1 . 下列说法中正确的有( )
①若两条不同直线的斜率相等,则两直线平行;
②若
,则
;
③所有的直线都有倾斜角;
④若两条直线的垂直,则它们的斜率之积为-1.
①若两条不同直线的斜率相等,则两直线平行;
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdb9d8425d73a68731f30e0c0e22260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c53ea3373af8c2c835a1bfbe2c742d8a.png)
③所有的直线都有倾斜角;
④若两条直线的垂直,则它们的斜率之积为-1.
A.1个 | B.2个 | C.3个 | D.4个 |
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解题方法
2 . 已知
满足
,且两条直线方程分别为
,
,试判断两条直线位置关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df9c22915c45b2cbceeae79470c1c00f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65645ceb248561c8cde5ce40671859d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7eff3172ea5cfefceb1aab3dabc1b0.png)
A.平行 | B.重合 | C.垂直 | D.相交且不垂直 |
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4卷引用:湖南省衡阳市衡阳县第二中学2023-2024学年高二上学期期中数学试题
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3 . 已知三角形中三边长为
,
,
,若
,
,
成等差数列,则直线
与直线
的位置关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24106d94bf13cac0501cdb695b9972c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/489ac3f68848980d53033dbd65a0a622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ba73c0fc1d96654151175cc84b792c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db6cdba50b795d84a5b780b2e9605c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8147ff87bee23168ffd338f325cd115b.png)
A.平行 | B.相交但不垂直 | C.垂直 | D.重合 |
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4 . 已知
是圆
内一点,现有以
为中点的弦所在直线
和直线
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af413350a2baaa9b9cab7e2d85110d65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd432589cb00c29cac1806288e99ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2d2b8264659efa15f3a50a8f811881d.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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