23-24高二下·上海·期末
解题方法
1 . 已知圆
的方程为
,点
,
是圆
内一点,设以
为中点的弦所在的直线为
,方程为
的直线为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3503d330608e7138d1b529aba4512fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a98de9c1dc89032bf179b4969a33bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8915a09a3370c14323e9a0164a5ee9cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() ![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() ![]() |
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2 . 已知直线l:
,点
、
,设
,
,下列条件中可以推出直线l与线段AB的延长线相交的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f6e1f67dc15c3cf135a78af95c70fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fea52382139e3bf9d91ea7ef28ea914a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32636ce17db5e0110a65d3cdcf9aa0f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知直线
,点
、
,设
,
,以下选项中命题都正确的为( )
(1)若
,则线段
的中点在直线
上
(2)若
,则直线
与直线
平行
(3)若
,则点
、
分布在直线
的两侧
(4)若
,则直线
与线段
的延长线相交
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29fa0e0526598c4140789f6328daac9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8198c3b302b3820e86763428eb1e91cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3463ced6030af957f13f9ba05b977c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af9c7138572896a62c1d1ae6646f92d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa6619a865a4666603bda1d1fc8accc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e1a418fe5bae31329e486ef3d1a26b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbf0539fad2893915a17b67233be8cdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b90106d3e686cadf37eebecf57dfaee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5fcfc55b56f04ac530871067e5ce71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/904de2dd00f6ee5c194731e6c251ef24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
A.(1)(2)(3) | B.(2)(3)(4) | C.(1)(3)(4) | D.(1)(2)(3)(4) |
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4 . 若
中,a,b,c分别为三内角A,B,C的对边,且
,则直线
与直线
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44607654896d47089f89f9502d478ded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a197f8bd9956530a0a59454f1a60343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f502e5f54e6d7192c9b07293c7117f92.png)
A.平行 | B.重合 | C.相交且垂直 | D.相交且不垂直 |
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2023-10-18更新
|
262次组卷
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3卷引用:上海市外国语大学附属外国语学校2023-2024学年高二上学期9月月考数学试题
上海市外国语大学附属外国语学校2023-2024学年高二上学期9月月考数学试题上海市黄浦区上海外国语大学附属大境中学2023-2024学年高二下学期3月月考数学试卷(已下线)专题01平面直角坐标系中的直线全章复习攻略--高二期末考点大串讲(沪教版2020选修)
2023高二·上海·专题练习
5 . 已知直线
和
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134e5ade4bfa771464630b5f6ba174a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13cdb91595a1b559a6f35a2862ef6286.png)
A.m和n可能重合 |
B.m和n不可能垂直 |
C.存在直线m上一点P,以P为中心旋转后与n重合 |
D.以上都不对 |
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6 . 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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2023-01-14更新
|
332次组卷
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3卷引用:上海市七宝中学2022-2023学年高二上学期期末数学试题
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解题方法
7 . 已知
,设直线
,其中
,给出下列结论:
①直线
的方向向量与向量
共线;
②若
,则直线
与直线
的夹角为
;
③直线
与直线
一定平行;
上述结论是真命题的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3341e25dda32b48c316cf719d150606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c38a6ef0cbe22933427678ff32ba0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0baedc4d7e690ab3f7d80d30ba0a9efe.png)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38422db79bd5c61fd0b4aaa6b7e67d9c.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5db64feb6bfa180fd4a1e3f346a105e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fb92809deced98a8bd767bcbc06e261.png)
③直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/523f77f5d94209b8bc67f2a3289f7d01.png)
上述结论是真命题的个数是( )
A.1个 | B.2个 | C.3个 | D.4个 |
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8 . 已知直线
的斜率是方程
的两个根,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b24f2a5cee0d7552bf1bf2963d2d4b.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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2022-12-03更新
|
373次组卷
|
5卷引用:上海市奉贤区致远高级中学2022-2023学年高二上学期12月月考数学试题
上海市奉贤区致远高级中学2022-2023学年高二上学期12月月考数学试题广东省“深惠湛东”四校2022-2023学年高二上学期联考数学试题(已下线)第13讲 两条直线平行和垂直的判定3种常见考法归类-【暑假自学课】2023年新高二数学暑假精品课(人教A版2019选择性必修第一册)(已下线)专题13 两条直线的位置关系6种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教B版2019选择性必修第一册)(已下线)专题03 两条直线的平行与垂直9种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(苏教版2019选择性必修第一册)
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9 . 设
,
为不同的两点,直线
,
,以下命题中正确的序号为( )
①存在实数
,使得点
在直线
上;
②若
,则过
、
的直线与直线
平行;
③若
,则直线
经过
的中点;
④若
,则点
、
在直线
的同侧且直线
与线段
的反向延长线相交.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba1e1ca5040060dde64c667ec432a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f05eb4c4c6f9e6a702735bc0b5122d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29fa0e0526598c4140789f6328daac9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d65c73b4d498cf772db92a43c4b6fff.png)
①存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700458c01a7ad031e27d80ed43e9e882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d75321d40daa4ae8c61a96c35b287e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2398b895f1afbf5b505d38d0e7ca6b99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8686d0f0975d2d4a713e531fd3d8ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
A.①②③ | B.②④ | C.③④ | D.②③④ |
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10 . 设直线
(
、
不同时为零),
(
、
不同时为零),则“
、
相交”是“
”的( )条件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9e52a1742790e60ff4fbca86c6390a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06dbf4fead19461a0a874a9c4ba33b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be72293692fa273a6e4b9a9d2c9ede8d.png)
A.充分不必要 | B.必要不充分 | C.充要 | D.既不充分也不必要 |
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2022-07-02更新
|
1025次组卷
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7卷引用:上海市建平中学2021-2022学年高一下学期期末数学试题
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