已知:四边形
中,
为对角线,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad72dbe08aefee308032f40f422efb0.png)
.
(1)如图,求证:四边形
是矩形.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/301ec75f-ba93-47e6-bb2a-55536889349b.png?resizew=150)
(2)如图,将
沿着对角线
翻折得到
,
交
于点
,请直接写出图中所有的全等三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0957b7500fe5e9a4dcea9a0e61c41e53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f716c6fc2918a0b2a75c32792100b7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad72dbe08aefee308032f40f422efb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c06422e1d55db3077257af113df4bb.png)
(1)如图,求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/301ec75f-ba93-47e6-bb2a-55536889349b.png?resizew=150)
(2)如图,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80651f797ab9dccfd7163c605b091ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/6a616923-e1b8-4f83-bd63-1fae8adef226.png?resizew=150)
更新时间:2021-04-12 09:08:55
|
相似题推荐
解答题-问答题
|
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(0.85)
【推荐1】如图,
是线段
的垂直平分线,则
.请说明理由:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/4acab83a-2e09-455d-84da-8defaa0aa165.png?resizew=177)
解:∵
是线段
的垂直平分线,
∴
= , =
.
在
和
中,
=
,
= ,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e4731ff559f9145f8aa3ad2be39f04.png)
∴ ≌ ( ).
∴
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5b1a76785108fda76679b3ddb38f44.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/4acab83a-2e09-455d-84da-8defaa0aa165.png?resizew=177)
解:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bbbab442fb957120e18d87c29245bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a76cc907488f1aa9fcccf2c767c3ac99.png)
=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2022/10/2/3079017529466880/3095356445417472/STEM/4356d6594afa403f94419004f8ac0e7d.png?resizew=24)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e4731ff559f9145f8aa3ad2be39f04.png)
∴ ≌ ( ).
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5b1a76785108fda76679b3ddb38f44.png)
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解答题-证明题
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真题
【推荐2】如图,
、
、
、
是直线
上的四点,
.
;
(2)点
、
分别是
、
的内心.
①用直尺和圆规作出点
(保留作图痕迹,不要求写作法);
②连接
,则
与
的关系是________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a10e3e8a3166a29402ac0f3227704c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac61f3477e623aa4f924a82bd7a06ce4.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
①用直尺和圆规作出点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
②连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
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解答题-计算题
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【推荐2】(1)计算:
;
(2)如图,点B、D在线段AE上,AD=BE,AC∥EF,∠C=∠F,求证:BC=DF.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d2a1536036ce689b71c5e41188628e2.png)
(2)如图,点B、D在线段AE上,AD=BE,AC∥EF,∠C=∠F,求证:BC=DF.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/24/7ad67275-aeca-43a5-b555-5011f051f02d.png?resizew=192)
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解答题-证明题
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【推荐2】如图,在
中,
,线段
两点分别在
和过点
且垂直于
的射线
上运动,当
的长为何值时,
与
全等?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab8ad51664464d08a5baa445bf583a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084438728a9dfccab2508cce97bbb99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9c5ae63072e1684cf1c242c8133d8a.png)
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名校
【推荐1】如图,在
中,
,垂足为E,点F在
上,且
.求证:四边形
是矩形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607cfabc1d421835b6b64109ad18f571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3c15b30bd155641e548a7d8c172dd4.png)
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解答题-证明题
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【推荐2】如图,
中,对角线
、
交于点
,在
上截取
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/30/0311beda-09d0-43f7-9c81-26a1147bb5f7.png?resizew=169)
(1)求证:四边形
是矩形;
(2)若
,求证:
平分
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140839de57934a92dbba2a4726eed5b6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/30/0311beda-09d0-43f7-9c81-26a1147bb5f7.png?resizew=169)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910936ec9fb419d51ce2f5ea817f8401.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d38d97f03faed3152db2fd3bd1919944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
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