名校
解题方法
1 . 如图所示,
是边长为3正三角形,
,S是空间内一点,
分别是
,
的二面角,满足
,点D到直线SB的距离是1,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94139af43ead4e1498111c4ff9a2cc55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146b7c16d81ccb92aef1e1f1788f00f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7fe637f1537666932491637f9b3d3ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33a5d8831a9bef0f3d882d97d28e6d0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5fb1f1420818dd0bc15b57bcdd3053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b09c783b689f9be3f192e6e32469e816.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/15/4d976eff-e798-4042-a1d8-57a8711e0f12.png?resizew=170)
A.![]() | B.![]() | C.![]() | D.![]() |
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6卷引用:浙江省温州市2022-2023学年高二下学期学考模拟测试数学试题
浙江省温州市2022-2023学年高二下学期学考模拟测试数学试题湖北省武汉外国语学校2023-2024学年高二上学期9月月考数学试题(已下线)高二上学期第一次月考选择题压轴题50题专练-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)辽宁省部分名校2023-2024学年高二上学期联考数学试题广东省中山市中山纪念中学2024届高三上学期第三次模拟测试数学试题(已下线)第四章 立体几何解题通法 专题三 参数法 微点1 参数法(一)【培优版】
2 . 已知圆
过点
.
(1)求圆
的方程;
(2)已知点
,
,点
是圆
上任意一点,求
的最大值,并求出此时点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78daa72a59c90db0c7d94cf76d527623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15530f883ddb1b04d38453ddd92ed36.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f39e4fe279f78b0bbc005bb1b7e862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2767866dc6472299128b8bd074e384fb.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/58b17e28ce88e9a94b0584fed68b4adf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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2卷引用:贵州省2021-2022学年高二12月学业水平考试数学试题
名校
3 . 已知椭圆
的一个顶点为抛物线
的焦点,点
在椭圆
上且
,
关于原点
的对称点为
,过
作
的垂线交椭圆于另一点
,连
交
轴于
.
(1)求椭圆
的方程;
(2)求证:
轴;
(3)记
的面积为
的面积为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d6b146e6f1d0a3ca605c7cf26272228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/088fcdd595455906a1a7080d630611f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b2da131e958f5a045dd3d5b0c68130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e4b0ddfa5aec71d6df83e574b56150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3a3db6d96518255f96ad7fc1ac98f4.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1addaf4de4d91f3553f7d0e5579fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ee2f999d11165c87e83c8862a35bc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
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2020-03-13更新
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2卷引用:2019届黑龙江省学业水平考试数学(理科)试卷
4 . 如图,设抛物线
与
的公共点
的横坐标为
,过
且与
相切的直线交
于另一点
,过
且与
相切的直线交
于另一点
,记
为
的面积.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/6816788d-8afc-44b5-92fe-d0a99cd586d0.png?resizew=130)
(Ⅰ)求
的值(用
表示);
(Ⅱ)若
,求
的取值范围.
注:若直线与抛物线有且只有一个公共点,且与抛物线的对称轴不平行也不重合,则称该直线与抛物线相切.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea269be436638d38dbb599708054530a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c9c87eba774f6bc072663d32d11fc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf4b43b6792b9ae78a1c8cae4e60524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17a323a522a579f2c3a70f11680aff2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/6816788d-8afc-44b5-92fe-d0a99cd586d0.png?resizew=130)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd71e7321a93815b4a5938850ce497c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
注:若直线与抛物线有且只有一个公共点,且与抛物线的对称轴不平行也不重合,则称该直线与抛物线相切.
您最近一年使用:0次
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|
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2卷引用:2020年1月浙江省普通高校招生学业水平考试数学试题
5 . 如图,在圆锥
中,
,
是
上的动点,
是
的直径,
,
是
的两个三等分点,
,记二面角
,
的平面角分别为
,
,若
,则
的最大值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/3d0c9569-55e3-43b2-b878-859585284f79.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e5ef91fb27dd684a27ae7f1993cfba.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/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655cc150ddc9deba2254780984d0024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.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/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1bc2f4999332446e4bce61ec9ddd62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c956c2d82405e5ec4f3989e1edbec67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbdb5bd561ffaa9fd6c50874ff07fe0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0beda192f0dfa81f7e7c7a3ad2160815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/3d0c9569-55e3-43b2-b878-859585284f79.png?resizew=175)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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7卷引用:2020年1月浙江省普通高校招生学业水平考试数学试题
2020年1月浙江省普通高校招生学业水平考试数学试题2020年1月浙江省杭州市余杭区部分学校学考高三数学试题(已下线)1.4 空间向量的应用-2021-2022学年高二数学尖子生同步培优题典(人教A版2019选择性必修第一册)江苏省常州市前黄高级中学2023届高三考前攀登行动(一)数学试题(已下线)第七章 立体几何与空间向量 第六节 利用空间向量求空间角与距离(B素养提升卷)(已下线)第一章 空间向量与立体几何(压轴题专练,精选20题)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第一册)(已下线)第四章 立体几何解题通法 专题二 升维法 微点3 升维法综合训练【培优版】
6 . 设
,
为椭圆
的左、右焦点,动点
的坐标为
,过点
的直线与椭圆交于
,
两点.
![](https://img.xkw.com/dksih/QBM/2016/10/26/1573106686074880/1573106692562944/STEM/00407d23c08f4f0b88bac947f489a5a9.png)
(3)求
,
的坐标;
(4)若直线
,
,
的斜率之和为0,求
的所有整数值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36bfda1001f393f13d41531d6b7af50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/2016/10/26/1573106686074880/1573106692562944/STEM/00407d23c08f4f0b88bac947f489a5a9.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
(4)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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