1 . 求下列函数的导数.
(1)
;
(2)
;
(3)
;
(4)
;
(5)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d067cc288175dc68bf65452f1c8a1b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/519ff2e9855e68380501ab0af86f39bd.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbfcc002ebb6db0e53f9ac7689db23b6.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b1991f9aa5a9db1f360328e08e8e3e.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db05ba32a86f84690e7efe736aa0a52f.png)
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2 . 2023年3月5日,于西班牙博伊陶尔进行的2023年滑雪登山世锦赛落下帷幕,19岁中国小将玉珍拉姆获得女子
组短距离项目冠军.在一次练习中,玉珍拉姆在运动过程中的重心相对于水平面的高度
(单位:
)与开始时间
(单位:
)存在函数关系
,则此次练习中,玉珍拉姆在
时的瞬时速度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420bffb86587afead532b63c85209e59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65502a7ea4d1ce6d6d8c720845c73e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc348ea68ebc51bf13d2292126f469b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167bda06edd19e2be1fa65966b8cd070.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 下列求导运算正确的是( )
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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4 . 下列求导数计算错误 的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 下列函数不是奇函数的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 若函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdb57958d1bde3aec4a446f519e5008.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efbeb597fcc89a837b20c421bf8e63c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdb57958d1bde3aec4a446f519e5008.png)
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7 . 下列函数求导正确的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 下列导数运算正确的是( )
①
,则
②
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faa12c6a71239e385a64449fd3e43343.png)
③
,则
④
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148207e3f9f260a367e946137839414b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b1d897bf1170f96cac0c36823a512a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7c5724ee6a8c5b47ebb4063a6c8988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba96d5c888eb296e62c9bfb2faa6ff34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faa12c6a71239e385a64449fd3e43343.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec84404bbf6cf4a9d992e1760dcfdd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d076059d8e87991e4469f2aa16ff38c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f53f81bca037a4383c1fab122a3cd3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148207e3f9f260a367e946137839414b.png)
A.①③④ | B.①②③④ | C.①③ | D.③④ |
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名校
解题方法
9 . 给定函数
,若数列
满足
,则称数列
为函数
的牛顿数列.已知
为
的牛顿数列,
,且
,数列
的前
项和为
.则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fd18a909cecbaee7115d6b15631d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ed88593a19c891b8f937a8083b1057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fd18a909cecbaee7115d6b15631d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fd18a909cecbaee7115d6b15631d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04bdee58681ce268be8de89aef90ba5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef84c5f0af7f08b4b29efa14332861f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b937600d1582861d3a94cd534b9b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2778e2dadff4d91102e6046bb5def8.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 设某质点的位移xm与时间ts的关系是
,则质点在第2 s时的瞬时速度等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec4a19f56baeea881b281b58f4429e5.png)
A.2m/s | B.3m/s | C.4m/s | D.5m/s |
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