1 . 如图,已知椭圆
的离心率为
,
、
分别是椭圆的左、右焦点,点
是椭圆上任意一点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/e177192c-9989-41a3-be23-29ba79a33af1.png?resizew=207)
(Ⅰ)求椭圆的标准方程;
(Ⅱ)在直线
上是否存在点Q,使以
为直径的圆经过坐标原点O,若存在,求出线段
的长的最小值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0348e8cdd04a08e36cf940aa4bbd95b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f595683f69d5d6b5ca76408b0ff6ff17.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/e177192c-9989-41a3-be23-29ba79a33af1.png?resizew=207)
(Ⅰ)求椭圆的标准方程;
(Ⅱ)在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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2 . 如图,在四棱锥
中,
,底面ABCD是边长为3的正方形,E、F、G分别是棱AB、PB、PC的中点,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/39e82a74-0307-418f-83b2-b98235dee163.png?resizew=292)
(Ⅰ)求证:平面EFG∥平面PAD;
(Ⅱ)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a4426db778693c875e2dca9220875d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbb05b8b630052ff544249ebd72d95d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19f0fcacac715a1200770516d1e4a67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d0f60d9856f286e537788a99377590.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/39e82a74-0307-418f-83b2-b98235dee163.png?resizew=292)
(Ⅰ)求证:平面EFG∥平面PAD;
(Ⅱ)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ad0298c0f7878cb7c4dd7a141cd952.png)
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3 . 已知函数
,其中
,且曲线
在点
处的切线与直线
垂直,
(Ⅰ)求a的值;
(Ⅱ)求函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070e0f6ee7726d446d12c7d8756587c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfee70f595af11df06d9d666debd414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843b783e75e5fbc824e64f46c3f55e58.png)
(Ⅰ)求a的值;
(Ⅱ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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4 . 如图,在三棱柱
中,
,
,
,D是棱BC的中点,E是侧面四边形
的对角线
的中点.
![](https://img.xkw.com/dksih/QBM/2019/11/28/2343720216010752/2394508680888320/STEM/f194f152b5d74224b8cbd6e6071f545c.png?resizew=144)
(Ⅰ)求证:
平面
;
(Ⅱ)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22baaea72c9286f1d8d7b99c37755678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc0a886f1192d450ced9fd875e78425e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46fe926770d2354e172dec02f5ce2efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://img.xkw.com/dksih/QBM/2019/11/28/2343720216010752/2394508680888320/STEM/f194f152b5d74224b8cbd6e6071f545c.png?resizew=144)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
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5 . 已知直线l:
与圆C:
相交于
,
两点.
(Ⅰ)求圆C的圆心坐标和半径;
(Ⅱ)求弦
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6dc749128e8075c763f5cba9ff9888a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f308668d4851884b03c3475dff4ef65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(Ⅰ)求圆C的圆心坐标和半径;
(Ⅱ)求弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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6 . 已知直线
的斜率为
,且在y轴上的截距为
.
(Ⅰ)求直线
的方程,并把它化成一般式;
(Ⅱ)若直线
:
与直线
平行,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78fd95f89dec2d373fa57f02acd739f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
(Ⅰ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(Ⅱ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/322796f8098393a2fb93753c1d2d026a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-02-08更新
|
249次组卷
|
3卷引用:重庆市大足区2018-2019学年高二上学期期末数学(文)试题
重庆市大足区2018-2019学年高二上学期期末数学(文)试题(已下线)3.2.1 直线的点斜式方程-2020-2021学年高一数学课时同步练(人教A版必修2)广东省潮州市湘桥区南春中学2021-2022学年高二上学期第一次月考数学试题
7 . 若函数
在点
处取得极值,则
的值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/887c772f71a850c116cb386c0aab594d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 若函数
在区间
上单调递增,则
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d168ce47f33bf387f44db5282774e5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42c17641215934a3452ddd52042d9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
9 . 命题“若
,则
”的逆命题是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd15ead753cf2927f51d07c7727c6cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b994673c62c6370c68f688161b50ffce.png)
您最近一年使用:0次
2020-02-08更新
|
143次组卷
|
3卷引用:重庆市大足区2018-2019学年高二上学期期末数学(文)试题
重庆市大足区2018-2019学年高二上学期期末数学(文)试题(已下线)第一、二章综合测试(基础过关)-2020-2021学年高二数学单元测试定心卷(人教版选修2-1)内蒙古自治区包头市第四中学2021-2022学年高二上学期期中数学试题
10 . 设
是
的导函数,若
在闭区间
上有最大值
,最小值
,则
的取值范围是
![](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/bc02c3b00f516063276847d0071c16a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cadf794139d634aa74e1ceed171b02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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