名校
1 . 已知椭圆
的离心率为
,左、右焦点分别为
,
,焦距为6.
(1)求椭圆
的方程.
(2)过椭圆左顶点的两条斜率之积为
的直线分别与椭圆交于
点.试问直线
是否过某定点?若过,求出该点的坐标;若不过,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过椭圆左顶点的两条斜率之积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602baac86c2b1668ecdfadc8a5948885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
2019-01-18更新
|
775次组卷
|
4卷引用:江苏省常州市2019-2020学年高二上学期期末数学试题
名校
2 . 已知点P是椭圆C:
上的一个动点,点Q是圆E:
上的一个动点,则|PQ|的最大值是___
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf679418512d6ad973531df808fd267.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081576968d7f6bca9a3b3311df1856c6.png)
您最近一年使用:0次
2019-01-12更新
|
2103次组卷
|
4卷引用:专题2.4 幂函数与二次函数(练)-江苏版《2020年高考一轮复习讲练测》
(已下线)专题2.4 幂函数与二次函数(练)-江苏版《2020年高考一轮复习讲练测》【市级联考】四川省绵阳市2019届高三第二次(1月)诊断性考试数学(文)试题四川省成都外国语学校2020-2021学年高二上学期12月月考数学(文)试题四川省达州外国语学校2023-2024学年高二上学期11月月考数学试卷
名校
3 . 在平面直角坐标系
中,设椭圆
的下顶点为
,右焦点为
,离心率为
.已知点
是椭圆上一点,当直线
经过点
时,原点
到直线
的距离为
.
(Ⅰ)求椭圆
的方程;
(Ⅱ)设直线
与圆
:相交于点
(异于点
),设点
关于原点
的对称点为
,直线
与椭圆相交于点
(异于点
).①若
,求
的面积;②设直线
的斜率为
,直线
的斜率为
,求证:
是定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef6b94e42869013745050aba059b58dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(Ⅰ)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b4bcb812c997db47214cb52c905f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a7c0e6908e62cb7a2d7f105a01e04de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc3919b5000f9af77ddb77a62bee9c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67351fe10fcfc3f9072eec4c60bfaaa5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/b35c33c6-eba7-49ba-ac5a-28c8b6bc4302.png?resizew=252)
您最近一年使用:0次
2019-01-08更新
|
729次组卷
|
3卷引用:【市级联考】江苏省无锡市2019届高三第一学期期末复习数学试题
名校
4 . 已知椭圆
的离心率为
,以椭圆的2个焦点与1个短轴端点为顶点的三角形的面积为
.
(1)求椭圆的方程;
(2)如图,斜率为k的直线
过椭圆的右焦点F,且与椭圆交与
两点,以线段
为直径的圆截直线
所得的弦的长度为
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
(1)求椭圆的方程;
(2)如图,斜率为k的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/7832b79a-2151-4b27-8b46-c58fb62b80e8.png?resizew=220)
您最近一年使用:0次
2019-01-04更新
|
928次组卷
|
7卷引用:【省级联考】江苏省2019届高三年级4月质量检测数学试题含附加题
5 . 平面直角坐标系
中,已知椭圆
的离心率为
,左、右焦点分别是
,以
为圆心以3为半径的圆与以
为圆心以1为半径的圆相交,且交点在椭圆
上.
(1)求椭圆
的方程;
(2)过椭圆
上一动点
的直线
,过F2与x轴垂直的直线记为
,右准线记为
;
①设直线
与直线
相交于点M,直线
与直线
相交于点N,证明
恒为定值,并求此定值.
②若连接
并延长与直线
相交于点Q,椭圆
的右顶点A,设直线PA的斜率为
,直线QA的斜率为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a82b85d3f59cf6c73fd6f31cb8bd097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/014fb9d469a4b0b8a907ac416ad13585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882651b776851f3f0665de12da6ed47d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/507d4f770bf7fc9bb012d69fa052644f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e74b54fca09a55c3720426e2dc4dfa9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
①设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8f64ebec4a71a609204458cc54df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea5c8fe935beac660eda538e59cd43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c05951136998168b08b85a8cbd263de.png)
②若连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4c947d279558deb4902b03be5299c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea5c8fe935beac660eda538e59cd43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f375dc5addedc5f9fbb72d566939c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731f980ccb6f902d460d0ea2920bfe2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02248bfd4daed0e93455fc898b2666b2.png)
![](https://img.xkw.com/dksih/QBM/2018/12/19/2100386859679744/2101590403727360/STEM/465b23a91d9f47d6916e3b08680badf9.png?resizew=192)
您最近一年使用:0次
名校
6 . 如图,
平面
,
,
,
,
,
是
的中点.
![](https://img.xkw.com/dksih/QBM/2019/7/16/2247931161116672/2247957236981760/STEM/1791813d9e1b427c94cd33e68c37cc82.png?resizew=235)
(1)求证:
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc77e828650bc522b229a9d11e0197c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f01fb34062af96f8ba7e1e05fb5f862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24914bb2ddc7a5d0cb8772ea5fd31401.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4568a33b56a5683c5bd4ff3a05fb32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e61dcea246d9be228d26796f59443bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252053b853152bd294a8315debd00b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/2019/7/16/2247931161116672/2247957236981760/STEM/1791813d9e1b427c94cd33e68c37cc82.png?resizew=235)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69c2344dc6a9f77a169f2b320263418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0fa442c18f1129caf84cb6ff4425fe4.png)
您最近一年使用:0次
2018-10-21更新
|
1137次组卷
|
3卷引用:【全国百强校】江苏省徐州市第一中学2019届高三上学期第一次月考数学试题
名校
7 . 设椭圆
,点
为其右焦点,过点
的直线与椭圆
相交于点
,
.
![](https://img.xkw.com/dksih/QBM/2018/12/20/2100715681308672/2101571474366464/STEM/d0aa6406d8ef4bd19a5ae037b7c6108e.png?resizew=336)
(1)当点
在椭圆
上运动时,求线段
的中点
的轨迹方程;
(2)如图1,点
的坐标为
,若点
是点
关于
轴的对称点,求证:点
,
,
共线;
(3)如图2,点
是直线
上的任意一点,设直线
,
,
的斜率分别为
,
,
,求证
,
,
成等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e759f106cb7761ca3128802223a77e.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/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://img.xkw.com/dksih/QBM/2018/12/20/2100715681308672/2101571474366464/STEM/d0aa6406d8ef4bd19a5ae037b7c6108e.png?resizew=336)
(1)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c2293f93791a597bf0162411f3395f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)如图1,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a812a9b58ccba331cfd21d244329af01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(3)如图2,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdbd8a5d973b7a54b7605388fdcfbb07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d583183429b6b31aa9742eefc67d3181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ffda0c209f06e21770aeab0abc8cbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e4b0ddfa5aec71d6df83e574b56150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a41083fa3ad6a465181aaae381c448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b3a6ee9ff60580111bb761e7147dafa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53d245e279f0e4d50a5a6b83bd2510d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a41083fa3ad6a465181aaae381c448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b3a6ee9ff60580111bb761e7147dafa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53d245e279f0e4d50a5a6b83bd2510d.png)
您最近一年使用:0次
2018-12-21更新
|
576次组卷
|
3卷引用:江苏省泰州中学2019届高三3月月考数学试题
2012·广东深圳·一模
名校
解题方法
8 . 如图,在平面直角坐标系xOy中,已知椭圆
的离心率为
,以椭圆C左顶点T为圆心作圆
,设圆T与椭圆C交于点M与点N.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/dc1271f6-ae4f-4681-b3bf-27498f592d5c.png?resizew=308)
(1)求椭圆C的方程;
(2)求
的最小值,并求此时圆T的方程;
(3)设点P是椭圆C上异于M,N的任意一点,且直线MP,NP分别与x轴交于点R,S,O为坐标原点,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f917c606f7883cff799fc35ec068ee8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/dc1271f6-ae4f-4681-b3bf-27498f592d5c.png?resizew=308)
(1)求椭圆C的方程;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40fa4729c5ac7062d40bbcf3e49312d2.png)
(3)设点P是椭圆C上异于M,N的任意一点,且直线MP,NP分别与x轴交于点R,S,O为坐标原点,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2382c2608298c372d89106b359c0f495.png)
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2020-04-18更新
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1183次组卷
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14卷引用:江苏省南京市秦淮区2018-2019学年高三下学期第三次模拟考试数学试题
江苏省南京市秦淮区2018-2019学年高三下学期第三次模拟考试数学试题江苏省泰州市第二中学2020届高三下学期5月学情调研数学试题(已下线)2012届广东省深圳市高三第一次调研理科数学(已下线)2014届广东省“十校”高三第一次联考理科数学试卷(已下线)2013-2014学年山东济宁任城一中高二上期中检测理科数学试卷(已下线)2014届山东省菏泽市高三3月模拟考试文科数学试卷(已下线)2014届广东省东莞市高三第二次模拟考试文科数学试卷2016届陕西省西安市铁一中学高三下学期开学考试文科数学试卷2015-2016学年吉林省延边二中高二上期末理科数学试卷陕西省西安市长安区第一中学2016-2017学年高二下学期期中考试数学(文)试题【全国百强校】山西省平遥中学2019届高三12月月考数学(理)试题吉林省吉林市吉林第一中学2020-2021学年高二上学期阶段性考试数学试题(已下线)专题3-5 圆锥曲线定值问题(已下线)第五篇 向量与几何 专题8 帕斯卡定理、布列安桑定理、笛沙格定理、彭塞列闭合定理 微点3 笛沙格定理、彭塞列闭合定理
名校
解题方法
9 . 如图,在正四棱柱
中,
,
,点
是
的中点.
(1)求异面直线
与
所成角的余弦值;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/8/89ecb0a1-cac9-4a6d-b6ec-73133cd0a7bb.png?resizew=116)
(1)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48856dc77af21bf856c6ea77a9077e00.png)
您最近一年使用:0次
2018-06-30更新
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3694次组卷
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8卷引用:【区级联考】江苏省泰州市姜堰区2018-2019学年高二下学期期中考试数学(理)试题
10 . 如图,在三棱柱ABC−
中,
平面ABC,D,E,F,G分别为
,AC,
,
的中点,AB=BC=
,AC=
=2.
(2)求二面角B−CD−C1的余弦值;
(3)证明:直线FG与平面BCD相交.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8bfe2553e852df73185d017c0a62fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
(2)求二面角B−CD−C1的余弦值;
(3)证明:直线FG与平面BCD相交.
您最近一年使用:0次
2018-06-09更新
|
14809次组卷
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35卷引用:江苏省徐州市侯集高级中学2019-2020学年高二上学期期末数学试题
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