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1 . 已知
,那么
的近似值为______ .(保留小数点后一位数字)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2493a9847bdf4e7e0cb5da764d62a4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf6d10885fb83ded00d4e39532fcd10.png)
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解题方法
2 . 已知函数
及其导函数
的定义域均为R,若
是奇函数,
,且对任意
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aab45a72f14c60ed311f050a11dd361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c02b0800a67b502e2560459c326a07b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
3 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3d6decee0a0746ef2a27fd5ed07e3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb69ea329ddcc86a84f5a0977dc4cbb9.png)
A.![]() | B.2 | C.![]() | D.![]() |
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7日内更新
|
484次组卷
|
3卷引用:专题08 导数及其应用--高二期末考点大串讲(人教B版2019选择性必修第三册)
(已下线)专题08 导数及其应用--高二期末考点大串讲(人教B版2019选择性必修第三册)河北省邢台市第一中学2023-2024学年高二下学期期中测试数学试题河北省石家庄2023-2024学年高二下学期期中数学试题
2024高三·全国·专题练习
4 . 已知数列
满足
(
),
在双曲线
上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19d7082e9bf2da90d9bff63b57b3315.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a5945ce5c2114af8c18718ca8dc899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57182e0f92e2e0bcd19990be6314557d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd78a7c1cf2e8cc57a3d7bd04a7a8cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19d7082e9bf2da90d9bff63b57b3315.png)
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解题方法
5 . 设函数
的图象在点
处的切线方程为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d06e33d079ac1649ee5eea8f61de7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db94321a91f1fcbab7f5f14883c3cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b9f98fb46a20c43611da2cab6bde18.png)
A.2024 | B.2023 | C.4048 | D.4046 |
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6 . 如图,圆
与直角三角形
的两直角边相切,射线
绕点
由
逆时针匀速旋转到
的过程中,所扫过的圆内阴影部分而积
关于时间
的函数的大致图象为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-01更新
|
323次组卷
|
3卷引用:江苏高二专题03导数及其应用
7 . 午饭时间;B同学从教室到食堂的路程
与时间
的函数关系如图,记
时刻的瞬时速度为
,区间
上的平均速度分别为
,则下列判断正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977bdbf4ea6c61a93ce1bee14927e87a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897077dfef2032ebd7d7a1ea298acd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e1fa43badbcca84eb7310e1e039335.png)
A.![]() |
B.![]() |
C.对于![]() ![]() ![]() |
D.整个过程小明行走的速度一直在加快 |
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8 . 如图,直线
与曲线
,
,
,
均相交,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e915b67f8f747698b8b46d37bc453667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83f3574c440135b1e8d33f9662e7e883.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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9 . 已知符号“
”代表极限的意思,现给出两个重要极限公式:①
;②
,则依据两个公式,类比求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f9ea5309449da449f8bc999f4b470f.png)
_____ ;
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679335bc6799ad5e7ec3b0bcb132bf37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf3a11d10546b7eeb05f3f6bcc5c6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db30e8a6a792d55ffb40041088c157f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f9ea5309449da449f8bc999f4b470f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8cbed205c765a59a486190afa1094b.png)
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10 . 若函数
,
(1)用定义求
;
(2)求其图象在与
轴交点处的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0519192532883d560482ad071e7b54c4.png)
(1)用定义求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
(2)求其图象在与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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