1 . 四棱锥
中,底面
是边长为2的菱形,
.
,且
平面
,
,点
分别是线段
上的中点,
在
上.且
.
(Ⅰ)求证:
平面
;
(Ⅱ)求直线
与平面
的成角的正弦值;
(Ⅲ)请画出平面
与四棱锥的表面的交线,并写出作图的步骤.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78675cc442d678d71c6e831c0681d069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23f01af749100e1888bba06268843db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d245c35c56ded2ceb001c06a5d0ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf33d73483c93f24cc6a1d76ef22ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c590dcc28f6baa70f29a2aa7604514a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93353d428928e676b883db20613da34.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debdc6632a4877e5131d3da25cda8b89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
(Ⅱ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
(Ⅲ)请画出平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
您最近一年使用:0次
2018-06-16更新
|
1167次组卷
|
6卷引用:【全国百强校】北京市十一学校2018届高三三模数学(文理)试题
【全国百强校】北京市十一学校2018届高三三模数学(文理)试题(已下线)专题24 立体几何解答题最全归纳总结-2(已下线)专题08 立体几何解答题常考全归类(精讲精练)-1(已下线)重难点突破06 立体几何解答题最全归纳总结(九大题型)-2(已下线)专题15 立体几何解答题全归类(练习)北京市十一学校2024届高三下学期三模数学试题
名校
解题方法
2 . 如图,已知多面体EABCDF的底面ABCD是边长为2的正方形,
,
,且
.
(1)记线段
的中点为
,在平面
内过点
作一条直线与平面
平行,要求保留作图痕迹,但不要求证明;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e04eb87d1aa3784c08f3239d4ff99e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a060f4fc2c8034b08c77c065f9e125d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1316f4183e8854d38283b716e2ba1b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/18/163f8856-84f6-45d9-95fa-fa04563ea83d.png?resizew=139)
(1)记线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f636f76d550dfb593a25eb680cff556.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f636f76d550dfb593a25eb680cff556.png)
您最近一年使用:0次
2023-06-15更新
|
597次组卷
|
9卷引用:广西桂林市桂林中学2017届高三5月全程模拟考试数学(理)试题
广西桂林市桂林中学2017届高三5月全程模拟考试数学(理)试题山西省太原市第五中学2017届高三第二次模拟考试(5月) 数学(理)试题辽宁省鞍山市第一中学2018届高三上学期第二次模拟考试(期中)数学(理)试题天津市实验中学2018届高三上学期第二次模拟数学(理)试题江西省临川二中、新余四中2018届高三1月联合考试数学(理)试题安徽省舒城中学2023届高三仿真模拟卷(三)数学试题(已下线)重难点突破06 立体几何解答题最全归纳总结(九大题型)-2(已下线)专题15 立体几何解答题全归类(9大核心考点)(讲义)-1(已下线)重难点12 立体几何必考经典解答题全归类【九大题型】
名校
解题方法
3 . 如图,直四棱柱
的底面
为直角梯形,
,
,
,
,
,
分别为棱
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/0eeb0e30-ea01-43c9-8107-1f89ea74f8f1.png?resizew=211)
(1)在图中作出平面
与该棱柱的截面图形,并用阴影部分表示(不必写出作图过程);
(2)
为棱
的中点,求异面直线
与
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0d7095ddd69d6ceaf1065b1bc2c79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258f8e9f45a2b3e11d1513f23315feeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d262480ffb55b7617f44b63f130c154a.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/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/0eeb0e30-ea01-43c9-8107-1f89ea74f8f1.png?resizew=211)
(1)在图中作出平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdcf0dadb80d0d4201cc4fd16479b7d9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd5b5d9bed01632b26ab881deab2afa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
您最近一年使用:0次
2020-09-16更新
|
700次组卷
|
2卷引用:辽宁省多校联盟2019-2020学年高一下学期数学期末试题
4 . 在如图所示的六面体中,四边形
是边长为
的正方形,四边形
是梯形,
,平面
平面
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/fd1ca737-af71-4dbf-99ea-98a5938bf71b.png?resizew=163)
(1)在图中作出平面
与平面
的交线,并写出作图步骤,但不要求证明;
(2)求证:
平面
;
(3)求平面
与平面
所成角的余弦值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c766942d554e7f15ffec6eaacbe0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf9a6db3571fa57bfa2d5e4d44c51b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49282ee0fe94e4c25ffaabf419ea83b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68004768b879c6a052f45a2c45217cd6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/fd1ca737-af71-4dbf-99ea-98a5938bf71b.png?resizew=163)
(1)在图中作出平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f81fa367ec317fe2a30142e1c30cce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
(3)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2977ae4bfa32de8c6f0fb136205c4fe7.png)
您最近一年使用:0次
名校
解题方法
5 . 如图,组合体由半个圆锥
和一个三棱锥
构成,其中
是圆锥
底面圆心,
是圆弧
上一点,满足
是锐角,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/581137bb-7abd-4e73-96ef-b00ce7819718.png?resizew=177)
(1)在平面
内过点
作
平面
交
于点
,并写出作图步骤,但不要求证明;
(2)在(1)中,若
是
中点,且
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44772931f0a1dd6d5b8307b7dea5bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80041fc6b5fe12e44ba5cdfabd09cc63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44772931f0a1dd6d5b8307b7dea5bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c242f5487f782a38b5984428eca3c39.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/581137bb-7abd-4e73-96ef-b00ce7819718.png?resizew=177)
(1)在平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b6053e396df2cd152e1329fce766d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef796b46e68fe77b117ff0483d2370c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)在(1)中,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f798d6f25c170205fadc3fa6ac7ea04e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d923a338dd2d2e29336b42574d38448.png)
您最近一年使用:0次
2020-08-05更新
|
203次组卷
|
4卷引用:福建省福州第一中学2020届高三6月高考模拟考试数学(理)试题
福建省福州第一中学2020届高三6月高考模拟考试数学(理)试题福建省2020届高三考前冲刺适应性模拟卷(三)数学(理)试题(已下线)专题04 立体几何——2020年高考真题和模拟题理科数学分项汇编(已下线)考点41 立体几何的向量方法-空间角问题(考点专练)-备战2021年新高考数学一轮复习考点微专题
2020高三·全国·专题练习
真题
解题方法
6 . (1)求右焦点坐标是
,且经过点
的椭圆的标准方程;
(2)已知椭圆
的方程是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
.设斜率为
的直线
,交椭圆
于![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
两点,
的中点为
.证明:当直线
平行移动时,动点
在一条过原点的定直线上;
(3)利用(2)所揭示的椭圆几何性质,用作图方法找出下面给定椭圆的中心,简要写出作图步骤,并在图中标出椭圆的中心.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4b5304fcad9f2a5a355e26b2318f5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b647d7e0213e12c73db1adb33e8a10d.png)
(2)已知椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faa2be655f8c6db5187a1928cf8bea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/50312681cba520fc026f5b851c210d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)利用(2)所揭示的椭圆几何性质,用作图方法找出下面给定椭圆的中心,简要写出作图步骤,并在图中标出椭圆的中心.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/8/4d864af0-86dc-40c6-b710-7bd08bf0cf50.png?resizew=129)
您最近一年使用:0次
2020-05-26更新
|
483次组卷
|
3卷引用:秒杀题型09 圆锥曲线中的中点弦-2020年高考数学试题调研之秒杀圆锥曲线压轴题
(已下线)秒杀题型09 圆锥曲线中的中点弦-2020年高考数学试题调研之秒杀圆锥曲线压轴题2005年普通高等学校春季招生考试数学试题(上海卷)沪教版(2020) 选修第一册 领航者 第2章 2.2椭圆 第2课时 椭圆的性质(1)
解题方法
7 . 在如图所示的六面体中,四边形ABCD是边长为2的正方形,四边形ABEF是梯形,
,平面
平面ABEF,BE=2AF=2,EF
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/7bdd7d5b-cfe5-4383-a128-6a9558fd4a51.png?resizew=147)
(1)在图中作出平面ABCD与平面DEF的交线,并写出作图步骤,但不要求证明;
(2)求证:
平面DEF;
(3)求平面ABEF与平面ECD所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3e927b7b2383ccded03838ae8b30b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf9a6db3571fa57bfa2d5e4d44c51b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/7bdd7d5b-cfe5-4383-a128-6a9558fd4a51.png?resizew=147)
(1)在图中作出平面ABCD与平面DEF的交线,并写出作图步骤,但不要求证明;
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8197bf06d017950c85c3ba6a291c095e.png)
(3)求平面ABEF与平面ECD所成锐二面角的余弦值.
您最近一年使用:0次
8 . 如图,四棱锥
中,
平面
,
.
![](https://img.xkw.com/dksih/QBM/2016/7/27/1572943176351744/1572943181987840/STEM/9126ee21ff3941289f43f712e6d9c111.png?resizew=253)
(1)在平面
内, 过点
作直线
,使得直线
平面
(保留作图痕迹),并加以证明;
(2)求直线
和平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52bd9c7199d0773dd57ab25ed589692f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d252bad178a9b84e86ec4e4d5cad45a2.png)
![](https://img.xkw.com/dksih/QBM/2016/7/27/1572943176351744/1572943181987840/STEM/9126ee21ff3941289f43f712e6d9c111.png?resizew=253)
(1)在平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a4afe69e9ee3c701f1f109c3a0a7d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
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9 . 一种作图工具如图1所示.
是滑槽
的中点,短杆
可绕
转动,长杆
通过
处铰链与
连接,
上的栓子
可沿滑槽AB滑动,且
,
.当栓子
在滑槽AB内做往复运动时,带动
绕
转动一周(
不动时,
也不动),
处的笔尖画出的曲线记为
.以
为原点,
所在的直线为
轴建立如图2所示的平面直角坐标系.
(Ⅰ)求曲线C的方程;
(Ⅱ)设动直线
与两定直线
和
分别交于
两点.若直线
总与曲线
有且只有一个公共点,试探究:
的面积是否存在最小值?若存在,求出该最小值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/505c6b1bb0214914813bd468e5658abd.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/f33972f039914ebfa9d824c29b1ce058.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/56a73279e3984bf789d920f038332a76.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/01dab6f0505b44b09fe64e1833a4a4ff.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/505c6b1bb0214914813bd468e5658abd.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/56a73279e3984bf789d920f038332a76.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/9927897ec3b34f83b734e2812f0050eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17df11e4f242f1ab2c664127a9cc4274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e47bb98258ebfcf1d8ad4bac10b7ba.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/9927897ec3b34f83b734e2812f0050eb.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/01dab6f0505b44b09fe64e1833a4a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/9927897ec3b34f83b734e2812f0050eb.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/01dab6f0505b44b09fe64e1833a4a4ff.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/3198a5c7ac1b44c19224417bc21c6725.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/9d5e5b28b9fc41f89792b5e3dfb97d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/13/7c593eff-1103-4bce-9ba1-1a807ac5c37d.png?resizew=337)
(Ⅰ)求曲线C的方程;
(Ⅱ)设动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b65826e98ba9bea060a68b4a66a2555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41bd9a29a1bde0ab8d008769bfd279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c42b4b5f59cf1e505febfb43f3f4647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/680e72e7474b455bbfe34e88500a3a49.png)
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2016-12-03更新
|
4658次组卷
|
15卷引用:2015年全国普通高等学校招生统一考试理科数学(湖北卷)
2015年全国普通高等学校招生统一考试理科数学(湖北卷)2015年全国普通高等学校招生统一考试文科数学(湖北卷)(已下线)上海市华东师范大学第二附属中学2017-2018学年高三上学期10月月考数学试题北京市北京一零一中学2019-2020学年高二第一学期期末考试数学试题北京市101中学2019-2020学年上学期高二年级期末考试数学试题(已下线)专题29 圆锥曲线的综合问题-十年(2011-2020)高考真题数学分项安徽省马鞍山市第二中学2020-2021学年高二上学期期末理科数学试题(已下线)专题22 圆锥曲线的“三定”与探索性问题(讲)-2021年高三数学二轮复习讲练测(新高考版)(已下线) 专题26 圆锥曲线的“三定”与探索性问题(讲)-2021年高三数学二轮复习讲练测(文理通用)(已下线)专题23 圆锥曲线中的最值、范围问题 微点1 圆锥曲线中的最值问题贵州省遵义市南白中学2022-2023学年高二下学期第一次联考数学试题(已下线)专题24 解析几何解答题(文科)-4(已下线)专题24 解析几何解答题(理科)-3专题36平面解析几何解答题(第一部分)专题37平面解析几何解答题(第一部分)
10 . (1)求右焦点坐标是
,且经过点
的椭圆的标准方程.
(2)已知椭圆
,设斜率为
的直线
交椭圆
于
两点,
的中点为
,证明:当直线
平行移动时,动点
在一条过原点的定直线上.
(3)利用(2)中所揭示的椭圆几何性质,用作图方法找出图中的定椭圆的中心,简要写出作图步骤,并在图中标出椭圆的中心.
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571947852431360/1571947857920000/STEM/c28d9ef0eba44eeda5181dc7b083523c.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571947852431360/1571947857920000/STEM/d8e5e6ac67eb4145853c8cf83a5f9119.png)
(2)已知椭圆
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571947852431360/1571947857920000/STEM/7477185b1fe941e981b8590cdca860b1.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571947852431360/1571947857920000/STEM/1f22135cfb4d452e8f4ff5c0ea89c38a.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571947852431360/1571947857920000/STEM/6966e45b096d44088b1f951176c7fe24.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571947852431360/1571947857920000/STEM/da9e63efc9b9427ca212f9b6cadd87f1.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571947852431360/1571947857920000/STEM/a101441825324af9bc98161496aa0fdd.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571947852431360/1571947857920000/STEM/e62465c4941e4c3a8fc7bedf9dddda98.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571947852431360/1571947857920000/STEM/1d13f72b19fb4a32b9be6a541eab2263.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571947852431360/1571947857920000/STEM/6966e45b096d44088b1f951176c7fe24.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571947852431360/1571947857920000/STEM/1d13f72b19fb4a32b9be6a541eab2263.png)
(3)利用(2)中所揭示的椭圆几何性质,用作图方法找出图中的定椭圆的中心,简要写出作图步骤,并在图中标出椭圆的中心.
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571947852431360/1571947857920000/STEM/82de281a98b141cc9bce4e539af0d4dc.png)
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