23-24高二上·全国·课后作业
解题方法
1 . 已知
的顶点
,
,
.
(1)若
是以点
为直角顶点的直角三角形,求实数
的值.
(2)若
是以点
为锐角顶点的直角三角形,求实数
的值.
(3)若
为直角三角形,如何求解
的值?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e200168f7cf2d50036d9553e3136cebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d3bfa155ad67018da4d65815c5e5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9316f8a58f503d0ea3879b8be30eaae.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
2 . 为了保护河上古桥
,规划建一座新桥
,同时建立一个圆形保护区.规划要求:新桥
与河岸
垂直,保护区的边界为圆心
在线段
上,并与
相切的圆,且古桥两端
和
到该圆上任意一点的距离均不小于
.经测量点
位于点
正北方向
处,点
位于
正东方向
处(
为河岸),
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/19/2279e0da-3dfa-44ab-b8fe-30d4d967be3b.png?resizew=177)
(1)求新桥
的长;
(2)当
多长时,圆形保护区面积最大.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef9bd9f3d93bc6ef900f95b3bf4a8f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c758c27bec97c234d1d818c40f3d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b152350f99f27608bb82ba8931cb07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6df0766fe60149908607945a5bfbe4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/19/2279e0da-3dfa-44ab-b8fe-30d4d967be3b.png?resizew=177)
(1)求新桥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
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3 . 已知
,则A,B,C共线吗?A,B,D呢?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8650c8b0744b1b7494ee8ea9613eced0.png)
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23-24高二上·全国·课后作业
4 . 已知过点
的直线
与以点
和
为端点的线段
相交,求直线
的斜率的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1803dc3c76fd2b51696647aa18602412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50edfb9ed0d50d6f35ad6a130208d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/592a85017ea7dbcc771a1856d5724bdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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23-24高二上·上海·课后作业
解题方法
5 . 已知
、
、
三点在直线
上,求
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7078a4e8e927c163c7f98e66759c9834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed776a49a030ffe57d9571edbd15b4bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1638f9062220d4cb2b29ec3c135f10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
23-24高二上·上海·课后作业
解题方法
6 . 已知
、
、
三点在直线
上.
(1)求实数
的值;
(2)求
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de180fcb5d18115f1254369ad9b44b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5781110f5bc67ac981b89f5cbe9b07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e834fe3857279d0fa1212f7315037f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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7 . 在平面直角坐标系中有一个边长为1的正方形
,其中点
为坐标原点,点
、
分别在
轴和
轴上,点
在第一象限.求直线
和
的斜率,并讨论这两个斜率之间的关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
8 . 已知
、
、
三点构成一个三角形,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65870361527e54ad78ba737ace3614ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d4219870c506d0e00064f42f2aef9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b0e93fefa6512e8d872d61b8b6be9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
9 . 已知三个不同的点
、
、
在同一条直线上,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82388095a4e6d9decccae2b24fe28138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c82f7dd760bd79882f2a1801c642adb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43a4643cde614978f0a4133945d52a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 已知动点M与两定点
,
构成
,且直线
,
的斜率之积为4,求动点M的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a18a7caa080988802ba1145b4fe4203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ef03f452410ab19c6246567c427178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
您最近一年使用:0次
2023-09-11更新
|
634次组卷
|
8卷引用:3.4 曲线与方程
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