在数学课上,老师布置了一项作图任务,如下:已知:如图1,在
中,
,请在图中的
内(含边),画出使
的一个点
(保留作图痕迹),小红经过思考后,利用如下的步骤找到了点
:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/9/0f3abad8-d420-4fbe-a263-0e2394ba7959.png?resizew=558)
①以
为直径,作
,如图2;
②过点
作
的垂线,交
于点
;
③以点
为圆心,
为半径作
,分别交
、
边于
、
,在劣弧上任取
一点
即为所求点,如图3.
问题:
(1)在②的操作中,可以得到
______°(依据:______)
(2)在③的操作中,可以得到
______°(依据:______)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d384390f4e0a1e0abd4cc19382d94db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6901e8b018a80e917540462d2f3aadd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/9/0f3abad8-d420-4fbe-a263-0e2394ba7959.png?resizew=558)
①以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
②过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
③以点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c023f4b501684abd869b36d6e6c7f21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c22f4b5c09a56bd63d8378365fbdbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6717ff1a7f3343ec9fab936ce23e933c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
问题:
(1)在②的操作中,可以得到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1999de117c0f4ceeaf75c17459f99135.png)
(2)在③的操作中,可以得到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a84b7de4bcbaa36f542b7ac3886bba.png)
更新时间:2021-01-18 21:26:39
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【推荐2】如图,在正方形ABCD中,AB=12.以点B为圆心,BA长为半径在正方形内部作
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【推荐1】如图所示,点A、B、C在圆上,若∠BAC=45°,OB=6,则图中阴影部分的面积为_____ .
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