名校
1 . 椭圆
:
的左、右焦点分别为
、
,直线
经过点
与椭圆
交于点
,点
在
轴的上方.当
时,
.
(1)求椭圆
的方程;
(2)若点
是椭圆
上位于
轴上方的一点,
,且
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/b44c7d3a8499af18da17231d6b898274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447e6fc9b4312fc3d7ce0d49bbd4d1ce.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4148e6581d23cc7adcc46417ec17f4a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b369b33bf95c328c886803b22d4d73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
名校
2 . 已知
,则“
”是“
”的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc50d56ff658350d65661caa7d0b56a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e539935d4ca40b33bc061f6cd4b75b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e56e8be58705ffffdf4dda36228f2b.png)
A.充分必要条件 | 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
2018-12-30更新
|
256次组卷
|
2卷引用:【全国百强校】西藏山南地区第二高级中学2019届高三上学期期中模拟数学试题
名校
3 . 已知椭圆
上一点
到右焦点的距离是1,则点
到左焦点的距离是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c763113a1fc48e8acc83787b8cd24eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2018-11-24更新
|
640次组卷
|
4卷引用:西藏拉萨那曲高级中学2022届高三上学期期中考试数学(理)试题
4 . 命题
,则
的否定形式是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1b0762733f463aca05fc10f9313ae10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77a414d2fb9dfb4f03a3593b49f1b1e.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
5 . 已知椭圆
经过点
,离心率为
,左、右焦点分别为
,
.
(1)求椭圆的方程;
(2)若直线
与以
为直径的圆相切,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f82eb4ba631d0f50d848aa6e576b379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/310f780f4f03699023b1322a1e002539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5076829e649b3f3866d4a7e07a5713e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697c20fca284394bf5d5b9e5f6d952e8.png)
(1)求椭圆的方程;
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73533688e2820dacba2199ba6087bd4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2018-11-01更新
|
2411次组卷
|
2卷引用:西藏日喀则市南木林高级中学2019届高三上学期期中考试数学试题
6 . 如图,在直三棱柱
中,
是
的中点.
![](https://img.xkw.com/dksih/QBM/2018/10/26/2061797583347712/2066059204788224/STEM/d65677146b4a4fb7a87e30e5a37069e5.png?resizew=231)
(1)求证:
平面
;
(2)若
,
,
,求平面
与平面
所成二面角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2018/10/26/2061797583347712/2066059204788224/STEM/d65677146b4a4fb7a87e30e5a37069e5.png?resizew=231)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896e293411e2fd0da215ff20781cb36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba9e20d667d04bf3ee7f55cc795ce01.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/883fc5e3faf39829d60804b59deb1730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba9e20d667d04bf3ee7f55cc795ce01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e367b683581c7cbe018078168f69efc5.png)
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7 . 已知直线
与圆
及抛物线
依次交于
四点,
则
等于
![](https://img.xkw.com/dksih/QBM/2018/10/26/2061797583347712/null/STEM/b0b15af08b144b35bd5d5c2b34bb9069.png?resizew=172)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b025a643f12b4802d5cd47ae33d5a150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/537b7724a3bb038467de3e8272a378a8.png)
![](https://img.xkw.com/dksih/QBM/2018/10/26/2061797583347712/2066059204722688/STEM/f69ac54cedec4adabff45d3dd90d3aa1.png?resizew=55)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6d16dae51c29aea621c953be852e5d.png)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe0ab1bda8940300720ddd70c02f3fc.png)
![](https://img.xkw.com/dksih/QBM/2018/10/26/2061797583347712/null/STEM/b0b15af08b144b35bd5d5c2b34bb9069.png?resizew=172)
A.10 | B.12 | C.14 | D.16 |
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8 . 已知圆C过双曲线
的一个顶点和一个焦点,且圆心在该双曲线上,则圆心到该双曲线的中心的距离是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c58fa4a337f0b81b991fb32e8e6e3c0.png)
A.![]() | B.![]() | C.![]() | D.5 |
您最近一年使用:0次
2018-11-01更新
|
711次组卷
|
2卷引用:西藏日喀则市南木林高级中学2019届高三上学期期中考试数学试题
名校
9 . 下列四个命题中,
①若
,则
,
中至少有一个不小于
的逆命题;
②存在正实数
,
,使得
;
③“所有奇数都是素数”的否定是“至少有一个奇数不是素数”;
④在
中,
是
的充分不必要条件.
真命题的个数是
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1a2cbcc1fb41a01668f1808267df4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
②存在正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a111fd49fdfaf2e32d78732719a0851b.png)
③“所有奇数都是素数”的否定是“至少有一个奇数不是素数”;
④在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d0b9c0c01b49be6e08a111568f77f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b2f44bda467c786287c7356d4ed9f7.png)
真命题的个数是
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-06-26更新
|
1178次组卷
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9卷引用:西藏日喀则区第一高级中学2017届高三下学期期中考试数学(理)试题
西藏日喀则区第一高级中学2017届高三下学期期中考试数学(理)试题2017届贵州贵阳花溪清华中学高三理9月月考数学试卷2017届贵州贵阳花溪清华中学高三文9月月考数学试卷广东省中山市第一中学2018届高三第一次统测数学(理)试题(已下线)2019高考热点题型和提分秘籍 【理数】专题2 命题及其关系、充分条件与必要条件( 题型专练)(已下线)2019高考热点题型和提分秘籍 【文数】专题2 命题及其关系、充分条件与必要条件 (题型专练)(已下线)专题17+常用逻辑用语-2021高考数学(理)高频考点、热点题型归类强化(已下线)1.4.3+含有一个量词的命题的否定(重点练)-2020-2021学年高二数学(文)十分钟同步课堂专练(人教A版选修1-1)(已下线)1.4.3+含有一个量词的命题的否定(重点练)-2020-2021学年高二数学(理)十分钟同步课堂专练(人教A版选修2-1)
名校
10 . 设
为双曲线
(
,
)的右焦点,若
的垂直平分线与渐近线在第一象限内的交点到另一条渐近线的距离为
,则双曲线的离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c18c392704d4353ad38768789c5c9031.png)
A.![]() | B.![]() | C.![]() | D.3 |
您最近一年使用:0次
2017-03-31更新
|
399次组卷
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3卷引用:【全国百强校】西藏山南地区第二高级中学2019届高三上学期期中模拟数学试题
【全国百强校】西藏山南地区第二高级中学2019届高三上学期期中模拟数学试题2017届广东省广雅中学、江西省南昌二中高三下学期联合测试文数试卷(已下线)专题9.4 双曲线 (精练)-2021年高考数学(理)一轮复习学与练