如图,在平行四边形
中,
,垂足分别为
、
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/4/ac8716ec-c31c-40c3-97d0-1f0695bbb139.png?resizew=196)
(1)求证:四边形
是平行四边形;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aaa063d2e7c4585a021929c6fa8505a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/4/ac8716ec-c31c-40c3-97d0-1f0695bbb139.png?resizew=196)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2330c01a4d2b5b20f106e3e48834d5c0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8979512c41efe7081e731000daf28b40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13011f6cec9754fa684ecac3153c0856.png)
更新时间:2023-09-02 22:45:52
|
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【推荐1】长方形纸片中,
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解答题-问答题
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【推荐1】类比、转化、从特殊到一般等思想方法,在数学学习和研究中经常用到,如下是一个案例,请补充完整.
原题:如图
,在平行四边形
中,点
是
的中点,点
是线段
上一点,
的延长线交射线
于点
.若
,求
的值.
(1)尝试探究
在图
中,过点
作
交
于点
,则
______,
______.
(2)类比延伸
如图
,在原题的条件下,若
,求
的值
用含有
的代数式表示
.试写出解答过程.
(3)拓展迁移
如图
,在四边形
中,
,点
是
的延长线上的一点,
和
相交于点
若
,
,
,则
的值是______
用含
、
的代数式表示
.
原题:如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c022e2d7244ef61eb4673c8d4108d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f803c907aa8d31a9359f24405990fc92.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/8/14e7afad-9adf-4e7b-85b3-9082ab37ceca.png?resizew=421)
(1)尝试探究
在图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d6321e6de60f4e62964c83759def91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e17208df62de9833634fa97bae547ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/610e48df11f5f3697227ed771b12da11.png)
(2)类比延伸
如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0710741279bc12073a2b24d10091136d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f803c907aa8d31a9359f24405990fc92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(3)拓展迁移
如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fe2f6543e06a25493855fbbc648be6d.png)
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解答题-证明题
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【推荐2】(1)如图,在□ABCD中,对角线AC、BD相交于点O.请找出图中的一对全等三角形,并给予证明;
(2)规定:一条弧所对的圆心角的度数作为这条弧的度数.
①如图,在⊙O中,弦AC、BD相交于点P,已知弧AB、弧CD分别为65°和45°,求∠APB;
②一般地,在⊙O中,弦AC、BD相交于点P,若弧AB、弧CD分别为m°和n°,求∠APB.
(用m、n的代数式表示)
![](https://img.xkw.com/dksih/QBM/2018/1/8/1855948738215936/1856805551833088/STEM/852f6137afd6464084a053fb00926fc8.png?resizew=170)
(2)规定:一条弧所对的圆心角的度数作为这条弧的度数.
①如图,在⊙O中,弦AC、BD相交于点P,已知弧AB、弧CD分别为65°和45°,求∠APB;
②一般地,在⊙O中,弦AC、BD相交于点P,若弧AB、弧CD分别为m°和n°,求∠APB.
(用m、n的代数式表示)
![](https://img.xkw.com/dksih/QBM/2018/1/8/1855948738215936/1856805551833088/STEM/852f6137afd6464084a053fb00926fc8.png?resizew=170)
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解答题-证明题
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适中
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【推荐1】如图,在
中,
,D,E分别是AB,AC的中点,连接CD,过点E作EF∥CD,交BC的延长线于点F.
![](https://img.xkw.com/dksih/QBM/2022/5/31/2991109405704192/2992495892865024/STEM/3165881b-c0ff-4d1c-996d-8488b6902043.png?resizew=138)
(1)求证:四边形DCFE是平行四边形;
(2)若四边形DCFE的周长是18,AC的长为6,求线段AB、BC的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://img.xkw.com/dksih/QBM/2022/5/31/2991109405704192/2992495892865024/STEM/3165881b-c0ff-4d1c-996d-8488b6902043.png?resizew=138)
(1)求证:四边形DCFE是平行四边形;
(2)若四边形DCFE的周长是18,AC的长为6,求线段AB、BC的长.
您最近一年使用:0次
解答题-证明题
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适中
(0.65)
【推荐2】如图,在
中,
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您最近一年使用:0次