如图,扇形AOB的圆心角为60°,线段CD和扇形AOB相切,切点M为圆弧的中点,
,连接MA,MB,利用扇形与四边形AOBM和五边形AOBCD的面积关系估计圆周率
的范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276f64bcfa74b44c5ef5ca88fc8208f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/24/4790c282-2601-4cc3-9f0e-1f6cb5b980a5.png?resizew=134)
更新时间:2022-07-18 15:39:12
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【推荐1】如图,在平面直角坐标系中,过点
作x轴的垂线,分别交抛物线
与直线
交于点A,B,以线段
为对角线作菱形
,使得
,则菱形
的面积最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924886b76c218169b2f4d00bb7e9563c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c28b4f0234b698f001e7dec787b4d44.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c593ebdb2f1934a0cb56f8c44f454f8.png)
![](https://img.xkw.com/dksih/QBM/2020/9/1/2540391829979136/2540533078499328/STEM/8d7bc692-dadb-4d6d-9e80-9fa25792a40f.png?resizew=237)
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【推荐2】如图,在菱形
中,
,点P和点Q分别为
和
边(不含端点)上的动点,
,连接
交于点E,连接
交对角线
于点F,现给山以下结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/3/2f797b96-ae83-4172-b832-b26fb3740b01.png?resizew=172)
①
与
一定互补;
②
与
的度数不可能相等;
③
一定成立;
④若
,则
的值为
.
其中正确的是___________ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5712660ba254a159b094932c02cf17e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f11727b586baf07b63c77be70a4d73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/3/2f797b96-ae83-4172-b832-b26fb3740b01.png?resizew=172)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fa5dff377ef08e416547def489def0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b343cae950a40d72a57c09cdc13d0e.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36719f1e764ee0e719b65c49fae84677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060705794ef87cc71dac40c57f27b1d2.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcecf0164ffa31efd4db8d68a2572de0.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc54cd29ce1e49040a127b468b301dae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc3f93ceb05f20799a28a6aa99cab44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
其中正确的是
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【推荐1】如图,在矩形
中,
,
,
分别平分
,
交
于点E,F,且
,
相交于点O,连接
并延长交
于点G.则下面结论正确的是________ .(写出所有正确结论的序号)
①
;
②四边形
是轴对称图形;
③
;
④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37eea7427ee5eeadc693db92b9eb7f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf1438142deeac876fc7dc50552e552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61fe81d0b136fc2acc97ab50ffbf6edf.png)
②四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2fdf7cafbf9be1499e9da222c965737.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa556c83fbb8fbae2d2d068161cf93a.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2e4daed508855128840dc35dad2046.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/21/8e287e48-179e-4aa3-bf83-324b5b2ac98f.png?resizew=158)
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【推荐2】如图,四边形
为矩形,点E在
上,连接
,
交
于点F,连接
,点M在
上,连接
,若
,
,
的面积为6,则
的长为______ .
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【推荐1】如图,矩形
中,
,
.动点E在
边上,以点E为圆心,以
为半径作弧,点G是弧上一动点.
(1)如图①,若点E与点A重合,且点F在
上,当
与弧相切于点G时,则
的值是________ ;
(2)如图②,若
连结
,
,分别取
、
的中点P、Q,连接
,M为
的中点,则CM的最小值为________ .
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
(1)如图①,若点E与点A重合,且点F在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
(2)如图②,若
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【推荐2】如图,在平面直角坐标系中,
与
轴相切于点
,与
轴交于点
、
,连接
并延长交
于点
,交
轴于点
,连接
并延长交
轴于点
,已知点
的坐标为
,则点
的坐标为__________ .
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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![](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/15bdee7807edba89958c84bf4bb85f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92dadc7fa704f555d795c3734142ed78.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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【推荐1】如图,正方形
的边长为
,以
为圆心,
为半径作弧
交
于点
,设弧
与边
,
围成的阴影部分的面积为
.然后以
为对角线作正方形
,又以
为圆心、
为半径作弧
交
于点
,设弧
与边
、
围成的阴影部分的面积为
,…,按此规律继续作下去,设弧
,
围成的阴影部分的面积为
,,则Sn=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3c6a4b1e5841adf0496a5c56f0cbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec56bd966d3cd460ad964c6b5fdea002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc29034a129d09450b9d466ef4ad9ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9b20b9437f18cd394371fa6175d785.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a845c4ad1de79ea61c47995659c9b6c.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b2a8c80bc574fc27cb32dcb06c6679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d1655ba93cea600ced25f8408bc6c8c.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046e553f1dbdc21b013a2bd5e6f17a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b256dca9459a0b8f77de8367ed38d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a37fcf08f5a76ee0c633ba4ae7671a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16361a6814db5b467a3ca83956eb26d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe124d5795ffc09f04f19264ce031f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa462ff07654d9de350e160da6db0342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81c68c6e1ecc9657768b37ce4ac1767.png)
![](https://img.xkw.com/dksih/QBM/2018/9/23/2038381370294272/2044958354563072/STEM/fc0b35e41b94480daaf66c35926cc176.png?resizew=104)
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【推荐2】如图,在
中,
,
,
,以点C为圆心,
的长为半径画弧,分别交
,
于点D,E,以点E为圆心,
的长为半径画弧,交
于点F,交
于点G,则图中阴影部分的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8807117d0d649419fdda04c531cdc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d3c9ce32b721995f355eea411340e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83cb6327dcbc8a998e6586bcfa7a3b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f986c181183d8e7e45655e6c5b5d5b.png)
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