在学校科技节活动中,聪聪用四根长度相同的木条制作了能够活动的菱形学具.他先活动学具成为图1所示菱形,并测得
,接着活动学具成为图2所示正方形,并测得对角线
,则图1中对角线
的长为()
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ba2098ed6b4137b08932524b72ba37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75ec1c73794dca0a18c1ec510398ccff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2024-05-03 23:07:45
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【推荐1】如图,已知
是等边三角形.点
、
分别在边
、
上,且
.连结
并延长至点
,使
.连接
、
.连接
并延长交
于点
.下列结论:①
;②
;③
;④
.其中正确的个数是( )个.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/f9908e55-2e32-4acb-ab8d-a4663eaed0d8.png?resizew=168)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/f9908e55-2e32-4acb-ab8d-a4663eaed0d8.png?resizew=168)
A.4 | B.3 | C.2 | D.1 |
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【推荐2】如图,点
和点
在数轴上对应的数分别是4和2,分别以点
和点
为圆心,线段
的长度为半径画弧,在数轴的上方交于点
.再以原点
为圆心,
为半径画弧,与数轴的正半轴交于点
,则点
对应的数为( )
![](https://img.xkw.com/dksih/QBM/2020/9/10/2546736042942464/2548052943093760/STEM/14c6fa7445524985b91e9b6b1648def3.png?resizew=220)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/2020/9/10/2546736042942464/2548052943093760/STEM/14c6fa7445524985b91e9b6b1648def3.png?resizew=220)
A.3.5 | B.![]() | C.![]() | D.![]() |
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【推荐1】野外生存训练中,第一小组从营地出发向北偏东60°方向前进了3 km,第二小组向南偏东30°方向前进了3 km,第一小组准备向第二小组靠拢,则行走方向和距离分别为( ).
A.南偏西15°,![]() | B.北偏东15°,![]() |
C.南偏西15°,3 km | D.南偏西45°,![]() |
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【推荐2】如图,在矩形
中,
平分
交
于点
,
,则矩形的周长为( )
![](https://img.xkw.com/dksih/QBM/2020/10/8/2566480460996608/2566651721547776/STEM/49452bbe-645e-4576-b465-362926b10595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/742679eccc284ddd88d4c2ac403998a9.png)
![](https://img.xkw.com/dksih/QBM/2020/10/8/2566480460996608/2566651721547776/STEM/49452bbe-645e-4576-b465-362926b10595.png)
A.18 | B.20 | C.21 | D.22 |
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【推荐1】如图,已知菱形
的顶点
,
,
,若菱形绕点
顺时针旋转
得到菱形
,则点
的坐标是( )
![](https://img.xkw.com/dksih/QBM/2021/11/17/2853223357980672/2859507314900992/STEM/0f890b60-2379-4028-8dab-7261116947a7.png?resizew=294)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1a9821a00b71f6b7d7a76d91b3f810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/993769b494e12c21dff0ee7c53a4a49f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32436704a722d5e568ff5c175bf3c662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f35d4ede5b91b03d09a99262de2693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://img.xkw.com/dksih/QBM/2021/11/17/2853223357980672/2859507314900992/STEM/0f890b60-2379-4028-8dab-7261116947a7.png?resizew=294)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
【推荐2】如图,菱形
的对边
、
上分别有两个动点M和N,若
的最大值为
,最小值为4,则菱形
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92cb9a526f2b146415a98051b4e58b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
A.18 | B.28 | C.![]() | D.![]() |
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【推荐1】如图,在正方形ABCD中,点O为对角线的交点,点P为正方形外一点,且满足∠BPC=90°,连接PO.若PO=4,则四边形OBPC的面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/13/81758321-d3f3-41cc-904e-ff5b6e830031.png?resizew=187)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/13/81758321-d3f3-41cc-904e-ff5b6e830031.png?resizew=187)
A.6 | B.8 | C.10 | D.16 |
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【推荐2】如图,四边形
和
均为正方形,点
在对角线
上,点
在边
上,连结
和
.若知道正方形
和
的面积,则一定能求出( )
![](https://img.xkw.com/dksih/QBM/2021/5/14/2720973125050368/2722504076279808/STEM/448b92c9-1923-4f36-a328-95114b15f43a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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![](https://img.xkw.com/dksih/QBM/2021/5/14/2720973125050368/2722504076279808/STEM/448b92c9-1923-4f36-a328-95114b15f43a.png)
A.四边形![]() | B.四边形![]() |
C.四边形![]() | D.四边形![]() |
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