名校
解题方法
1 . 如图,已知椭圆
的左、右顶点分别为
,
,其离心率为
,椭圆
上的点到焦点的最短距离为1.过平面上一点
作椭圆
的切线
,
,当直线
与
的斜率都存在时,它们的斜率之积是
,当其中一条切线的斜率不存在时,则另一条直线的斜率为0,记点
的轨迹为曲线
.直线
,
分别交椭圆
于点
,
.
的标准方程;
(2)求曲线
的方程;
(3)求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.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/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78fd95f89dec2d373fa57f02acd739f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f02028a3847c4807c2d3cf0ea7efb8.png)
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2 . 已知函数
与
的定义域均为
,
,
,且
,
为偶函数,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f75751309bdbaff164069305dfe1cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4548503c0183e0ae21943b5e93a49af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0f8954a3c445c0e6214ad5e2bac897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c36601834a9a0e473ff9b17cd66458.png)
A.函数![]() ![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
3 . 如图,某人在垂直于水平地面
的墙面前的点A处进行射击训练.已知点A到墙面的距离为
,某目标点P沿墙面上的射线
移动,此人为了准确瞄准目标点P,需计算由点A观察点P的仰角θ的大小.若
,则
的最大值是__________ .(仰角θ为直线
与平面
所成角)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e1f24575fc73daa73680222cefc4fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次
2024-05-14更新
|
298次组卷
|
15卷引用:湖北省宜昌市葛洲坝中学2018届高三9月月考数学(理)试题
湖北省宜昌市葛洲坝中学2018届高三9月月考数学(理)试题2015-2016学年四川省雅安中学高二10月月考数学试卷2018年春高考数学(理)二轮专题复习训练:专题三 立体几何与空间向量(已下线)2019年一轮复习讲练测【新课标版理】4.7 正弦定理和余弦定理的应用【练】(已下线)2019年一轮复习讲练测【新课标版文】4.7 正弦定理和余弦定理的应用【练】(已下线)2019年一轮复习讲练测 4.7 解三角形及其应用举例【浙江版】 【练】人教A版 成长计划 必修5 第一章正弦定理和余弦定理 高考链接四川省双流中学2021-2022学年高三上学期10月月考数学(理)试题2四川省双流中学2021-2022学年高三上学期10月月考数学(理)试题1安徽省合肥市肥东县综合高中2021-2022学年高三下学期期中文科数学试题(已下线)第五篇 向量与几何 专题17 三正弦定理、三余弦定理 微点1 三正弦定理、三余弦定理(已下线)高一上学期第一次月考填空题压轴题50题专练-举一反三系列(已下线)专题09 三角函数填空题(理科)-2(已下线)【数学建模】三角应用 彰显成效(已下线)【高一模块一】难度8 小题强化限时晋级练(较难2)
名校
解题方法
4 . 已知e是自然对数的底数,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40405b744b9251f0b179fc05b60123ac.png)
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5 . 已知函数
.
(1)若
,求证:
;
(2)若函数
在
处取得极大值,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ffae39f71fe2bebfa87fd627a808b5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-24更新
|
331次组卷
|
3卷引用:湖北省宜昌市协作体2023-2024学年高三上学期期中考试数学试题
名校
解题方法
6 . 如图,已知
为等边三角形,点 G是
的重心.过点G的直线l与线段AB交于点D,与线段 AC交于点
设
,
,且
设
的周长为
,
的周长为
,设
,记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7ef4a3da53511ce0ef1b55b28b990b.png)
__________ ,
的值域为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e28ce60503fab70ce1797449d90dadc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b83647557c93d7f7e9ceee524601a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2694abaac969cf6ce51a009a679fe300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee843b8908f021e14f112b87e4e48d61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7936359df4c926b72b48c6fdae55f12d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b76f79be89b8c6227b68eded6b675546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a911a7aae28cca3434079307fb5ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d5cc439e1e4a8922491a7bbad68494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7ef4a3da53511ce0ef1b55b28b990b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2709ca478fb15ea08e8aa55328eae8e6.png)
![](https://img.xkw.com/dksih/QBM/2023/11/15/3368355709321216/3369163603230720/STEM/5b50e14d4b624d36bbb9af9537f22c48.png?resizew=159)
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名校
解题方法
7 . 若实数x,y满足
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/905487a2a54ec22ac51e56de4fe76c26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/393511cfea0c362757b6b7c40a8d5058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5f01f055d304dff4a448bf0ea225eb.png)
A.![]() ![]() | B.m的最大值为![]() |
C.n的最小值为7 | D.![]() |
您最近一年使用:0次
2023-11-09更新
|
809次组卷
|
3卷引用:湖北省宜昌市部分省级示范高中2023-2024学年高一上学期11月期中考试数学试卷
湖北省宜昌市部分省级示范高中2023-2024学年高一上学期11月期中考试数学试卷浙江省温州市乐清市知临中学2023-2024学年高一上学期期中数学试题(已下线)专题04 指数函数与对数函数3-2024年高一数学寒假作业单元合订本
名校
8 . 已知
的内接四边形
中,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8df9de2faf8013c1a2641c1ed53a2e.png)
A.四边形![]() ![]() |
B.该外接圆的直径为![]() |
C.![]() |
D.过点D作![]() ![]() ![]() ![]() |
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2023-10-10更新
|
275次组卷
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2卷引用:湖北省宜昌市第一中学2023-2024学年高二上学期期中数学试题
9 . 若对
,使得
成立,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87689d7250b0a435380e22fa15533460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6e6540436970889cd05382a8841762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-09-29更新
|
841次组卷
|
5卷引用:湖北省宜昌市协作体2023-2024学年高一上学期期中联考数学试题
湖北省宜昌市协作体2023-2024学年高一上学期期中联考数学试题河南省新高中创新联盟TOP二十名校2023-2024学年高一上学期9月调研考试数学试题重庆市缙云教育联盟2023-2024学年高一上学期9月月度质量检测数学试题湖北省鄂州市部分高中教科研协作体2023-2024学年高一上学期11月期中数学试题(已下线)第二章 一元二次函数、方程和不等式-【优化数学】单元测试能力卷(人教A版2019)
名校
解题方法
10 . 如图,在矩形
中,
,
,
,
,
分别为
,
,
,
的中点,
与
交于点
,现将
,
,
,
分别沿
,
,
,
把这个矩形折成一个空间图形,使
与
重合,
与
重合,重合后的点分别记为
,
,
为
的中点,则多面体
的体积为_______ ;若点
是该多面体表面上的动点,满足
时,点
的轨迹长度为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62142d2d114ffd9f404be533b79e530b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ded15467b6a0d3b56fd1cdf5a41a5122.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2ea13010e2399194be2a681310543e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e977cb08909ddb77a8c1236bca620ac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978a7a0baaa1a4e7cdac80a6a91a0ce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589786dd7c3a2679c3230b671cd232d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357bfca91c08ec1a3f18cf6ddbe36983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3bb70557998ae1576b8eab0cbcea486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/29/ac0bc380-7886-486e-98a6-23bcba92c06d.png?resizew=155)
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2023-09-22更新
|
383次组卷
|
6卷引用:湖北省宜昌市枝江市第一高级中学2023-2024学年高二上学期10月月考数学试题
湖北省宜昌市枝江市第一高级中学2023-2024学年高二上学期10月月考数学试题江苏省南京中华中学、南京师范大学附属中学江宁分校两校2022-2023学年高三下学期3月联考数学试题江苏省南京师范大学附属中学江宁分校等2校2023届高三一模数学试题湖北省襄阳市宜城市第一中学2023-2024学年高二上学期9月月考数学试题(已下线)专题突破卷21 立体几何的轨迹问题(已下线)第18讲 第八章 立体几何初步 章节验收测评卷-【帮课堂】(人教A版2019必修第二册)