已知
为正方形的中心,且这个正方形的一边所在的直线方程为
,求这个正方形其他三条边所在的直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab6c993c5cc928d504b2b51b289db10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11300a998c91c94413daf36b5ce3d54a.png)
21-22高二·全国·课后作业 查看更多[2]
更新时间:2022-03-01 10:19:49
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【推荐1】已知直线
,
.
(1)若
,求
;
(2)若
,求
,并求此时两条直线间的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7864b04901d00e8bafbf6d07f930df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c918a1a5af00126d885a780236dc931.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdb9d8425d73a68731f30e0c0e22260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】已知两直线l1:x+8y+7=0和l2:2x+y–1=0.
(1)求l1与l2交点坐标;
(2)求过l1与l2交点且与直线x+y+1=0平行的直线方程.
(1)求l1与l2交点坐标;
(2)求过l1与l2交点且与直线x+y+1=0平行的直线方程.
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解题方法
【推荐1】已知直线
,求:
(1)过点
且与直线l平行的直线的方程;
(2)过点
且与直线l垂直的直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c52783140b4736ffc1f0810af721207e.png)
(1)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
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【推荐2】已知直线
:
与直线
:
,
.
(1)若
,求m的值;
(2)若点
在直线
上,直线l过点P,且在两坐标轴上的截距之和为0,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce619c464f2aa04178ea0111ba60544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252b2a1ad0a57394a9415551e8aedfad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784dc0e77ddd7711f5ff5e65a6d29daa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6a5b26336eff06ce06c4e44a376687.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8317919757eee6f74086ea9015bc37.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd93525b6822e4bad5ab0e72c5e5c0b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d9ccc4246c82939d8a659db9f28a87.png)
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【推荐1】已知正方形的中心为
,一边所在直线的方程为
,求其他三边所在直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746f6628d93f2d31cd84d722a0d74fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ae15e69f5a7b8354a8ed0872307aba.png)
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【推荐2】已知直线
的参数方程为
(
为参数),以坐标原点为极点,
轴正半轴极轴,建立极坐标系,曲线
的极坐标方程是
.
(1)写出直线
的极坐标方程与曲线
的直角坐标方程;
(2)若点
是曲线
上的动点,求
到直线
距离的最小值,并求出此时
点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a042141d99d8c8d913f06facb89e06b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/410f5be31aeb0b1c0253bab4041df393.png)
(1)写出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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【推荐1】已知直线
的方程为
.
(1)求过点
,且与直线
垂直的直线
方程;
(2)求与直线
平行,且到点
的距离为
的直线
的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04eed461026f69fe9ab2c5dc12af8ac7.png)
(1)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643b31966f52a03f001f2e613cd701dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)求与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521d2cbdff8483ebba708857163ef1d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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解题方法
【推荐2】已知直线
:
;
:
.
(1)若
,求
的值;
(2)若
,且它们的距离为
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb343cfed5f78a4a24f750415abef43e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f7fb76dc037f58958bc1de230be87b1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095c036b49c3327baaa2c3c7f746134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1984190f141622d6e0cdf5da66ac670e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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