如图,将一副三角尺中,含
角的三角尺(
)的长直角边与含
角的三角尺(
)的斜边重合,
,
分别是边
,
上的两点,
与
交于
,且四边形
是面积为
的平行四边形,则线段
的长为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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更新时间:2024-06-02 23:32:11
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【推荐1】在数学活动课上,老师让同学们以“两块直角三角板(一块含
角,一块含
角)的摆放”为背景开展数学探究活动.某同学将两块三角板按如图所示放置,则下列结论正确的有______ (直接写序号即可).
①
;②若
,则
;③若
,则
;④若
,则
.
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①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5cc2450dc300ce26b513c2abae28cab.png)
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【推荐2】如图,将一副直角三角板叠在一起,使直角顶点重合于点O,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45739116f428f7c6c5964de72a1fa101.png)
___________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e515787ebe97ed2662237d9ca51ea1.png)
___________ .
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【推荐1】等腰三角形的顶角是底角的4倍,如果腰长为10cm,那么底边上的高为________ .
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【推荐2】如图,在△ABC中,∠C=90°,∠CAB=60°,按以下步骤作图:
①分别以A,B为圆心,以大于AB的长为半径作弧,两弧相交于点P和Q.
②作直线PQ交AB于 D,交BC于点E,连接AE.若CE=4,则AE=_________ .
①分别以A,B为圆心,以大于AB的长为半径作弧,两弧相交于点P和Q.
②作直线PQ交AB于 D,交BC于点E,连接AE.若CE=4,则AE=
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/4/eba3fae9-77cb-48ab-b998-0063151f660d.png?resizew=149)
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【推荐1】如图
是
的弦,
交
于点
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的切线交
的延长线于点
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的半径为
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的长为__________ .
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【推荐2】如图,点C为线段AB的中点,E为直线AB上方的一动点,且满足CE=CB,连接AE,以A为直角顶点,AE为腰,在直线AB上方作等腰直角三角形ADE,连接CD,当CD最大时,下列结论:①D、A、C、E四点共圆;②3∠AEC=∠DEA;③DC平分∠ADE;④2AD2=DC2+AC2,其中正确的是____ .
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