解题方法
1 . 已知双曲线
的离心率是
,
,
分别是其左、右焦点,过点
且与双曲线经过第一、三象限的渐近线平行的直线方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9efc511fa9b4ad4ca983cc5b1b6166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
2 . 已知点
在直线
上,过
作圆
的两条切线,切点为
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1846c1b54b2134a38b277ef4c4e4e6a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91bae8586becf5d68b5b28d776b4b4cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb686e4f5e3938575bc547e849d5513f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-28更新
|
466次组卷
|
3卷引用:江西省九江市2023-2024学年高二上学期期末考试数学试题
3 . 已知直线l的倾斜角为
,则l的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a59fcc3287cf8170757e4c3baf0615.png)
A.1 | B.45 | C.![]() | D.![]() |
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4 . 在平面直角坐标系
中,直线
的倾斜角是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcaada7649455fbebcdbdbb9a94e6a1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 加斯帕尔·蒙日是18~19世纪法国著名的几何学家,他在研究时发现:椭圆的任意两条互相垂直的切线的交点都在同一个圆上,其圆心是椭圆的中心,这个圆被称为“蒙日圆”(如图).已知椭圆
:
,
是直线
:
上一点,过
作
的两条切线,切点分别为
、
,连接
(
是坐标原点),当
为直角时,直线
的斜率
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b971902999be2472828cbea1f1d5725a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a759a1e72766aa5c8a42aea392eebb4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45a8a837c11c07073da3ff751d70278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be177ab36c4e3fc656cfcdb7a34f8edc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-17更新
|
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3卷引用:江西省萍乡市2023-2024学年高二上学期期末考试数学试题
解题方法
6 . 若直线
与直线
平行,则
的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850562bd886d034ca10cd60dc28322b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.6 | B.![]() | C.![]() | D.![]() |
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2024-02-14更新
|
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2卷引用:江西省上进联盟2023-2024学年高二上学期1月期末联考数学试题
解题方法
7 . 已知椭圆
的左、右顶点分别为
,
,点
为该椭圆上位于
轴上方一点,直线
与直线
交于点
,直线
与直线
交于点
,若
,则直线
的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf679418512d6ad973531df808fd267.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c87072e83b6cab0080882bc908b347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
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解题方法
8 . 若直线
与直线
平行,则
与
之间的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17417b0fb027c85fd5e662b370ffcbdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41a3e528d4057584573dc6a9adef6a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 抛物线
的方程为
,过点
的直线交
于
两点,记直线
的斜率分别为
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d059a0d71bddb677c603d84fac444b.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/f5a5e484dfef494d27bc35ae7b8cf75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4757181824e15e0f21e5bdd55448783.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-06更新
|
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|
3卷引用:江西省上饶市广丰区私立康桥中学2023-2024学年高二上学期期末模拟数学试题
江西省上饶市广丰区私立康桥中学2023-2024学年高二上学期期末模拟数学试题湖北省部分市州2024届高三上学期期末联考数学试题(已下线)3.3.2 抛物线的简单几何性质【第三练】“上好三节课,做好三套题“高中数学素养晋级之路
2024高二·全国·专题练习
名校
解题方法
10 . 若直线l1:
与直线l2:
互相垂直,则a的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc764b710d5ea7a94e3b236f9bcbed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e1092e97f279abc6ec5aad5cb821af.png)
A.![]() | B.1 | C.0或![]() | D.1或![]() |
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