名校
解题方法
1 . 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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2 . 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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3 . 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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|
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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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4 . 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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3卷引用:新疆维吾尔自治区喀什第二中学2022-2023学年高二上学期期中考试数学试题
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5 . 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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6 . 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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7 . 在平面直角坐标系中,已知射线
:
,射线
:
(
),过点
作直线分别交射线
、
于
、
点.
(1)当
的中点为
时,求直线
的方程;
(2)当线段
的中点在直线
上时,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f75508b798b0e011e91b8d427a102ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e679ffb899a9c24fc282ab298f471259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f449cadb49859b80c31ef1f68bfe81b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)当线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d532ce76942846df88c6f66112e50f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解题方法
8 . 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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解题方法
9 . 下列说法正确的是( )
A.直线![]() |
B.过![]() ![]() |
C.点![]() ![]() ![]() |
D.经过点![]() ![]() ![]() ![]() |
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10 . 下列说法正确的是( )
A.任意一条直线都有倾斜角,但不一定有斜率 |
B.直线的倾斜角越大,它的斜率就越大 |
C.直线![]() |
D.经过点![]() ![]() ![]() ![]() |
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