解题方法
1 . 已知椭圆
过点
,且离心率
.
(1)求椭圆
的方程;
(2)
为椭圆
的右焦点,
为直线
上一点,过点
作
的垂线
交椭圆
于
两点,连接
与
交于点
(
为坐标原点).求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb4e996beb1cf6c93f9d951b0586b7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234e7679481ec0d01c915b7fbb71891d.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e2acd4f8b7d0e7797bc2737003d84b2.png)
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解题方法
2 . 已知抛物线
,其准线方程为
.
(1)求抛物线
的方程;
(2)直线
与抛物线
交于不同的两点
,求以线段
为直径的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db0a1cbf7b0ed76c443b953af8734d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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3 . 如图,在正四棱柱
中,
为棱
上的一个动点,给出下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/3/4d20d730-2c99-4233-9d32-582e23bf5b1b.png?resizew=119)
①
;
②三棱锥
的体积为定值;
③存在点
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
平面
;
④存在点
,使得
平面
.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94b82dd1753348cf763d36f6941155c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/3/4d20d730-2c99-4233-9d32-582e23bf5b1b.png?resizew=119)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9c3f0236e1f9416d34c12272e8598b.png)
②三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95944bab519692fe8551a7557ab58a09.png)
③存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c1acd7da8817385417e1dff25bfe25.png)
④存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565133e91e3ace2b2187cfc6f1db5be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c1acd7da8817385417e1dff25bfe25.png)
其中所有正确结论的序号是
您最近一年使用:0次
解题方法
4 . 如图,在四棱锥
中,
平面
,底面
为菱形,
分别为
的中点.
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
平面
;
(2)若
,再从条件①、条件②这两个条件中选择一个作为已知.求二面角
的大小.
条件①:
;
条件②:
.
注:如果选择条件①和条件②分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac4ee9a98647379757a6f643fb73438.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/3/e8b24db6-9aad-4943-8f98-126bdf572477.png?resizew=183)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442ddcea3d1c0c8536c091e0969eee60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38b8df87ef099eae61bb07018f2ab335.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c383691e8d740830a865b12d66f7633.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3672e603d06c9186edd20cfc662d8dc.png)
注:如果选择条件①和条件②分别解答,按第一个解答计分.
您最近一年使用:0次
5 . 方程
表示的曲线是__________ ,其标准方程是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266ed8002a339746965afc42d6ba1dec.png)
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6 .
为直线
上一点,过
总能作圆
的切线,则
的最小值( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8041c797b98b834c70dbf7d1d4346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 已知直线
,直线
.若
,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a9c615ba94fe65108b130cc4244243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3547c5b2a5e407bdbf9d85e8438a93bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.![]() | B.![]() | C.![]() | D.3 |
您最近一年使用:0次
8 . 在空间直角坐标系
中,点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e336d6ca2cae3d6e6c3810d7e521a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a46b72ddcd17a1675af204176f50442.png)
A.直线![]() ![]() ![]() | B.直线![]() ![]() |
C.直线![]() ![]() ![]() | D.直线![]() ![]() |
您最近一年使用:0次
9 . 直线
与直线
之间的距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fc316966a38cfac924cfaeb10813bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5f69a1595ec04a16fad215f1d4e600.png)
您最近一年使用:0次
2024-01-18更新
|
226次组卷
|
4卷引用:北京市石景山区2023-2024学年高二上学期期末考试数学试卷
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名校
解题方法
10 . 用
可以组成无重复数字的两位数的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f44afd045c047c39b365a800b58793.png)
A.25 | B.20 | C.16 | D.15 |
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2024-01-18更新
|
646次组卷
|
6卷引用:北京市石景山区2023-2024学年高二上学期期末考试数学试卷
北京市石景山区2023-2024学年高二上学期期末考试数学试卷(已下线)专题15 排列9种常见考法归类-【寒假自学课】2024年高二数学寒假提升学与练(苏教版2019)(已下线)7.2 排列(十大题型)-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第二册)北京市顺义区第一中学2023-2024学年高二下学期4月月考数学试卷(已下线)专题02 计数原理-4(已下线)专题02 计数原理-1