如图,在
中,点D,E,F分别在边
,
和
上,连接
,
,得到四边形
是菱形,若
,
,
,求菱形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e904f5b316b9ba89599fb789dd9b09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b65065ec3a0cb4b050989165c003d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2176dac04a8b410e319342fb8e895b1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc761a41a1a8247a92e0a380b512dd2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/18/44e5fac6-c40f-4648-907f-563a8cd1838f.png?resizew=136)
更新时间:2023-05-14 16:38:18
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相似题推荐
解答题-证明题
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【推荐1】如图,菱形
中的对角线
相交于点O,
,
.求证:四边形
是矩形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf3e532be03af3434285a4932e46c79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83b5d737d39e5ea753c6c824dd964751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3275b04cb57af1d26fe2562cc4daa445.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e89d43151016343d2ab6c4851565e7.png)
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【推荐2】如图,已知PM
AN,且∠A=40°,点C是射线AN上一动点(不与点A重合),PB,PD分别平分∠APC和∠MPC,交射线AN于点B,D.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/27/114271b5-3707-41ae-963e-214f050d1026.png?resizew=216)
(1)求∠BPD的度数;
(2)当点C运动到使∠PBA=∠APD时,求∠APB的度数;
(3)在点C运动过程中,∠PCA与∠PDA之间是否存在一定的数量关系?若存在,请写出它们之间的数量关系,并说明理由;若不存在,请举出反例.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/27/114271b5-3707-41ae-963e-214f050d1026.png?resizew=216)
(1)求∠BPD的度数;
(2)当点C运动到使∠PBA=∠APD时,求∠APB的度数;
(3)在点C运动过程中,∠PCA与∠PDA之间是否存在一定的数量关系?若存在,请写出它们之间的数量关系,并说明理由;若不存在,请举出反例.
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【推荐1】如图,在菱形
中,对角线
与
交于点O.过点C作
的平行线,过点D作
的平行线,两直线相交于点E.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/bb30a175-5205-48ab-87f0-05181d6c3008.png?resizew=224)
(1)求证:四边形
是矩形;
(2)若
,菱形
的周长是8,求菱形
的面积.
![](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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/bb30a175-5205-48ab-87f0-05181d6c3008.png?resizew=224)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a6e2ab0a2c893dc495df33e5ee092d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348fb71fbc47fd87e9ce011652ef4186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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【推荐2】如图,四边形
的对角线
,
交于点
,
、
是
上两点,
,
,
.
![](https://img.xkw.com/dksih/QBM/2019/7/15/2247356879912960/2247503326838784/STEM/290233490a3442b6b924aeb311e35bc0.png?resizew=173)
(1)求证:四边形
是平行四边形.(2)当
平分
时,求证:
.
![](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/e7645d2e05f0e04620075963b715db58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ce1475f537b4ad21775bfaa16daa0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27fcafd4e3c295eed2ab9c92c3d4a36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f40b3bf6b27f936e0747de92151a1f77.png)
![](https://img.xkw.com/dksih/QBM/2019/7/15/2247356879912960/2247503326838784/STEM/290233490a3442b6b924aeb311e35bc0.png?resizew=173)
(1)求证:四边形
![](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/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cd32b50b0d590f80379a9ce96b8c760.png)
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【推荐1】如图,AB、BF分别是⊙O的直径和弦,且CD⊥AB于点E,CD与BF相交于点G,延长DC到点H,连接HF,使HF=HG.
(2)若sin∠HGF=
,BF=3,连接AF,求AF的长.
(2)若sin∠HGF=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
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解答题-作图题
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【推荐2】如图所示,
是
的直径,点
在
上,连接
,
,
于点
,
交
于点
.
(1)尺规作图:在
的延长线上作点
,使得
;
(2)求证:
是
的切线;
(3)若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b836a0f9c491f85767e8f6695576fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41d3f7d55fcbaebc4e2450ac63a3dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(1)尺规作图:在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db12014235a2549ad6f998bdc7b0ca0.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ee608882881caff2f1e223177424ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2021/6/26/2751198319230976/2799571862126592/STEM/10a6a2b2-d3c3-41c4-bc17-96bd2ce39369.png)
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【推荐1】已知⊙O的直径为10,点A,点B,点C在⊙O上,∠CAB的平分线交⊙O于点D.
(I)如图①,若BC为⊙O的直径,求BD、CD的长;
(II)如图②,若∠CAB=60°,求BD、BC的长.
(I)如图①,若BC为⊙O的直径,求BD、CD的长;
(II)如图②,若∠CAB=60°,求BD、BC的长.
![](https://img.xkw.com/dksih/QBM/2018/12/17/2098868141916160/2100963118202880/STEM/f839e0a3cfdc45c2bf0fe9b23cb2e6f7.png?resizew=267)
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【推荐2】图1是某小型汽车的侧面示意图,其中矩形
表示该车的后备箱,在打开后备箱的过程中,箱盖
可以绕点A逆时针方向旋转,当旋转角为
时,箱盖
落在
的位置(如图2所示).已知
厘米,
厘米,
厘米.
°,
厘米;
(2)求点
到
的距离(结果保留根号);
(3)求
两点的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975b5c41d07d984262066018c4dba19f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9113f21e9a174759cbd299046155f1da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ffc5f8682f2d9213065361a5210e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016350366586d7739b9cf877bf1c1bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1567d9787d45dcb3ff77290d7e441ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b906197774ca1017e1c75900df906b.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b3bd5e6bc2a0a277d279bb01af9584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d2f77649d40bae0d9b43c7ad55f8b91.png)
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