1 . 已知函数
是定义在
上的奇函数,且当
时,
,对于数列
,若
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a28068770a85b88b42321cd71ecd3c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5a05989a8c0f72fa134a31e9dbb1cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d27e9d6651c189516650fb11301b41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aae580ebcfce670585ba54023be02ed.png)
A.存在![]() ![]() ![]() |
B.![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.若存在等差数列![]() ![]() ![]() ![]() ![]() |
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解题方法
2 . 已知函数
,其极大值点和极小值点分别为
,记点
,直线
交曲线
于点
,若存在常数
,使得
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef3e79110067a46276f0869bea25af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2790aecde6df3b05f195ab8daddb56be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e11699fa0813a5e9d6baf694f5bf4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357924c44549675683398a0b7c9bcb26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
您最近一年使用:0次
3 . 下列说法正确的是( )
A.![]() ![]() ![]() ![]() |
B.在![]() ![]() ![]() |
C.15人围坐在圆桌旁,从中任取4人,他们两两互不相邻的概率是![]() |
D.已知函数![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
4 . 已知椭圆
的焦点坐标
,且过点
.
(1)求椭圆
的标准方程;
(2)直线
与椭圆
交于
,
两点,且
,
关于原点的对称点分别为
,
,若
是一个与
无关的常数,求此时的常数及四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe45bd9ad543a4974aeca26d6230061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667aea83f946c1af51168af3b41a470d.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/240f005b4078f4fde9cbc0d7e53d47eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ac79e422ba4876949f0514c44539b1.png)
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2024-01-24更新
|
209次组卷
|
3卷引用:江西省上高二中2024届高三适应性考试数学试卷
江西省上高二中2024届高三适应性考试数学试卷贵州省铜仁市2023-2024学年高二上学期1月期末质量监测数学试题(已下线)湖北省武汉市(武汉六中)部分重点中学2024届高三第二次联考数学试题变式题17-22
5 . 如图,四棱锥
中,
平面
,四边形
是直角梯形,其中
,
.
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/25/e1eb0158-b80b-4a2e-a635-1e2f881334e0.png?resizew=189)
(1)求异面直线
与
所成角的大小;
(2)若平面
内有一经过点
的曲线
,该曲线上的任一动点
都满足
与
所成角的大小恰等于
与
所成角.试判断曲线
的形状并说明理由;
(3)在平面
内,设点Q是(2)题中的曲线E在直角梯形
内部(包括边界)的、一段曲线
上的动点,其中G为曲线E和
的交点.以B为圆心,
为半径的圆分别与梯形的边
交于
两点.当
点在曲线段
上运动时,求四面体
体积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9536a2be7b84612f45cc875a00c5a5d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d93b04d2343e39ba5bfc9992c06175.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/25/e1eb0158-b80b-4a2e-a635-1e2f881334e0.png?resizew=189)
(1)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(3)在平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3355e2fa0ac6c675f02ee36c3ced4f2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e5f736b1195fef1d2d300168a795f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/543c3b2beb11fbc94d66570bfbed3ea8.png)
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2024-01-11更新
|
536次组卷
|
3卷引用:辽宁省部分名校2023-2024学年高二下学期5月质检数学试题
辽宁省部分名校2023-2024学年高二下学期5月质检数学试题上海市复兴高级中学2023-2024学年高二上学期数学期末考试数学试卷(已下线)第二章 立体几何中的计算 专题七 空间范围与最值问题 微点3 面积、体积的范围与最值问题(一)【基础版】
名校
6 . 已知函数
.
(1)若函数
在
处的切线斜率为
,求实数
的值;
(2)若函数
有且仅有三个不同的零点,分别设为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591a25a29ca17709a99394739b0c8b67.png)
(i)求实数
的取值范围;
(ii)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780098f3bddc9fa65ac43268aed940a6.png)
(1)若函数
![](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/158b045c6172c4178d7aa52083e1489f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591a25a29ca17709a99394739b0c8b67.png)
(i)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(ii)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a98a6530785d44783543f98f77454e2.png)
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22-23高三·河北·阶段练习
名校
7 . 已知点
到点
的距离比到
轴的距离大1,记点
的轨迹为
.直线
与椭圆
相切.
与
在第一象限的交点为
,且曲线
在点
处的切线斜率乘积为
.设
的上,左顶点为
.将直线
与
围成的图形绕
轴旋转
形成一个旋转体,则该旋转体的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7769b4ee449622c2b860cb765409f109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdba36d4c2d4acedbd44d08e4c04127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18839917069b4ce917a77b653c85003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1384b3248b6c1f724dbe653fb1c84153.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 平面上有两组互不重合的点,
与![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d430a0dc60efb63a1ad85b186ba66c.png)
,
,
,
.则
的范围为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98aac8bdd051e7d6ec50aa15f14c1abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d430a0dc60efb63a1ad85b186ba66c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da0df76003c64180ca21cfd01e36ff2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51febf51bfec95470929e563ffe6fc1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e530a2cdd573241f605eb54bdb6efb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ddeab4652f210d5409b158e4f6eccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ec2385c445f7b630d6f1c173629b9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-01-03更新
|
1377次组卷
|
3卷引用:辽宁省部分名校2023-2024学年高二下学期5月质检数学试题
9 . 在给出的(1)
(2)
(3)
.三个不等式中,正确的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec02e9a092068144ff7303a32272fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e1fb3675caa244cb176f10e25ff865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fb53dcea74befd1f252f4f6e82cdd7d.png)
A.0个 | B.1个 | C.2个 | D.3个 |
您最近一年使用:0次
名校
解题方法
10 . 设两个实数a,b满足:
,则正整数n的最大值为( ).(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ff6c413ffb74d6be8339ec3d486d4bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357b40f90fee90089105a478abb6b3ba.png)
A.7 | B.8 | C.9 | D.10 |
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