1 . 已知直线
:
,点
关于
的对称点为
,过点A作斜率大于
的直线
,交直线
于点
,若_____.①
;②点
在直线
上;③
.
(1)求点
的坐标;
(2)从条件①,②,③中任选一个填入题中横线处,并求
的一般方程.
参考数据:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad0374e9dbe5da463291fde7e3ca7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
注:若选择多个条件分别作答,则按第一个解答记分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf1e0d6386d285c9e72d4c826e8dd47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e66f7e08f1aa26f7a4fd7d66abb0617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.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/3c4cd2370ee4086a8d8e8e16e069d3f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb24ad1090dc7ac8fcd2039a45ef1f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25cd09d626a1cca8be0397a53b7de832.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)从条件①,②,③中任选一个填入题中横线处,并求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad0374e9dbe5da463291fde7e3ca7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
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2 . 下列说法正确的是( )
A.已知![]() ![]() ![]() ![]() |
B.P、A、B、C是空间中四点,若![]() |
C.过![]() ![]() ![]() |
D.“![]() ![]() ![]() |
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3 . 下列关于直线方程的说法正确的是( )
A.直线![]() ![]() |
B.直线![]() ![]() ![]() |
C.过点![]() ![]() ![]() |
D.经过![]() ![]() |
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解题方法
4 . 已知
中,
,
,
.求:
(1)
边的中线所在直线的一般式方程,并化为截距式方程.
(2)
中平行于
边的中位线所在直线的一般式方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d8016002067726f1c74bcd923068b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/819f9d5a02e63b7b5d4616f3c701b068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49dd31773f55719ebd91ed3389d0de68.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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5 . 规定:在桌面上,用母球击打目标球,使目标球运动,球的位置是指球心的位置,球
是指该球的球心点为
,母球的球心沿直线运动.两球碰撞后,目标球在两球的球心所确定的直线上运动,目标球的运动方向是指目标球被母球击打时,母球球心所指向目标球球心的方向.所有的球都简化为平面上半径为
的圆,且母球与目标球有公共点时,目标球就开始运动,在桌面上建立平面直角坐标系,解决下列问题:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/896163f5-9dd2-496d-accb-7cd63e9a3922.png?resizew=402)
(1)如图1,设母球
的位置为
,目标球
的位置为
,要使目标球
向
处运动,求母球
的球心运动的直线方程;
(2)如图2,若母球
的位置为
,目标球
的位置为
,让母球
击打目标球
后,能否使目标球
向
处运动?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c2bb7be2e9410a16502268fd4c67be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/896163f5-9dd2-496d-accb-7cd63e9a3922.png?resizew=402)
(1)如图1,设母球
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c2bb7be2e9410a16502268fd4c67be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2c84e7b41a841a230ed5f8a42309aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1e8babee63bfc889ae5a34632284bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed24bfcc37b79fe9ca61ed8fdf26ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1e8babee63bfc889ae5a34632284bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907f392f48c5c9cd0b7366b82231e3df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c2bb7be2e9410a16502268fd4c67be.png)
(2)如图2,若母球
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c2bb7be2e9410a16502268fd4c67be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1803dc3c76fd2b51696647aa18602412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1e8babee63bfc889ae5a34632284bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed24bfcc37b79fe9ca61ed8fdf26ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c2bb7be2e9410a16502268fd4c67be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1e8babee63bfc889ae5a34632284bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1e8babee63bfc889ae5a34632284bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907f392f48c5c9cd0b7366b82231e3df.png)
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3卷引用:江苏省盐城中学2022-2023学年高二上学期期中数学试题
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6 . 下列说法不正确的是( )
A.直线![]() ![]() |
B.过![]() ![]() ![]() |
C.经过点![]() ![]() ![]() ![]() |
D.直线![]() ![]() |
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7 . 已知直线
经过点
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f096318086c56c377b18fa04a507f62.png)
(1)求直线
的方程;
(2)若直线
:
与
互相垂直,求直线
与两坐标轴围成三角形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa71aa2ea224669698850108751a71a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f096318086c56c377b18fa04a507f62.png)
(1)求直线
![](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/8ee7ff9af96cce3da4a33624ddaafda8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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2卷引用:天津市实验中学滨海学校2022-2023学年高二上学期期中数学试题
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8 . 已知两点
,
及圆
:
,
为经过点
的一条动直线.
(1)若直线
与圆
相切,求切线方程;
(2)若直线
与圆
相交于两点
,从下列条件中选择一个作为已知条件,求
的面积.
条件①:直线
平分圆
;条件②:直线
的斜率为-3.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5e0005baadf4e655c1b377487c8af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7908e8e2ca67ad0f739860222423950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6807788ac9ddb1a54ebb7786f917934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/ab2a2834d80ff574e79eae8ca8d4e94f.png)
条件①: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/0f85fca60a11e1af2bf50138d0e3fe62.png)
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9 . 下列说法正确的是( )
A.点![]() ![]() ![]() |
B.过不同两点![]() ![]() |
C.线段![]() ![]() ![]() ![]() ![]() |
D.经过点![]() ![]() ![]() ![]() |
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2卷引用:辽宁省大连市第八中学2022-2023学年高二上学期期中考试数学试题
解题方法
10 . 下列说法正确的是( )
A.直线![]() |
B.过![]() ![]() |
C.点![]() ![]() ![]() |
D.经过点![]() ![]() ![]() ![]() |
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