4001a0804f865024c7a73cfe391a7203.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9073248a044b79c66c9cee3ac95f99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4001a0804f865024c7a73cfe391a7203.png)
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2022-02-05更新
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444次组卷
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3卷引用:江苏省常州市溧阳市2021-2022学年高二上学期期末数学试题
解题方法
5 . 函数
,求
,并解释它的实际意义.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4432c1e2462616790221cec47c5b9301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceee9e1994cbd48c5f227a6860a3eae8.png)
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65次组卷
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2卷引用:北师大版(2019)选择性必修第二册课本习题第二章2.1 导数的概念
解题方法
6 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0012dfde184455ca4de951d2e9a557f9.png)
___________ ,
,利用
可得
的近似值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677ba71c22d08df62ecb742c56e46e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0012dfde184455ca4de951d2e9a557f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd1e356b88ab01a08e8e5d6376d2ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5b9ad2732eb6a350dd18000f6fee53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83896c1f8c0598791d7f0531f94269c3.png)
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