1 . 直线
与椭圆
相交于
、
两点,弦
的中点纵坐标为
,则双曲线
的两条渐近线所夹锐角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95e5f794fe9774a6338e981f10a25c4.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa23acd52faab8a776d796cce931d17.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知
为锐角,且满足如
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb90cc331bacdb0e71c03eb3aa26c4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ded7b9ae18dad3e16246da89e8dcb54b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-02-04更新
|
910次组卷
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5卷引用:湖北省(B4联考新高考调研)部分省级示范性重点中学2020-2021学年高三上学期统一质量检测数学试题
湖北省(B4联考新高考调研)部分省级示范性重点中学2020-2021学年高三上学期统一质量检测数学试题(已下线)预测04 三角函数的图象与性质-【临门一脚】2021年高考数学三轮冲刺过关(新高考专用)【学科网名师堂】(已下线)数学-2021年高考考前20天终极冲刺攻略(一)(新高考地区专用)【学科网名师堂】 (5月21日)(已下线)专题14 三角恒等变形及应用(1)-【寒假分层作业】(人教A版2019必修第一册)江苏省连云港市东海高级中学2022-2023学年高一下学期学期第一次月考数学试卷
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3 . 如图,角
的顶点与平面直角坐标系
的原点重合,始边与
轴的非负半轴重合,终边与单位圆交于点
,若点
的坐标为
.
![](https://img.xkw.com/dksih/QBM/2021/1/30/2647330847588352/2650766706827264/STEM/26f2c1f95d8e40948d9c4c526f19e7b2.png?resizew=145)
(1)求
的值;
(2)若将
绕原点
按逆时针方向旋转
,得到角
,设
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32d85f28562ac5bc372a904a55ffd64.png)
![](https://img.xkw.com/dksih/QBM/2021/1/30/2647330847588352/2650766706827264/STEM/26f2c1f95d8e40948d9c4c526f19e7b2.png?resizew=145)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a20cdd2e7717da4f91c416ca4416f0a.png)
(2)若将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36581140ebac5d28438ea63b1b23b65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92110ee8664c15f3b9429cfc2e1b3028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e1ff798d2749e2e98557adc3b09b7a4.png)
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4 . 已知
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ad826f9ea1507881e03cfa1a18a508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65b6c42393fae47c51101713167ff71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
A.![]() | B.![]() | C.2 | D.![]() |
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5 . 若直线
、
的斜率分别是方程
的两根,则
、
的夹角为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b4c1772cf76365f88f113005fcd120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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|
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3卷引用:上海市曹杨第二中学2020-2021学年高二上学期期末数学试题
上海市曹杨第二中学2020-2021学年高二上学期期末数学试题沪教版(2020) 选修第一册 精准辅导 第1章 1.3(3) 两直线夹角的求法(已下线)1.3两条直线的位置关系(作业)(夯实基础+能力提升)-【教材配套课件+作业】2022-2023学年高二数学精品教学课件(沪教版2020选修第一册)
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6 . 已知抛物线
的焦点为F,准线与x轴的交点为A,点B为以F为圆心、AF为半径的圆与抛物线C的一个交点,O为坐标原点,记
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6ab90b7c421ab4d6b942d69a6aca54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85527d190d4e1d6bac4145d1c716e65e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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4卷引用:广西崇左高级中学2020-2021学年高二上学期期末模拟数学(理)试题
解题方法
7 . 我国古代数学家赵爽的弦图是由四个全等直角三角形与一个小正方形拼成的一个大正方形(如图).如果小正方形的面积为
,大正方形的面积为
,直角三角形中较小的锐角为
,那么
的值等于( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/82e654b9-9804-4c49-b0c7-f741afb777f0.png?resizew=88)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06fc7811f9525e8b8c833746d6af5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b680c397362f747ec7f644379fe4ddfc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/82e654b9-9804-4c49-b0c7-f741afb777f0.png?resizew=88)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 双曲线
的共轭双曲线的标准方程为__________ ;设A、B是双曲线C的左右顶点,P为C上一点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4706acbdca5d7c24ea284ae052daad.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9407dd040f0fc6216e18f9b28bc45d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172d889f061ebdb596c28639841bb1e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4706acbdca5d7c24ea284ae052daad.png)
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解题方法
9 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15cff59b2eb5c24c920c9234903e540d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281805b9dfe2162215dfe6b5ad6d7b03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc338c5ea3ef239f2e516eb299d1b79.png)
A.2 | B.![]() | C.3 | D.![]() |
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|
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10 . 已知抛物线
:
(
)的焦点为
,准线与
轴的交点为
,点
为以
为圆心、
为半径的圆与抛物线
的一个交点,
为坐标原点,记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85527d190d4e1d6bac4145d1c716e65e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6ab90b7c421ab4d6b942d69a6aca54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85527d190d4e1d6bac4145d1c716e65e.png)
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