名校
1 . 若点
,
到直线
的距离相等,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753f70f89ee9f98bbb12c866087d1be1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a20908aa5f7d27a6bc69a3d00e56486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e3ab79dd98d586b7f588e278e4035cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.1 | B.![]() | C.1或![]() | D.![]() |
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2024-01-14更新
|
640次组卷
|
3卷引用:四川省部分名校2023-2024学年高二上学期期中联合质量检测数学试题
2 . 已知直线
和直线
的交点为
,求过
且与
和
距离相等的直线方程;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8bf4c5441af2933c5bd4422b3dfad28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1cb41222d27da278a922db1cd5cb34.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/98b2cc0d2f6d3eee9a33db83e0c0830d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b07bddd9bebc06909947a3f429ce3348.png)
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2023-12-24更新
|
457次组卷
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2卷引用:陕西省渭南市尚德中学2023-2024学年高二上学期第二次(期中)质量检测数学试卷
解题方法
3 . 已知直线l过点
,求满足下列条件的直线l的方程.
(1)在两坐标轴上的截距相等;
(2)
,
到直线l距离相等.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
(1)在两坐标轴上的截距相等;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc9aa334c8a364cbc597127d60b2b51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49a31f8e8dba418bd5d886998ef8d17.png)
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解题方法
4 . 已知
的三个顶点是
.
(1)求
边上的高所在直线的方程;
(2)若直线
过点
,且点
到直线
的距离相等,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b819db15a2514bd68e0f39d6686ec1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)若直线
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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5 . 以下四个命题正确的有( )
A.直线![]() ![]() ![]() |
B.直线l过定点![]() ![]() ![]() ![]() |
C.点![]() ![]() ![]() |
D.已知![]() ![]() ![]() ![]() |
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2023-12-15更新
|
365次组卷
|
3卷引用:浙江省宁波三锋教研联盟2023-2024学年高二上学期期中联考数学试题
6 . 已知
,
,若
,
到直线
的距离都等于
,则满足条件的直线
共有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2f21b1baf0624482fd41d7ba390341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5793d7cb40629e640fb706e16b2b2890.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.1条 | B.2条 | C.3条 | D.4条 |
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7 . 写出过点
且与两定点
、
等距离的一条直线方程为_________ .(写出符合条件的直线方程一般式)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1dab74e16403e8131f9f5b2a74f3a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be3ad3dd6803d92df6ff8a80cd35095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6dfee6dde82677883cf0758da95cb12.png)
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8 . 已知直线
过点
,若点
和点
到直线
的距离相等,则直线
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f5c484e833ebde134679f624ff23b1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e65611df39794fec95423cc1289d91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f4b4c738a9fb17d16e35a9132cb5c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
9 . 三角形三个顶点是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55472b3a76c5b43ee25826473a809d50.png)
(1)求AB边上的高所在直线的方程;
(2)直线l过点A,且B,C两点到直线l的距离相等,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55472b3a76c5b43ee25826473a809d50.png)
(1)求AB边上的高所在直线的方程;
(2)直线l过点A,且B,C两点到直线l的距离相等,求直线l的方程.
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解题方法
10 . 已知的三个顶点是
,
,
.
(1)求
上的高所在直线
的方程;
(2)若直线
过点
,且点
到直线
的距离相等,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d4ad2f121598b00fdc0c7df7624f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/273bbd1b55b9adc4743562cd8155cf70.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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