如图,扇形
的圆心角是直角,半径为
,C为
边上一点,将
沿
边折叠,圆心O恰好落在弧
上,则阴影部分面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbf9680f74a9ac5d934304654ce2771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/10/72a4c1cc-c21d-4aa7-aa7b-a7fae520acc1.png?resizew=153)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2023-06-10 15:02:00
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真题
【推荐1】如图,在
中,
,
,
是边
的中点,
是边
上一点,若
平分
的周长,则
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c14a66ed4bd66df65bc42c4ac1ed15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a1be17e0a3e51cde1f50f384198e71e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】如图,在
中,AB=AC,∠A=20°,点D为AC边上的一点,∠DBC=50°,点E为AB上一点,∠ECB=20°,则∠BDE的度数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/17/3275b2fa-0a27-47c1-916e-26a56b5c6311.png?resizew=247)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/17/3275b2fa-0a27-47c1-916e-26a56b5c6311.png?resizew=247)
A.10° | B.15° | C.20° | D.25° |
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【推荐1】如图,AB为⊙O的切线,切点为B,连接AO,OA与⊙O交于点C,BD为⊙O的直径,连接CD,若∠A=30°,⊙O的半径为4,则图中阴影部分的面积为( )
![](https://img.xkw.com/dksih/QBM/2018/12/18/2099620196556800/2101495964786688/STEM/28bf80624bbf46adb514526e69e20f35.png?resizew=146)
![](https://img.xkw.com/dksih/QBM/2018/12/18/2099620196556800/2101495964786688/STEM/28bf80624bbf46adb514526e69e20f35.png?resizew=146)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() |
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名校
【推荐2】如图,在矩形
中,
,以
为圆心,
长为半径画弧交
于点
,以
为圆心,
长为半径画弧交
的延长线于点
,则图中阴影部分的面积是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19592a5eaacb7752f792d43652b43db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/19/5d9c9862-6ffb-4495-aef5-7bbbea706c00.png?resizew=96)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】观察发现:在三角形中,大角对大边,小角对小边.
猜想证明:
中,
.
求证:
.
证明:将
沿直线
①折叠,使点B与点C重合,如图2.
∴
,
∴
(②).
在
中,
(③),
∴
(④),
∴
.
列说法不正确的是 ( )
猜想证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6f337c00a6d4bf1e7580d8888db3d6.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb980da8e86b4cfd322616dc84fc6e.png)
证明:将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc603d44c4bacb658ff86bf808d3095.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0435f724a67b42436680115721cc3f1d.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dddb32a7a5c157fdf8aa049b2d665b4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2af1a11eff7de0fb670a939f79608c3d.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f16ad4b66c5bd301e5d17b3de6c3913e.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb980da8e86b4cfd322616dc84fc6e.png)
列说法不正确的是 ( )
A.①处的![]() ![]() | B.②表示等角对等边 |
C.③表示三角形的两边之和大于第三边 | D.④表示等式的基本性质 |
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【推荐2】已知四边形
,其中
,
,将
沿
折叠,
落于
,
交
于
,且
为长方形(如图1);再将纸片展开,将
沿
折叠,使
点落在
上一点
(如图2),在两次折叠过程中,两条折痕
、
所成的角的度数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdd9f345915ae742ed3dcd3f9678264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288abe01824f42cfe725509af5aec4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971b23e3ee827018557d6c88edd5369a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304748dc82c75597b97810c9d430f638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a679040c4d556723e482bacbab41356d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdd9f345915ae742ed3dcd3f9678264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a679040c4d556723e482bacbab41356d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/13/1777a25a-e090-4d9d-97af-17f462a5facf.png?resizew=282)
A.![]() | B.45° | C.![]() | D.不确定 |
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【推荐1】如图,菱形
的边长为4,
,
是
边的中点,点
是对角线
上的动点,当
的值最小时,
的长是( )
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2062f2e8478e9f53bfeae4a69b45f7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/10/f00f6001-8990-4924-8c5a-dea78e7f9819.png?resizew=152)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】如图,射线
与
轴正半轴的夹角为
,点
是
上一点,
轴于
,将
绕着点
逆时针旋转
后,到达
的位置,再将
沿着
轴翻折到达
的位置,若点
恰好在抛物线
上,则点
的坐标为( )
![](https://img.xkw.com/dksih/QBM/2019/12/30/2366250122706944/2367056462225408/STEM/4d8e38b5-a6dd-48a4-b338-a1e8e2bf0c1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7277dcfb480720f2f37413cb0d34d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba9d8fa8b70f0a1dab3f98a744518bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da4bac077082718081f4bee07650f307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da4bac077082718081f4bee07650f307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe7b6efac93ce20407d4250f35a1a2f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e30700a1d4c40901786b9c6c7301162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/2019/12/30/2366250122706944/2367056462225408/STEM/4d8e38b5-a6dd-48a4-b338-a1e8e2bf0c1d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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