名校
1 . 已知直线
的方向向量为
=(3,2,1),直线
的方向向量为
=(0,m,-4),且
,则实数m的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bd18136e4e71e1e267bc9f8634b932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec82bd4e0fb7887e5999b8220f60b073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
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2019-04-17更新
|
363次组卷
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2卷引用:【市级联考】山西省晋中市2018-2019学年高二上学期期末调研测试数学(理)试题
名校
2 . 已知命题“
∈[1,2],
”是真命题,则实数a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a613e10df815bdd1c3e580ea4dce6535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fa73ce08d333b41fe6d3bdd5e82ced.png)
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2019-04-17更新
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972次组卷
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5卷引用:【市级联考】山西省晋中市2018-2019学年高二上学期期末调研测试数学(理)试题
【市级联考】山西省晋中市2018-2019学年高二上学期期末调研测试数学(理)试题四川省射洪中学校2022-2023学年高二下学期期中考试数学(理)试题(已下线)高一上学期期中数学试卷(提高篇)-举一反三系列四川省射洪中学校2022-2023学年高二下学期期中文科数学试题(已下线)专题03 高一上期中真题精选-期中考点大串讲(人教A版2019必修第一册)
名校
3 . 如图,在棱锥P-
中,底面
为菱形,且∠DAB=60°,平面
平面
,点E为BC中点,点F满足
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/072f860e-232c-4fdd-b49c-499493644415.png?resizew=184)
(1)求证:
平面
;
(2)求二面角
的余弦值.
![](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/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ae7c0340ac5eac087a3f5b01372774.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/072f860e-232c-4fdd-b49c-499493644415.png?resizew=184)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb178784aa857d4d4683e650273f054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ceb3c582b074d63bd7f8538b18bdb5.png)
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2019-04-13更新
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1036次组卷
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3卷引用:【省级联考】山西省2019届高三考前适应测试(湛江一模同)(A卷)数学理试题
名校
4 . 如图1,等边
中,
,
是边
上的点(不与
重合),过点
作
交
于点
,沿
将
向上折起,使得平面
平面
,如图2所示.
(1)若异面直线
与
垂直,确定图1中点
的位置;
(2)证明:无论点
的位置如何,二面角
的余弦值都为定值,并求出这个定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](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/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82957366f4c9272b6ee99126d4b6bf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460edcced5597615113c0fdc95b1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d28c625d7ac6878957facc8274d459c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
(1)若异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)证明:无论点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f18a490a22cac27417ddc794f00a1941.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/084fe24b-d60c-4f97-a94b-cc1352dbf19a.png?resizew=334)
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2019-04-07更新
|
425次组卷
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2卷引用:山西省忻州市原平市范亭中学2018-2019学年高二下学期期末数学试题
名校
5 . 已知过点
的直线l与抛物线E:
交于点A,B.
若弦AB的中点为M,求直线l的方程;
设O为坐标原点,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbf3925a451f83180e14382d15fafe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294b85c50741fbeeeb3f52f012434afa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87be53262d72dda5dd55d79ab20ff0b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526253844494fed86429e1390505e0db.png)
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2019-03-06更新
|
2030次组卷
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8卷引用:山西省2018-2019学年高二上学期期末联合考试数学(理)试题
山西省2018-2019学年高二上学期期末联合考试数学(理)试题【市级联考】吉林省白山市2018-2019学年高二上学期期末联考数学(理)试题【市级联考】河南省新乡市2018-2019学年高二上学期期末考试数学(文)试题山西省临汾一中、翼城中学、曲沃中学等学校2018-2019学年高二上学期期末数学(文)试题贵州省黔南州2018-2019学年高二上学期期末考试数学(文)试题吉林省四平市第一高级中学2019-2020学年高二上学期第三次月考数学(文)试题安徽省滁州市九校2019-2020学年高二上学期期末考试数学(文)试题(已下线)江西省南昌市2019-2020学年进贤二中高二下学期第一次月考数学(理)试题
6 . 已知椭圆
的左、右焦点分别为
,
,
为椭圆上一点,
垂直于
轴,且
为等腰三角形,则椭圆的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc7080a72f92adf5f57daf281fd359c.png)
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2019-05-19更新
|
2548次组卷
|
5卷引用:山西省2018-2019学年高二上学期期末测评考试数学(文)试题
名校
7 . 已知抛物线
:
.
(1)若直线
经过抛物线
的焦点,求抛物线
的准线方程;
(2)若斜率为-1的直线经过抛物线
的焦点
,且与抛物线
交于
,
两点,当
时,求抛物线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c6d3c99b7004603ba9ea9c341b8b3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若斜率为-1的直线经过抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8f34f2048a0eece64a4bbbc11da7c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2019-05-19更新
|
2361次组卷
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9卷引用:山西省2018-2019学年高二上学期期末测评考试数学(文)试题
山西省2018-2019学年高二上学期期末测评考试数学(文)试题山西省2018-2019学年高二上学期期末测评考试数学(理)试题山西省永济中学2018-2019学年高二上学期期末考试数学(文)试题甘肃省天水市第一中学2019-2020学年高二上学期第二次学段(期中)考试数学(文)试题西藏拉萨市2019-2020学年高二上学期期末联考数学(理)试题新疆哈密市第一中学2021-2022 学年高二下学期期中考数学试题(文科)西藏拉萨中学2022-2023学年高二上学期期末考试数学试题陕西省汉中市2021-2022学年高二上学期期末校际联考理科数学试题陕西省渭南市蒲城县2021-2022学年高二上学期期末理科数学试题
名校
8 . 已知椭圆:
的左右焦点分别为
,
为椭圆上的一点
与椭圆交于
.若
的内切圆与线段
在其中点处相切,与
切于
,则椭圆的离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38928a92bc4b44ed3c9b89769f5372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a498efa7b1c44bafa4327a512e9c55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-02-01更新
|
2213次组卷
|
5卷引用:【全国百强校】山西省长治二中2018-2019学年高二上学期期末考试数学(理)试题
名校
9 . 设双曲线
(
)的左、右焦点分别为
,过
的直线分别交双曲线左右两支于点
,连结
,若
,
,则双曲线
的离心率为.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e95210278351fe5ca0561977d3ab85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca82d6c856347f726036b8c5f8e46f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122ba80be450e578bef55b932232e884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7490886e2807c7b8a4fa57d99c4dc3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19adbaa276fb78dc6cb805307d64abee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72ebec1edf100c0f98cf085f58dae0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f1113f1967ea9591be7aca00cc14c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-01-31更新
|
2436次组卷
|
7卷引用:山西省山西大学附中2018-2019学年高三下学期3月模块诊断数学(理)试题
10 . 已知
,
是双曲线
的左右焦点,P是双曲线右支上一点,M是
的中点,若
,则
是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a055d94c4c69a7f867c0e2b69bd8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1996f60e2c55e0caa2b095ac23ab2b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5cc7c921615e0275832713e8ba2ccae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6121baf6ee0a227920267d10c6f9608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5927b1dcfe6d20fda213d27b0aa1ebf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2856bd54b0e2336a7d87834013d6282f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
A.10 | B.8 | C.6 | D.4 |
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2019-04-06更新
|
675次组卷
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6卷引用:【市级联考】山西省晋中市2018-2019学年高二上学期期末调研测试数学(理)试题