名校
1 . 给出以下
值:①
,②
,③
,④
,其中使得函数
有且仅有一个零点的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3833475ef846a56f9dfee5ede45cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280c8afbb8cab5df8eae7d0693ae4ef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6461c7d571273240a7ae4b972505c54.png)
A.①④ | B.②④ | C.①②③ | D.①②④ |
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2 . 如图,过原点斜率为k的直线与曲线
交于两点
,
,
①k的取值范围是
.
②
.
③当
时,
先减后增且恒为负.
以上结论中所有正确结论的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
①k的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd90676eb80fa1a5d35bffb087ef0a95.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b2dbf7259a1d7d48b4626505b998f1.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4356baccfdced22ad483b13700d27b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fd6fcd3e83e25540a7f38d2c034fe6.png)
以上结论中所有正确结论的序号是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/24/7720c496-535d-4d1a-bf7f-a41647a5bf6c.png?resizew=217)
A.① | B.①② | C.①③ | D.②③ |
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3 . 对函数
,满足
的实数
称为
的不动点
设
,其中
且
有下列四个结论
:
①当
时,函数
仅有一个不动点;
②当
时,函数
仅有一个不动点;
③当
时函数
有两个不动点;
④当
时函数
有两个不动点.
其中,所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930d1c2f6c59b6565aaa93c9194b4b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d76ee3b131ecd6aa1aacf7fb7b3eb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b116a163d86009c4b5b9dd353f481efc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a50ca7a5d8b63ce86c9750d4a790fac.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d76ee3b131ecd6aa1aacf7fb7b3eb15.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ed61e55b6fcf4344a50d7c3e4d5e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d76ee3b131ecd6aa1aacf7fb7b3eb15.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf9befc3b336d83b83bcfcbc19c0752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d76ee3b131ecd6aa1aacf7fb7b3eb15.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c919b54d71a78a4249d55eefa05da26f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d76ee3b131ecd6aa1aacf7fb7b3eb15.png)
其中,所有正确结论的序号是
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4 . 某高台跳水运动员在运动过程中的重心相对于水面的高度
(单位:
)与跳起后的时间
(单位:
)存在函数关系
,
的图象如图所示,已知曲线
在
处的切线
平行于
轴,根据图象,给出下列四个结论:
①在
时高度
关于时间
的瞬时变化率为
;
②曲线
在
附近比在
附近下降得慢;
③曲线
在
附近比在
附近上升得快;
④设在
和
时该运动员的瞬时速度分别为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/814f55724f7ee57bd395eb3b95393c68.png)
和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602d1b2e4f1ba4784c0030ad379dc914.png)
,则
.
其中所有正确结论的序号是______ .
![](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/ef7a1500e8c55a333fcb40d749ed8088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b36da3b4cc0a0cc408ef324b04c9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b36da3b4cc0a0cc408ef324b04c9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82120861c1c4f7cc1a7a3f169f082a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34517f479fb08f6096d2fb0362f3ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/22/6b459c44-4032-466a-8702-e1539783ff8a.png?resizew=119)
①在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82120861c1c4f7cc1a7a3f169f082a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
②曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b36da3b4cc0a0cc408ef324b04c9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3b1e1e25b1b8633d360f0922605ff2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/719a627af6b0de19823983b65637cd92.png)
③曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b36da3b4cc0a0cc408ef324b04c9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3628e2583517dddb1148b929642bfdfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98bade62c061fc94c754b6a06790ea6a.png)
④设在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3b1e1e25b1b8633d360f0922605ff2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98bade62c061fc94c754b6a06790ea6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/814f55724f7ee57bd395eb3b95393c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb53d5e68cfdbe0a24471a3a2ac6aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602d1b2e4f1ba4784c0030ad379dc914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb53d5e68cfdbe0a24471a3a2ac6aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a3645e6aa2d5450d539efa8cf97d66.png)
其中所有正确结论的序号是
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5 . 已知过点
的直线与曲线
的相切于点
,则切点
坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd853d86b2642d82b4d2b9fbcbe4a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eae1b87c23b45ce5e5e74d5b1d73234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-06-18更新
|
1498次组卷
|
7卷引用:北京市大兴区2022-2023学年高二下学期期中考试数学试题
北京市大兴区2022-2023学年高二下学期期中考试数学试题(已下线)5.2.1基本初等函数的导数(分层作业)(3种题型)-【上好课】高二数学同步备课系列(人教A版2019选择性必修第二册)(已下线)第5.2.1讲 基本初等函数的导数-2023-2024学年新高二数学同步精讲精练宝典(人教A版2019选修第二、三册)(已下线)6.1.3&6.1.4 基本初等函数的导数、求导法则及其应用(2)(已下线)导数专题:导数与曲线切线问题(6大题型)-2023-2024学年高二数学题型分类归纳讲与练(人教A版2019选择性必修第二册)(已下线)模块二 专题1 与曲线的切线相关问题(苏教版高二)(已下线)第一篇 “必拿”选择前5填空前2 专题10 导数的几何意义【练】
6 . 已知函数
,
,给出下列四个结论:
①若
,则
;
②若函数
,则
在区间
上单调递增;
③若关于x的方程
在区间
上无解,则
;
④若点M,N分别在函数
和
的图象上,则一定存在M,N关于直线
对称.其中所有正确结论的序号是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d16ad4aaca684cf56793b6d9e15bf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a081ff65b161cb432dda90ce79b0745.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af19c6415596218faa7dd1a83126c00a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08655edc1ce3fbc09c636345627f9f57.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa662f0273f0921c1fa4727f632395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
③若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c0008d46dc238d710a1efe7e2c17237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12989e380638a6792bbf05753e46118.png)
④若点M,N分别在函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
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7 . 给出下列结论:
①
②
③
④
(
为自然对数的底数) ⑤
⑥![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e18528e89036add1c405e1d4adcd3a8.png)
其中,正确结论的序号是______________________
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da302338f6bfaac0fea61d8e6e3d93b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6cba5d0ffc87bf66479cfce434b5c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3612d3ed4f97b1a2dbec93c421ec76f9.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985073477394cc788956458d3f612794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a8f9e6385d185ae898bc5cbadb4c405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e18528e89036add1c405e1d4adcd3a8.png)
其中,正确结论的序号是
您最近一年使用:0次
名校
解题方法
8 . 已知定义域为
的函数
,对
,若存在
,对任意的
,有
恒成立,则称
为函数
的“特异点”.函数
,在其定义域上的“特异点”个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca063723c123066bd698b596303f2572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3cd599b52e6d15f16ec43cfd0bcc5d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce11f6e8ccabfd811cd07107f73ed5a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271b91a3b9af1a7c2fedaeb8f8126f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebabed2cbd01f7172c0bb043cf1f8bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a1fea22550cea5c67d23d25b8750a9.png)
A.1 | B.2 | C.3 | D.4 |
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9 .
名学生参加某次测试,测试由
道题组成.若一道题至少有
名学生未解出来,则称此题为难题;若一名学生至少解出了
道题,则该生本次测试成绩合格.如果这次测试至少有
名学生成绩合格,且测试中至少有
道题为难题,那么
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75b0d2d4c86d3208ea797cc5a03ad7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0158fc47568ad3116bae022d129d9fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75b0d2d4c86d3208ea797cc5a03ad7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0158fc47568ad3116bae022d129d9fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-03-27更新
|
747次组卷
|
3卷引用:北京市第五十七中学2022-2023学年高二下学期期中测试数学试题
名校
10 . 设函数
(m∈R),曲线
在点
,
处的切线分别为l1,l2.
(1)求l1的方程,并证明:对任意实数m,l1过定点;
(2)若
存在极值,求实数m的取值范围;
(3)当m=9时,分别写出l1,l2与曲线y=
的交点个数(不需证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66465c41d0c11aa0fbd2fdea2dec9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf6940752a28a0e6f81416aba0ec0f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eee86c4f5e158341f28e80334bcaf263.png)
(1)求l1的方程,并证明:对任意实数m,l1过定点;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)当m=9时,分别写出l1,l2与曲线y=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次