已知:如图,线段
,直线l.请完成下面的尺规作图,保留作图痕迹,不必写出作法;
(1)在图1中过点M作直线l的垂线
,垂足为H;
(2)在图2中求作点P,使得点P在直线l上,且
等腰三角形.(请作出所有满足条件的P点)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/3/0789a7a6-4f6b-4387-90fb-19acba952257.png?resizew=323)
(1)在图1中过点M作直线l的垂线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83042953e7f15e984b2da2ee9ca678d1.png)
(2)在图2中求作点P,使得点P在直线l上,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
更新时间:2023-12-10 08:28:38
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相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐2】如图,点
在线段
上,
,
,
,
交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/25/40a1436c-17d5-47a3-8def-7e620473081a.png?resizew=193)
(1)尺规作图:过点
作线段
的垂线交
于点
.
基本作图,保留作图痕迹,不写作法,不下结论)
(2)求证
.
证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef3222a962b0a3b9bb1f4574b41bd79.png)
在
和
中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f3b470a6f8631c3d6076a16ce3b133.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbd95e0d1e6df9b0305d432b891202a.png)
, ,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3004bedb8f13b0450b70b552888152cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c1822554e70f431c909ceab11a50c3.png)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef3222a962b0a3b9bb1f4574b41bd79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ad8724e1ce5c37b7134f34c054569e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1b0a6ae241cd8cf208e71fa807c16f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/25/40a1436c-17d5-47a3-8def-7e620473081a.png?resizew=193)
(1)尺规作图:过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
(2)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4184755fedbf1f52d502c954d3d19f23.png)
证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef3222a962b0a3b9bb1f4574b41bd79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a783e5ffcf7a4ea9e531ea76199487.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c17fe30d57340c823f3aaa8734fc38d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f3b470a6f8631c3d6076a16ce3b133.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbd95e0d1e6df9b0305d432b891202a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c77ae16a5391644ed0e690f61814d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4f113d067e83501aa20c4e893d0040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3004bedb8f13b0450b70b552888152cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c1822554e70f431c909ceab11a50c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0db7b0229d9df87bc330413335fdc356.png)
您最近一年使用:0次
解答题-作图题
|
适中
(0.65)
【推荐1】如图,在锐角三角形
中,D为边
上一点,请用尺规作图法,在边
上求作一点F,使得
.(保留作图痕迹,不写作法)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a6c655586a5e0c5fdfd29fa315c631.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】已知
和线段
(如图),用直尺和圆规作等腰三角形
,使顶角
,角平分线
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780d8fd6c6c1deeeb45e15f639719e02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133c7caf0d2f777176a4640838c1a4bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5228da61bed106b28849ef91a2ec116.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/590e13f1-a3bd-4d24-828a-e2c0975aec93.png?resizew=109)
您最近一年使用:0次