名校
解题方法
1 . 已知双曲线
的左、右两个顶点分别为
,点
为双曲线右支上的n个点,
分别与
关于原点对称,则直线
这
条直线的斜率乘积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ea74737939c0f94c91229a7098f36ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdfa42d877ba15e51c56c6f683b7f13d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a72d393f7b2a51e95bb32c84972ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdfa42d877ba15e51c56c6f683b7f13d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a2ea13b2fd107d643f64d433d90075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
2 . 已知
的顶点
,
,且重心G的坐标为
.
(1)求C点坐标:
(2)数学家欧拉在1765年提出定理:三角形的外心、重心、垂心依次位于同一直线上,这条直线被后人称之为三角形的欧拉线.求
的欧拉线的一般式方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d429efe96d68065e7d433c996682791d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf98aba96e37498ea1401b12ad5be2cf.png)
(1)求C点坐标:
(2)数学家欧拉在1765年提出定理:三角形的外心、重心、垂心依次位于同一直线上,这条直线被后人称之为三角形的欧拉线.求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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3 . 经过两点
和
的直线的斜率等于
,则m的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8317fc91d04b45040abc773e31689a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4cc445a71030a13c2261178f14fb43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
A.2 | B.3 | C.![]() | D.![]() |
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4 . 已知直线l1上有两点
,直线
的倾斜角是直线
倾斜角的2倍,则直线
的斜率为 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c274d5f575d4cc241549e9c32b495560.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 已知
,则
边所在直线的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871638d08c43202846cee23d0e11b9ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
6 . 已知椭圆
的左,右顶点分别为A,
,上顶点为
,则直线
,
的斜率之积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2961b25638cd62c7553b1539e6c171bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
您最近一年使用:0次
2023-11-19更新
|
347次组卷
|
7卷引用:河南省商丘市柘城县德盛高级中学2023-2024学年高二上学期第三次月考数学试题
解题方法
7 . 根据下列条件,写出下列直线方程的一般式:
(1)经过点
,且倾斜角为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
(2)经过点
,且一个方向向量为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21fe18fbf4b2041f087ef856070a8a0.png)
(3)在
中,点
,求
边上中线所在直线的方程
(1)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
(2)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21fe18fbf4b2041f087ef856070a8a0.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42916e10adde297a306142a92c422547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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8 . 若点
在同一条直线上,则实数
等于________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790a5605ed3af55b2133e4fbf4c98110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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9 . (1)直线倾斜角范围为________
(2)直线与x轴平行时,倾斜角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
______________ ,斜率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
____ .
(3)已知点
、
,且
与
轴不垂直(即
),过两点
、
的直线的斜率公式_________ .
(4)直线的斜率k与倾斜角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
_____
(5)斜率k与倾斜角
有如下关系:
当
时,斜率
,且k随倾斜角
的增大而_________ ;
当
时,斜率
,且k随倾斜角
的增大而_________ .
当
时,直线l与x轴垂直,此时直线l的斜率_________ .
(2)直线与x轴平行时,倾斜角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec391f08f1452fb3e0aebe7e12ba4fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a4422395ca20fe847419ec569e48b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a949c00526fddf435423272cf10f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec391f08f1452fb3e0aebe7e12ba4fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a4422395ca20fe847419ec569e48b9.png)
(4)直线的斜率k与倾斜角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efeda854bf122615bbefc408838feb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
(5)斜率k与倾斜角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/792b253e054f5c46d4bdb4280b9a8bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d165046175c70690335c3c8ce97b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0eef742bb017d3f68c742255579cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a4eaa80b44625890339d6a0065c241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1676b17f3641daf630f709517d22d120.png)
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10 . 已知直线
过点
,
.
(1)若直线
的倾斜角为
,求实数
的值;
(2)若直线
的倾斜角为钝角,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50f7b470a14ef21102166b8374265e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e396c83557ec8b2b4b12d97d6738819.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-11-19更新
|
136次组卷
|
4卷引用:河南省南阳市唐河县鸿唐高级中学2023-2024学年高二上学期8月月考数学试题
河南省南阳市唐河县鸿唐高级中学2023-2024学年高二上学期8月月考数学试题上海市建平世纪中学2023-2024学年高二下学期阶段练习1(3月)数学试卷(已下线)专题01 平面直角坐标系中的直线--高二期末考点大串讲(沪教版2020选修)(已下线)专题01平面直角坐标系中的直线全章复习攻略--高二期末考点大串讲(沪教版2020选修)