名校
解题方法
1 . 已知椭圆
的离心率为
,左焦点为
,过
且垂直于
轴的直线被椭圆
所截得的线段长为 3 .
(1)求椭圆
的方程;
(2)若直线
与椭圆
交于
两点,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.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/91a9bf6bda9363dbef5f6ff4bf6a5edf.png)
您最近一年使用:0次
2022-10-27更新
|
716次组卷
|
2卷引用:山西省阳高一中2022-2023学年高二上学期十一月线上检测数学试题
2 . 如图,四棱锥
中,侧面
为等边三角形,且平面
底面
,
,
=
=
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/29/ff55908c-f49f-46c7-ae4e-b2b2e545ccd2.png?resizew=229)
(1)证明:
;
(2)点
在棱
上,且
=
,求直线
与平面
的夹角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d57feccdd2fc903e4f555820e72693b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ff7caec4fdd8fb54a3ffbff9692414.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/29/ff55908c-f49f-46c7-ae4e-b2b2e545ccd2.png?resizew=229)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545e18836bc7fee22f8f813a6f525d93.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438f34bc8b04e8c494b91306ac6fe352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2022-06-27更新
|
718次组卷
|
4卷引用:山西省运城市景胜中学2021-2022学年高一下学期6月月考数学(理)试题
山西省运城市景胜中学2021-2022学年高一下学期6月月考数学(理)试题第一章 空间向量与立体几何 讲核心03(已下线)知识点 空间向量及其运算 易错点2 向量的夹角转化为线面角不清致错(已下线)7.5 空间向量求空间角(精练)
名校
3 . 已知命题“关于
的方程
有两个不相等的实数根”是假命题.
(1)求实数
的取值集合
;
(2)设集合
,其中
,若“
”是“
”的充分不必要条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070428a0745c623fd81b74fad6f56a6d.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c077b120400bcf88c449b828c6e30c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0ac8b620b5eca9daa7276712935ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22111b1f07e7873e5a156d1937eaac27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-08-15更新
|
313次组卷
|
5卷引用:山西省太原市第十二中学校2023-2024学年高一上学期第一次月考数学试题
23-24高一上·湖南·期中
名校
解题方法
4 . 已知命题
:“
,
”为假命题,设实数
的所有取值构成的集合为
.
(1)求集合
;
(2)设集合
,若
是
的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/415e1b0e7b9183faa90a912253a6970f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/543be1d07841373162e50f17aa93e13c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8a1b0b32229f6a9f5b85c11f05bee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa238793bdf2a25b7bfd01eaa81551a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-11-16更新
|
314次组卷
|
4卷引用:山西省长治市部分学校2023-2024学年高一上学期11月质量检测数学试题
山西省长治市部分学校2023-2024学年高一上学期11月质量检测数学试题(已下线)湖南省三湘名校教育联盟2023-2024学年高一上学期11月期中联考数学试题江苏省苏州市实验中学2023-2024学年高一上学期12月调研测试数学试题青海省海东市民和回族土族自治县城西高级中学2023-2024学年高一上学期12月月考数学试卷
名校
5 . 已知集合
,
或
,
为实数集.
(1)若
,求实数
的取值范围;
(2)若“
”是“
”的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b942eb152e6618620544515936ca78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b30fd68d34698b504304d4cae6a96f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074a2025262fb224ccab1efd1c8c992b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7f14bf7f60fe19b509223284455f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9dccb0f3cdcca85ed41ca903d5b9d0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-10-22更新
|
308次组卷
|
3卷引用:山西省临汾市洪洞县向明中学2023-2024学年高一上学期10月月考数学试题(A卷)
名校
6 . 已知命题
,不等式
恒成立;命题
,使
成立.
(1)若命题
为真命题,求实数
的取值范围;
(2)若命题
中恰有一个为真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c26ee9c6cc8de3a69cbbf71f4f221c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30547e14212f6a324cf39b944b3bbf1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb10fa33d7c26c6fd7097baaa75388d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe7e0ce7d36e55abeda7da4bba14299.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
7 . 已知函数
,其中
.
(1)求使
成立的
取值范围;
(2)若函数
,且对任意的
,当
时,都有
成立,求实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09134f4fe36ee74a2a2b3a07498b0c56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174dfd19dcca199699a46aea1102cce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b6606f8047c11b69d25d9cb66067e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1db0d22335b5eb912900190a544459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aad29a5dea066766fa0ba45bacb5829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
解题方法
8 . 已知集合
;命题
:
,
.
(1)若命题
为真命题,求实数
的取值范围;
(2)若命题
中
的取值构成集合
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f11c9ef3d1a46116e6c2c53bb81979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5667bc1ea875422f618529aa5f254f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47607a57c83a9292d82f350a458ef929.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2021-12-29更新
|
782次组卷
|
4卷引用:山西省朔州市怀仁市大地学校2021-2022学年高一上学期12月月考数学试题
山西省朔州市怀仁市大地学校2021-2022学年高一上学期12月月考数学试题(已下线)专题6.6 必修第一册期末考试总复习检测2(中)-【满分计划】2021-2022学年高一数学阶段性复习测试卷(人教A版2019必修第一册)安徽省滁州市新锐私立学校2021-2022学年高一上学期第一次月考数学试题(已下线)1.5.1全称量词与存在量词(分层作业)-【上好课】
名校
9 . 已知集合
,
,
.
(1)求
;
;
(2)若
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b9a34e3bb6d834fc65f6591a6819b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9c8fb83df4f23e3abd164128690727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a73104ee36c9a91516d77bf323d4ed.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4516645006640b18a58670f76115ea9c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc5307335ab0561befb297a016294a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2021-10-22更新
|
770次组卷
|
5卷引用:山西省大同市2021-2022学年高一上学期期中数学试题
22-23高一上·山西·阶段练习
名校
10 . 已知集合
,非空集合
.
(1)当
时,求
;
(2)若“
”是“
”的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf504d4ac41c92309b2434a2216129d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9986edfc05a4cf1e9c44f6b36c005dd.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dedff09ac873e40c3ee0ce3ecf2fa032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cecf7604f5bf32eec7adc5a463653791.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a3a95a978c23259caf993285d987b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc4c15b1d62420f42732db3b626ce3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab4717e4827480f0f6f4ded85e52eab.png)
您最近一年使用:0次
2022-10-16更新
|
456次组卷
|
4卷引用:山西省长治市、忻州市2022-2023学年高一上学期10月月考数学试题
(已下线)山西省长治市、忻州市2022-2023学年高一上学期10月月考数学试题山西省怀仁市第一中学校2022-2023学年高一上学期期末数学试题(已下线)第二章 一元二次函数、方程和不等式-单元速记·巧练(人教A版2019必修第一册)河南省濮阳外国语学校2023-2024学年高一上学期第一次质量检测数学试题