如图,在△ABC中,∠C=90°,∠B=30°,以A为圆心,任意长为半径画弧分别交AB、AC于点M和N,再分别以M、N为圆心,大于MN的长为半径画弧,两弧交于点P,连结AP并延长交BC于点D,则下列说法①AD是∠BAC的平分线;②∠ADC=60°③点D在AB的中垂线上;正确的个数是___ 个.
![](https://img.xkw.com/dksih/QBM/2015/8/13/1573896334794752/1573896341020672/STEM/97ddb2ac-e052-423b-8c24-6a4682013731.png?resizew=152)
更新时间:2016-12-06 02:03:12
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【推荐1】如图,Rt△ABC中,∠C=90°,以点B为圆心,适当长为半径画弧,与∠ABC的两边相交于点E,F,分别以点E和点F为圆心,大于
EF的长为半径画弧,两弧相交于点M,作射线BM,交AC于点D.若AD=10cm,∠ABC=2∠A,则CD的长为__________ cm.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/2020/1/15/2377486645239808/2377772709617664/STEM/1fabcba6b2c647cd978ae6b2a84047f1.png?resizew=198)
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【推荐2】如图,在
中,按以下步骤作图:
①以
为圆心,任意长为半径作弧,分别交
,
于点
,
;
②分别以
,
为圆心,以大于
的长为半径作弧,两弧相交于点
;
③作射线
,交边
于点
.若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/5/da97e88a-995f-44d0-8d65-c072aba89345.png?resizew=169)
①以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
②分别以
![](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/c94e1ca12da27075e5241b7c7ce74672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
③作射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afac48351ff65d692c32261fd9a3d933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
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【推荐1】如图,在
中,
,
,以点A为圆心,以AB的长为半径作弧交AC于点D,连接BD,再分别以点B、D为圆心,大于
的长为半径作弧,两弧交于点P,作射线AP交BC于点E,连接DE,则下列结论中:①BE=DE ②DE垂直平分线段AC ③
④
,正确的是______ .(填序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
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【推荐2】在平面直角坐标系
中,已知
,在
轴上确定点
,使
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