解题方法
1 . 如图,在四棱锥
中,四边形
是矩形,
,
,
为
上一点,且
平面
,
到
的距离为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/5/6e850be1-de00-46ff-8533-3688f1fdab63.png?resizew=177)
(1)证明:
.
(2)已知点
在线段
上,且
,求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f83a04565a8ebaa111894b724b0ba266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbb05b8b630052ff544249ebd72d95d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68c1d20a422a363e356a160f096503c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/5/6e850be1-de00-46ff-8533-3688f1fdab63.png?resizew=177)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/300ee27f04188cb8ee5e20394c8f50fd.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8a5fc1d31b0f1a85e09336494c2e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09d9d486b7f91ba933210dd013a7f2c.png)
您最近一年使用:0次
2 . 已知椭圆
过
,
两点,直线
过点
,且交椭圆
于
,
两点,交
轴于点
,
,
.记
的面积为
.
(1)求椭圆
的标准方程.
(2)证明:
为定值.
(3)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84114a39cd1c55b43da8366588101842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b23b0b900e094d9bd641305c5e99110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dda128fd8bd88de4cdd76739788db7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d35322b747f1e3f16bfa16235319ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e83d16535d2a8187bbd97507056559.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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解题方法
3 . 如图,发电厂的冷却塔外形是由双曲线的一部分绕其虚轴所在直线旋转所得到的曲面,该冷却塔总高度为180米,水平方向上塔身最窄处的半径为30米,最高处塔口半径为
米,塔底部塔口半径为
米,则该双曲线的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/013407782cf6bdec227a4e6ad8c9dba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c299c64412874f30b75bc1f908be106.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/5/66a5d117-6302-4d46-bacc-86ebf176e602.jpg?resizew=252)
您最近一年使用:0次
4 . 如图,在四棱锥
中,点
是
的中点,设
,
,
,则
等于( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/2b383906-4ca6-4fac-b190-6f1bd5a0517a.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ab6779b56dc83768f8338ad9a264f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e437d1fb1191617663cabe78b21d04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c08dc1aa540bd965170315258a85c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2e331e5e22fdb7a057526934384c41.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/2b383906-4ca6-4fac-b190-6f1bd5a0517a.png?resizew=175)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 如图,四面体
中,
,
,
,
,
,
分别是
,
的中点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404728d0ea2699c71e674f30dd984abd.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/116aa36f6a9332fa772a35c6028f5598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68963a152bb8afd1639340ef0b654a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a9fa8832f98b5418a7d75892f7951b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd0c00f62c22e90e7d542a2f8dd83d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7a3e520a16d4fdd73c4e6a4ce7be0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404728d0ea2699c71e674f30dd984abd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/623d18bc-3602-4449-aa84-9a8d5008eecb.png?resizew=165)
您最近一年使用:0次
解题方法
6 . 已知
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baca30d4248a82988890bd032d159b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be07c73ffca306047977301115fbfabd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0cee165c7a747253e69ab1a6e6a7076.png)
A.充要条件 | B.充分不必要条件 |
C.必要不充分条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
7 . 下列结论正确的是( )
A.“![]() ![]() |
B.![]() ![]() |
C.![]() |
D.半径为3,且圆心角为![]() ![]() |
您最近一年使用:0次
2024-01-22更新
|
146次组卷
|
2卷引用:广东省清远市2023-2024学年高一上学期期末教学质量检测数学试卷
解题方法
8 . 已知空间向量
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0128c18f4f2d035dd04c71ddbf075c.png)
A.![]() |
B.![]() ![]() |
C.四边形![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
解题方法
9 . 椭圆
上一点
与它的一个焦点的距离等于4,则点
与另一个焦点的距离等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495476c5b48bfc12b57f88482eb9b87d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.2 | B.6 | C.8 | D.16 |
您最近一年使用:0次
名校
10 . 已知双曲线
的左、右焦点分别为
,过点
的直线与双曲线
的右支交于
两点,
与
轴相交于点
的内切圆与边
相切于点
.若
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef66f4832adc43902055a7e6d258037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0b0da26aac472886b8345cfb9bf8ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0345b4fa3aad9d2cb6d404bb4165a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
A.双曲线![]() ![]() |
B.若直线![]() ![]() ![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2024-01-19更新
|
179次组卷
|
2卷引用:广东省清远市2023-2024学年高二上学期期末教学质量检测数学试卷