1 . 已知椭圆
的左、右顶点分别为
,左、右焦点分别为
是椭圆
上一点,
,直线
的斜率为
.
(1)求椭圆
的方程;
(2)若过右焦点
的直线与椭圆
交于点
,直线
交于点
,求当
时,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56a64d6514ff711cfdf901949c253c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e818ca94be61ed06c0916e296cdc2629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448eb7d301baa90fe59b05761830f81f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8b4bbd2f9912adfc9864c0e1e76a9d.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若过右焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.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/7b1e7fbf2fefb21c712a5d8214e0033d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88b15c809c46d7981b6053d4ddbb351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96fa27f8db6167d4802a510371077bb5.png)
您最近一年使用:0次
解题方法
2 . 如图,在三棱锥
中,
,
,
为
的中点,
,
与平面
所成的角为
,则三棱锥
外接球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea4fa1cb7536e252a7aa7655016ad72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4f5cdf18c053283a4122005414b825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfa11c9612235a7200bfb2b6464d4b83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 已知数列
的通项公式为
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d305977fa7dc82c00c3a33f167d2c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf3fc9beddb7f397a6dc89c65c577a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b0d0ec9a7722515bf72b52f7f0a92ee.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
名校
4 . 已知
是三个不同的平面,
,则“
”是“
”的( )条件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f35585ccbf6e0e54f811c26fa74a3ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0205571fa39f343ee5749b78d466bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b303b1f07604f5303aea94df7f0518e9.png)
A.充分不必要 | B.必要不充分 | C.充分必要 | D.既不充分又不必要 |
您最近一年使用:0次
7日内更新
|
465次组卷
|
3卷引用:陕西省安康市高新中学2023-2024学年高一下学期6月月考数学试题
5 . 已知单位向量
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553aa90c77403804e37a6b306b9dd2ba.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e7a2c2586ccfdb4c39d30da166815a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553aa90c77403804e37a6b306b9dd2ba.png)
您最近一年使用:0次
6 . 己知函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)若函数
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc42ea0907a7189af52245b9a7fbf9e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06e453dc7e768a81fee6bb9447bd84c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b96073735e3a7a87cbf22360afd9fb2.png)
您最近一年使用:0次
7 . 已知在正项等比数列
中,
,且
成等差数列,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105fd92af4a217572cc971e485b450c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f53bbc5b6e3da6935e634c8a8c463de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ef843e7a813880292d75eb1e8f8ddc.png)
A.157 | B.156 | C.74 | D.73 |
您最近一年使用:0次
8 . 如图,在四棱锥
中,
.
;
(2)若二面角
的大小为
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd73d9ea0f30392a6ed097e588045523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/268559207a04b28fe35a1198bda23019.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a7ba7cd0c654714c967a900513ba16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
解题方法
9 . 在
中,内角
所对的边分别为
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e0b568d72b705df56dfbd0333537a7.png)
(1)求
;
(2)设
为边
的中点,
,求线段
长度的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e0b568d72b705df56dfbd0333537a7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e563e032dfdef69b0f357060c27bd4.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
10 . 将抛物线
绕其顶点逆时针旋转
后,其准线方程为
,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba33005f7f31571cb51b9e0594e9659e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da862aa92369e54ed07e7a3ee49a836f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce789cb8372c43251886290def57024b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.2 | D.-2 |
您最近一年使用:0次