1 . 已知椭圆
是长轴的一个端点,弦
过椭圆的中心O,点C在第一象限,且
,
.
(1)求椭圆的标准方程;
(2)设P、Q为椭圆上不重合的两点且异于A、B,若
的平分线总是垂直于x轴,问是否存在实数
,使得
?若不存在,请说明理由;若存在,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6c35f65b54ccef49ff04276d913882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927599c5937ce806a0bedbe0192b1095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b357a41a09e0a7be2894de8831cb179a.png)
(1)求椭圆的标准方程;
(2)设P、Q为椭圆上不重合的两点且异于A、B,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030314ca026d6b18481682f70f48d19b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b66760e537378d5c94d2d2fea2eb527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2 . 已知
;
,且p是q的充分不必要条件,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091f5e79c8dd1a646b8b78339ffad256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad26a7eeb12fb736fddfce18d04561.png)
您最近一年使用:0次
3 . 曲线
的焦距是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a0bd4bd9985f1e367c100b453ed03f.png)
A.6 | B.10 | C.8 | D.![]() |
您最近一年使用:0次
4 . 已知抛物线
,直线
过点
,且与抛物线C交于M,N两点,若线段
的中点恰好为点P,则直线
的斜率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64447af8454c613a58b11d9274d3da2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7bd4e5049fa304e4d352bfe6dee455d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
5 . 命题“在
中,若
,则
”的否命题是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20befb31b8e0deb0604491ab8ab7cd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b86d43790babcdbbdc03493ee70928.png)
A.在![]() ![]() ![]() | B.在![]() ![]() ![]() |
C.在![]() ![]() ![]() | D.在![]() ![]() ![]() |
您最近一年使用:0次
2020-02-09更新
|
163次组卷
|
2卷引用:山西省运城市2019-2020学年高二上学期期末数学理科试题
名校
6 . 已知双曲线
的左、右焦点分别为
、
,过
且与x轴垂直的直线
与双曲线的两条渐近线分别交于A、B两点,
,若双曲线上存在一点P使得
,则t的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6dcd52515fe86ac3989adef2939466.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ae28043f5f4c9883a5ac594fec1c35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2707af92392822ef725927e3980b570.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-02-09更新
|
709次组卷
|
7卷引用:山西省运城市2019-2020学年高二上学期期末数学理科试题
山西省运城市2019-2020学年高二上学期期末数学理科试题(已下线)第二章++圆锥曲线与方程(能力提升)-2020-2021学年高二数学单元测试定心卷(人教版选修1-1)河北省秦皇岛市第一中学2020-2021学年高二上学期第一次月考数学试题(已下线)第二章++圆锥曲线与方程(能力提升)-2020-2021学年高二数学单元测试定心卷(人教版选修2-1)(已下线)人教B版2019选择性必修第一册综合测试(基础过关)-2020-2021学年高二数学单元测试定心卷(人教B版2019选择性必修第一册)(已下线)第二章 圆锥曲线与方程(能力提升)-2020-2021学年高二数学单元测试定心卷(苏教版选修1-1)(已下线)期中考试重难点专题强化训练(3)——圆锥曲线的综合运用-2021-2022学年高二数学单元卷模拟(易中难)(2019人教A版选择性必修第一册+第二册)
7 . 已知命题p:“
”是“直线
与
平行”的充要条件;命题q:对任意
,总有
.则下列命题为真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d905db7f5dd7c1cad340d930eb7d4e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ac6c651823b5628c01d52971c812b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2edbc31470f3a5c06938e32575c2bfb5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
8 . 如图,在四面体
中,
平面
,
.
,
.M是
的中点,P是
的中点,点Q在线段
上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/7850d128-eb0e-4c88-bd91-0fe8f8c55fce.png?resizew=190)
(1)证明:
;
(2)若二面角
的大小为60°,求
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd6a2b112facda441f4e34bf5c145fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e46571701ccaa18d3c844ab99ee6c30e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276e3c9755dbd39fb01de614840d230f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/7850d128-eb0e-4c88-bd91-0fe8f8c55fce.png?resizew=190)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be742533a98206940a01156e5cd9ae30.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b70049601f57c8a2ece170c0a9c3c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a72dfbf0138a611174c36ce077e0c47.png)
您最近一年使用:0次
解题方法
9 . 设
、
分别为双曲线
(
,
)的左、右焦点,
为双曲线右支上一点,若
的最大值为
,则该双曲线的渐近线斜率的取值范围是( )
![](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/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e146d2a87afc715cdb94e24d91ba9b20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55bffff88c5bc4c45c64122f954bbe4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 在多面体
中,四边形
是正方形,
平面
,
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/75ee2df8-5b7f-4bc6-8692-351f3f46103f.png?resizew=147)
(1)求证:
;
(2)求平面
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0b72906641ed13716cfbce50923282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868ae15e0ff5af9798d3698910cabf44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8215442c41f8f911e7aec1853cf105ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/75ee2df8-5b7f-4bc6-8692-351f3f46103f.png?resizew=147)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858bab4f7ca681a83a0f3e95feb740a2.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09d9d486b7f91ba933210dd013a7f2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
您最近一年使用:0次
2020-01-14更新
|
477次组卷
|
3卷引用:山西省运城市2019-2020学年高三上学期期末数学(理)试题