1 . 已知抛物线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
的焦点为
,准线为
,经过点
且斜率为
的直线与抛物线交于点
(
在
轴上方),过
作
,垂足为
,则
到直线
的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b33a3f384acb53b5a21521a77ac0b1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360496a4f5cc8a5faca5e089ae4f9531.png)
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2 . 已知直线l经过
,
两点,直线l的斜率是直线m的斜率的三倍,则直线m的倾斜角是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7a55f5bf051cfdfba52c4b18c0c12d.png)
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2023-12-22更新
|
139次组卷
|
2卷引用:山东省枣庄市薛城实验中学等校2023-2024学年高二上学期12月大联考数学试题
名校
解题方法
3 . 我们把形如
的函数称为类双勾函数,这类函数有两条渐近线
和
,它的函数图像是对称轴不在坐标轴上双曲线.现将函数
的图像绕原点逆时针旋转一定的角度得到焦点位于x轴上的双曲线C,则该双曲线C的离心率是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9eb6c1ba9517cf6c3c7518be0a7841f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cca39b30b0b8e769293e13546b91f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5693639d9ce7b554b794006d282c1aaa.png)
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名校
4 . 若直线
的倾斜角的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13c4b4f0b7ac0a531cce81bb665471f.png)
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2023-11-29更新
|
749次组卷
|
4卷引用:云南省曲靖市第一中学2024届高三上学期第四次月考数学试卷
名校
解题方法
5 . 已知双曲线
,过点
作直线
和双曲线
交于A,B两点.点A在第一象限,过点A作x轴的垂线,垂足为H,则直线
倾斜角的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9760c8eef8e3e4b31feb10564b20bf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b6a9ffffc0c461881b427c543924cd.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/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
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名校
解题方法
6 . 已知点
,
,
为坐标原点.若
关于直线
的对称点为
,延长
到
,且
.已知直线
经过点
,则直线
的倾斜角为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a682ceca64f8b53216746fb76f3e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5137f9ddb2ae0ccdf33aeef59735cd5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb99c9a026be17b229037e6343976f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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7 . 若直线
的斜率
,则直线
的倾斜角的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc1f984a55861e3abb6d7dbac584605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8 . 直线
:
与圆
:
交于
,
两点,则直线
与直线
的倾斜角之和为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7202181091999688e52fbb3c005ada90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/230968f69f983e41df42dd82ea8265b0.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/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
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解题方法
9 . 若直线
与直线
相交,且交点在第一象限,则直线l的倾斜角
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c31facd7be5f8b55ccc9ab6051f9d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1cb41222d27da278a922db1cd5cb34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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2023-09-02更新
|
596次组卷
|
2卷引用:北师大版(2019) 选修第一册 数学奇书 学业评价(六) 两条直线的交点坐标
10 . 直线
:
和
:
与x轴围成的三角形是等腰三角形,写出满足条件的k的两个可能取值:______ 和______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767830cc1811f0f4ea5a008fdc7e723.png)
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2023-04-13更新
|
2845次组卷
|
8卷引用:湖北省武汉市2023届高三下学期四月调研数学试题