解题方法
1 . 在空间直角坐标系
中,平面
的一个法向量
,设
,
,
,则下列说法一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a834024400d0730af3e640ca4d5f54b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a02615b56fc93b8513bb1f90ad496f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a9e56551e3aa3385d21d8a82bbec79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37906cac34ab721e14debf49606ec14c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ac5c1599f2cd82ff678e5ff34e0ef5.png)
A.直线![]() ![]() |
B.直线![]() ![]() |
C.直线![]() ![]() ![]() |
D.A,B,C三点在![]() |
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2 . 已知
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d21ab1971194afa23e125b8d2ee188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
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解题方法
3 . 空间中的平面可以用代数方程表示:过点
且一个法向量为
的平面
的方程为
.已知平面
的方程为
,直线
是两个平面
与
的交线,则直线
与平面
所成的角的正弦值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf95be25d34a7366bf4060d081329c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b094075a5959ef2fe46e32893091f03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b523a8c1993478f6599680dc3b3dc45b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7e7eeee2de411b829ae4b44a66ea24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2f59510a9cc6e8b4b7d230bd418799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a8fd4b86ba4ac0e66b45135ad06e0e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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4 . 对于任意空间向量
,
,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
A.若![]() ![]() ![]() | B.![]() |
C.若![]() ![]() ![]() | D.![]() |
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2023-12-25更新
|
495次组卷
|
7卷引用:四川省凉山彝族自治州西昌市2020-2021学年高二下学期期中数学(理)试题
四川省凉山彝族自治州西昌市2020-2021学年高二下学期期中数学(理)试题(已下线)6.1.2空间向量的数量积(1)(已下线)1.1.2 空间向量的数量积运算(分层作业)(3种题型分类基础练+能力提升综合练)-【上好课】高二数学同步备课系列(人教A版2019选择性必修第一册)(已下线)第07讲 空间向量的数量积运算9种常见考法归类(1)江苏省苏南八校2023-2024学年高一(创优班)上学期12月联考数学试卷(已下线)专题02 平面向量的运算(八大考点)-【寒假自学课】(人教A版2019)(已下线)专题11 空间向量及其运算10种常见考法归类(2)
5 . 已知椭圆方程为
(
),
为椭圆的焦点,
为椭圆上的动点,
的最大值为3,椭圆的长轴为4.
(1)求椭圆的方程.
(2)已知圆
,过点
且斜率为
的直线
和椭圆交于
两点,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96fa27f8db6167d4802a510371077bb5.png)
(1)求椭圆的方程.
(2)已知圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab276155617fe201dcc71b5f1b54ab75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2e70ea9dca32e6f14ae26be4431457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2023-12-20更新
|
423次组卷
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2卷引用:四川省凉山彝族自治州西昌市2022-2023 学年高二上学期期中检测文科数学试卷
解题方法
6 . 根据下列条件,求曲线的方程.
(1)若圆与
轴相切,且圆心为
关于直线
的对称点,求圆的标准方程.
(2)双曲线的焦点在
轴上,焦点为
,
,焦距为
,双曲线的右焦点到一条渐近线的距离为
,求双曲线的标准方程.
(1)若圆与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9c730266ecf448c14608e24d37b986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f52cb58b6bc5d71030463ba7e28134.png)
(2)双曲线的焦点在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](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/b10e8abf8690e4b129466ddb918bcc94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
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2023-12-20更新
|
173次组卷
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2卷引用:四川省凉山彝族自治州西昌市2022-2023 学年高二上学期期中检测文科数学试卷
解题方法
7 . 已知
为双曲线
(
)的左焦点,过点
的直线
与圆
交于
两点(
在
之间),且
与双曲线
在第一象限的交点为
为坐标原点,若
,三角形
为等边三角形,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d06a6e4bf2dc85ba7ea1c601cc4803b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64541a71124237b83505dc47252d47b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876f208635a511c8dc89da1dad21c868.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f113e63f69f049b59cb6b180d66208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 2022年对每一位西昌市民来说是不平凡的一年,新冠疫情让我们美丽的西昌按下了暂停键,可爱的白衣天使,社区工作人员,市政府的工作人员,每天奋战在了抗疫一线,全体市民齐心协力,共同打赢了这场战役.现有
两个核酸检测点都在抛物线
上,
的中点坐标为
,疾控中心位于抛物线的焦点
,疾控中心
到
两个核酸检测点的距离之和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad20e2bc6576fc461419f8f138d26e7.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/01c74a907dda6bb7d9d56d009d9df253.png)
A.4 | B.5 | C.6 | D.7 |
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2023-12-15更新
|
71次组卷
|
2卷引用:四川省凉山彝族自治州西昌市2022-2023 学年高二上学期期中检测文科数学试卷
名校
解题方法
9 . 如图,已知点
是正方形
所在平面外一点,
平面
是
的中点.
(1)求证:
;
(2)若面
与面
的交线为
,求二面角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e7a965bfe565eebd3a717814ea4580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/28/0be6197e-bf76-4067-89ba-7ceb14aedf8a.png?resizew=157)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3138f9af8cd2fb1b2f1fb4b6db0a4133.png)
(2)若面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4afc5ee7b66a33ed0ddf27c52e49c6bb.png)
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10 . 如图,在四面体
中,
是
的中点,
是靠近
的三等分点,设
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/ddc5343d0ed7b449971c7ba787a621fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e665dc622a67cdeaf7b8095baae636.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/28/11621a46-de9f-4f29-bf24-99e797b050ff.png?resizew=138)
A.![]() | B.![]() | C.![]() | D.![]() |
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