如图以直角三角形ABC的斜边BC为边在三角形ABC的同侧作正方形BCEF.设正方形的中心为O,连接AO,如果
,
,则AC的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/30/5b9a1478-e4c2-4fb1-acd5-c715e57be921.png?resizew=119)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e13d34d32fe892f4306dd62074a9bf3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/30/5b9a1478-e4c2-4fb1-acd5-c715e57be921.png?resizew=119)
A.13 | B.14 | C.15 | D.16 |
更新时间:2022-06-29 09:21:24
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【推荐1】如图,在△ABC中,∠A=90°,BE,CD分别平分∠ABC和∠ACB,且相交于F,
,
于点G,则下列结论 ①∠CEG = 2∠DCA;②CA平分∠BCG;③∠ADC =∠GCD;④∠DFB=
∠A;⑤∠DFE=135°,其中正确的结论是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/5/d0c87e39-6eb1-4385-bc9b-0370fb0b9845.png?resizew=201)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc087498b26dd984e36f16cfe3eb4bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e19e12973f08c220691c8f552b7bbdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/5/d0c87e39-6eb1-4385-bc9b-0370fb0b9845.png?resizew=201)
A.①②③ | B.①③④ | C.①③④⑤ | D.①②③④ |
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【推荐2】将一副三角板中的两块直角三角尺的直角顶点C按如图方式叠放在一起(其中,∠A=60°,∠D=30°;∠E=∠B=45°)将三角尺ACD固定,三角尺BCE的CE边与CA边重合,绕点C顺时针方向旋转,当0°<∠ACE<180°且点E在直线AC的上方时,下列结论中:①若∠DCE=35°,∠ACB=145°;②∠ACB+∠DCE=180°;③当三角尺BCE的边与AD平行时∠ACE=30°或120°;④当三角尺BCE的边与AD垂直时∠ACE=30°或75°或120°,正确个数有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/cb79b5a3-fb87-40c6-8ea9-dc931c1795f0.png?resizew=152)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/cb79b5a3-fb87-40c6-8ea9-dc931c1795f0.png?resizew=152)
A.4个 | B.3个 | C.2个 | D.1个 |
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【推荐1】如图,在平面直角坐标系中,点A、点B在x轴上,OB=5,OA=2,点C是y轴上一动点,连接
,将
绕点A顺时针方向旋转
得到
,连接
,则
的最小值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/15/382183a9-f6e3-4cff-909a-740b2edfe03b.png?resizew=181)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/15/382183a9-f6e3-4cff-909a-740b2edfe03b.png?resizew=181)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】如图,边长为
的正方形
,对角线
,
相交于O,E为
边上一动点(不与B,C重合),
交
于F,G为
中点.给出如下四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/4/16c7063c-14f4-4eec-8524-14e3c29390d5.png?resizew=130)
①
;②点E在运动过程中,
面积不变化;
③
周长的最小值为
;④点E在运动过程中,
与
始终相等
其中正确的结论是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2eaf2acb7e954cc0c4aacdc1f29f34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/4/16c7063c-14f4-4eec-8524-14e3c29390d5.png?resizew=130)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15891bbd7c67566e96a78da95cde0f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc869125145c0139d92490a41bd3918.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff39c7aa648afd1080206c8080ff79e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eafa8e628e4995e60cc3400028e900b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307bd991211ec79b47a4be52933bb8e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
其中正确的结论是( )
A.①③ | B.②③ | C.①④ | D.①③④ |
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【推荐1】如图是一张矩形纸片
,点
,
分别在边
,
上,
,
.把该纸片沿
折叠,若点
,
的对应点分别为
,
,
的延长线过点
,则
的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/16/301d9cb5-64d2-4f84-ad0e-33bfa9988b32.png?resizew=202)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2465312c4d9f732d253b088020dc6fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06efc0f2cc53023e7f18b57b2bc26913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.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/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d1be9b1e742b25e355af14502549cb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/16/301d9cb5-64d2-4f84-ad0e-33bfa9988b32.png?resizew=202)
A.![]() | B.![]() | C.![]() | D.4 |
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【推荐2】如图,
中,
,
,
,过点
作
于
,过点
作
于
,过点
作
于
,这样继续作下去,线段
(
为正整数)等于( ).
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/7242a223-6be9-4632-a643-482d39345186.png?resizew=191)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d3c9ce32b721995f355eea411340e3.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83a4b5dcca35dc02215eb9e1b03636b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ea3ca3794b4388d3b2169c293e8c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/7242a223-6be9-4632-a643-482d39345186.png?resizew=191)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】如图,在正方形
的对角线
上取一点
.使得
,连接
并延长
到
,使
,
与
相交于点
,若
,有下列结论:①
;②
;③
;④
.则其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/bd9276b5-7d0e-4236-abf1-cd8ada9566db.png?resizew=208)
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c239a56587c675b532347546b48ea09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db3b0b5010813ccc388a41ba74f3b932.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/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba11242dcc61d3c7c3555b598b5fdc89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a2d014899fa3341b58348530f3d98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3225232d477dc6f023c225a8cf9cb11a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b596c3321483800d2fde51bf0dcc6e8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/bd9276b5-7d0e-4236-abf1-cd8ada9566db.png?resizew=208)
A.①②③ | B.①②③④ | C.①②④ | D.①③④ |
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【推荐2】如图,正方形ABCD中,点E,F分别在BC,CD上,△AEF是等边三角形,连接AC交EF于点G,下列结论:①CE=CF,②∠AEB=75°,③AG=2GC,④BE+DF=EF,⑤S△CEF=2S△ABE,其中结论正确的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/24/afc723ee-239b-4a16-8ce2-bea306d4e54c.png?resizew=195)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/24/afc723ee-239b-4a16-8ce2-bea306d4e54c.png?resizew=195)
A.2个 | B.3个 | C.4个 | D.5个 |
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