1 . 如图,在四棱锥
中,
平面ABCD,四边形ABCD为正方形,
,F,E分别是PB,PC的中点.
;
(2)求平面ADEF与平面PCD的夹角.
![](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/828d70017e2681ddc069b7a856796c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5acad7a0811d29ce09125359f43ca75.png)
(2)求平面ADEF与平面PCD的夹角.
您最近一年使用:0次
名校
2 . 设点
,
,
,若
,则点
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2f02cc1dd63ff0715c86f3c0f8bc1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72f5139e22dea383e7cc80e5c4e0085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4098582bf9572f219d7a7d1f30562d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b82bd6f86d05c4bff63599021522a74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7日内更新
|
150次组卷
|
3卷引用:青海省海东市第一中学2023-2024学年高二上学期第一次月考数学试题
名校
解题方法
3 . 已知椭圆
的离心率为
,椭圆上的点到焦点的距离的最大值为3.
(1)求椭圆C的标准方程;
(2)设A,B两点为椭圆C的左、右顶点,点P(异于左、右顶点)为椭圆C上一动点,直线PA,PB的斜率分别为
,
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求椭圆C的标准方程;
(2)设A,B两点为椭圆C的左、右顶点,点P(异于左、右顶点)为椭圆C上一动点,直线PA,PB的斜率分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b881044b5c73db6fcce110525741b02.png)
您最近一年使用:0次
2024-06-15更新
|
279次组卷
|
2卷引用:青海省海东市民和回族土族自治县城西高级中学2023-2024学年高二下学期3月月考数学试题
名校
4 . 如图,这是一个落地青花瓷,其中底座和瓶口的直径相等,其外形被称为单叶双曲面,可以看成是双曲线
的一部分绕其虚轴所在直线旋转所形成的曲面.若该花瓶横截面圆的最小直径为
,最大直径为
,双曲线的离心率为
,则该花瓶的高为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e57171806f407a98dd8a796d4d2d6bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9871f2a312aaf3a19b40e4fb1a7693b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-12更新
|
120次组卷
|
4卷引用:青海省海东市第二中学2023-2024学年高二上学期第二次月考数学试题
5 . 已知
在椭圆
上,
分别为
的左、右焦点.
(1)求椭圆
的离心率;
(2)若动点
均在
上,且
在
轴的两侧,求四边形
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246668e713de36a9e3af9b0d0d3ee9e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2bb9c075a320b0fe23145061b1fb0f8.png)
您最近一年使用:0次
名校
6 . 已知点
,且四边形
是平行四边形,则点
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a4fc4a6855eb8ae75e2758c9f7de4b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-25更新
|
111次组卷
|
5卷引用:青海省海东市第二中学2023-2024学年高二上学期第二次月考数学试题
7 . 已知方程
表示双曲线,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8d305f79880c9dfe196c8b4ced7c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
8 . 已知椭圆
的长轴长等于20,离心率等于
,则椭圆
的标准方程可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
9 . 已知向量
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25319149da5f5097648e3ac246a3246b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 已知点
是抛物线
的焦点,点
在
上,且
.
(1)求
的方程;
(2)过点
作两条互相垂直的直线
交
于
两点,
交
于
两点.求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105fc189cd8499892183c046897282a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c9aa5dc8e688868ad3eac88714cd51.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254d90ef7eba319615e1fd6e01f6abd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0556ce16fbbb02a803ea0ab2546ef706.png)
您最近一年使用:0次
2024-01-22更新
|
120次组卷
|
3卷引用:青海省西宁市大通县2023-2024学年高二上学期期末考试数学试题