如图,在
中,
,
,
,P为边
上一动点,
于点E,
于点F,点M为
中点,则
最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f7d82337f8f0b3a56f66391441721e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc56fdf70e65bd88980c64af96b83da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edadd9995393ece0d7b7bf4801504bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
A.2.4 | B.2.5 | C.4.8 | D.5 |
23-24九年级上·山西晋中·期末 查看更多[4]
山西省晋中市太谷区2023-2024学年九年级上学期期末数学试题广东省广州市越秀区广东实验中学2023-2024学年八年级下学期期中数学试题天津市南开翔宇中学2023-2024学年八年级下学期期中数学试题(已下线)专题06 特殊平行四边形中折叠、旋转、最值、新定义问题期末真题汇编【四大题型+优选提升题】(原卷版)
更新时间:2024-01-12 20:04:43
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【推荐1】如图,边长为12的等边三角形ABC中,M是高CH所在直线上的一个动点,连结MB,将线段BM绕点B逆时针旋转60°得到BN,连结HN.则在点M运动过程中,线段HN长度的最小值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/c59e5128-d867-4ac2-9dce-3e753173fd60.png?resizew=136)
A.6 | B.3 | C.2 | D.1.5 |
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【推荐2】如图,在Rt△ABC中,∠B=90°,AB=3,BC=4,点D在BC上,以AC为对角线的所有▱ADCE中,DE最小的值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/1/077f96d1-7672-4d05-bd48-e6f1f1a4dfb0.png?resizew=118)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/1/077f96d1-7672-4d05-bd48-e6f1f1a4dfb0.png?resizew=118)
A.2 | B.3 | C.4 | D.5 |
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【推荐1】如图,
为等边三角形
内的一点,且
到三个顶点
、
、
的距离分别为3、4、5,则
的面积为( )
![](https://img.xkw.com/dksih/QBM/2020/4/29/2452024826044416/2453888041123840/STEM/57bd7662543e40d8a60432c30d246718.png?resizew=126)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://img.xkw.com/dksih/QBM/2020/4/29/2452024826044416/2453888041123840/STEM/57bd7662543e40d8a60432c30d246718.png?resizew=126)
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【推荐2】如图,O是正△ABC内一点,OA=3,OB=4,OC=5,将线段BO以点B为旋转中心逆时针旋转60°得到线段BO',下列结论;①△AOO'是直角三角形;②点O与O'的距离为4;③以∠AOB=150°;④S四边形AOBO′=6+3
;⑤S△AOC+S△AOB=6+
.其中正确的结论是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7cb903441d8e6b4448c3d5d7959d9d7.png)
A..①②③⑤ | B.①②③④ | C..①②③④⑤ | D..①②③ |
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【推荐1】如图,在
中,
,
于
,
平分
,且
于
,与
相交于点
,
是
边的中点,连接
,
与相交于点
,以下结论中正确的结论有( )
(
)
是等腰三角形;
(
)
;
(
)
;
(
)
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/11/f0c88fc8-f6b5-45a9-bc9f-f0a280fb416f.png?resizew=182)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d320f180419175d75eebc618cc458b39.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e4fa04825ac7d071968056322d88be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe8bb808edb7f81fb3c14c8f3d7f0fad.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606dd1c77fd0fcc00d2b134a5fe3dbd6.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9096ce0557e624c2ffa32cd33b3551a5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/11/f0c88fc8-f6b5-45a9-bc9f-f0a280fb416f.png?resizew=182)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】如图,
中,
于点
是半径为4的
上一动点,连接
,若
是
的中点,连接
,则
长的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bac008e09ca9a5b444cb5a72f1ae4c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6561b46c16c6d7f7452fdbb70f7ca0d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c20d0b44025a639ce3a92d639dae587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/8e650a6b-d5e5-499d-9e48-b8b76109b3fa.png?resizew=116)
A.8 | B.![]() | C.9 | D.![]() |
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【推荐1】如图,
为等腰直角三角形,
平分
,交
于点
,
交
的延长线于点
,交
的延长线于点
于点
;下列结论:①
; ②
; ③
. 其中正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/ec8d6c01-877b-4962-9937-a45b6b52096f.png?resizew=181)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5232ca3c1e0ce4064d0094502aacb063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eea97c4a5b78932a4e16b3d3d125531.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/ec8d6c01-877b-4962-9937-a45b6b52096f.png?resizew=181)
A.①②③ | B.①② | C.①③ | D.②③ |
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【推荐2】如图,四边形
为矩形,对角线
与
相交于点O,点E在边
上,连接
,过D做
,重足为F,连接
,若
,
,则
的最小值为( ).
![](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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8689d619c2508c9000531fc1b8f1f21c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf14bc3bfe884ddfff067ba7f410b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82773737609e65dea3c5c67099f1b10d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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