如图,在四边形
中,
,点E在
上,
,过点E作
,垂足为F.
是平行四边形:
(2)若
,
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba13ac3fef361aae925e528c607b1bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387cb1a9bbf3452f9ead3697ce02eb0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab00e0cff0876c4183a47f1272cf9928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6bfad3f7e65188bcf7f62ea5acdbf4a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640e9e7c56e8eeda044fb55396088816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fa1b5b6051d500fe6c6f1c19c7ee49f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb8eca20ce2c918ea4034ea15210c7f.png)
更新时间:2023-07-09 15:30:34
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解答题-证明题
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【推荐1】如图,点A在MN上,点B在PQ上,连接AB,过点A作
交PQ于点C,过点B作BD平分∠ABC交AC于点D,且
.
![](https://img.xkw.com/dksih/QBM/2022/1/19/2897740446646272/2917647717179392/STEM/3c8f4acb-7537-447d-8ecc-6cf359b7f0bb.png?resizew=204)
(1)求证:
;
(2)若
,求∠ADB的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ba132ca9dd0d4a050659aef3c9b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88248ec728cf2a41c37e3f8d2c601ee4.png)
![](https://img.xkw.com/dksih/QBM/2022/1/19/2897740446646272/2917647717179392/STEM/3c8f4acb-7537-447d-8ecc-6cf359b7f0bb.png?resizew=204)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/947aed0181a8c0bd81c6ebeba8d1ddc6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b2f2c90370d8f96e30ffd38a406c5.png)
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【推荐2】如图所示,已知DF⊥AB于F,∠A=40°,∠D=50°,求∠ACB的度数.
![](https://img.xkw.com/dksih/QBM/2020/9/30/2560789028364288/2565093089943552/STEM/4e696040-b8e6-47f6-bfee-9a5e63a0db19.png)
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解答题-证明题
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【推荐1】如图,已知点B,E,C,F在同一条直线上,AC与DE交于点M,
,
,
.
![](https://img.xkw.com/dksih/QBM/2022/5/7/2974196893548544/2975580314066944/STEM/21374ad1-97e8-48e2-ae6c-44b17531defe.png?resizew=207)
(1)证明:
;
(2)若
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fec9e3bf7ff287df2cbdff8addfaf5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e570eabbf1b9390fe78cbb37995c60f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f48d1cbd6610c5daa16ea33deab9406.png)
![](https://img.xkw.com/dksih/QBM/2022/5/7/2974196893548544/2975580314066944/STEM/21374ad1-97e8-48e2-ae6c-44b17531defe.png?resizew=207)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2086ddf65b72872686b0823476aad559.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640e9e7c56e8eeda044fb55396088816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ea8be9535f942121f6f6d873d03272.png)
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【推荐1】如图,D、E、F分别是△ABC的三条边上的点,CE=BF,△DCE和△DBF的面积相等.求证:AD平分∠BAC.
![](https://img.xkw.com/dksih/QBM/2020/12/16/2615184847593472/2617053946208256/STEM/a25fef9aac6547eb9a118dbc25da0f94.png?resizew=131)
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【推荐2】如图,在
中,
交
于点
,点
到
的距离相等,且
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d54431bbb28ebd98db5c1dc6083a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0374c406b563f0d258aa5c2654bbd06e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5157b42da58d55daad27d98b2fec15ff.png)
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解答题-作图题
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【推荐1】如图,
,
,以
为圆心,
的长为半径画弧,再以
为圆心,
的长为半径画弧,两弧交于点
,连接
,
,使得四边形
是矩形.根据上述内容解答:
(1)用尺规作图补全图形(保留痕迹,用黑色笔将痕迹描黑);
(2)补全证明过程(填写数学式子或理由).
证明:∵
,
,
∴四边形
是 ( ),
∵
,
∴四边形
是 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4da76c9303e0f51fdbbe491e52624a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2023/7/7/3275723857117184/3283365135679488/STEM/8c83a2f3341a46b39b1194eaf716f2c0.png?resizew=170)
(1)用尺规作图补全图形(保留痕迹,用黑色笔将痕迹描黑);
(2)补全证明过程(填写数学式子或理由).
证明:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c220eadc312101e2fb89dfe920f7b30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d2530e7023b2345c651e8f53629ff1.png)
∴四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4da76c9303e0f51fdbbe491e52624a.png)
∴四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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【推荐2】如图,
是
内一点,连接
,线段
,
的中点分别为
,
.请你判断四边形
的形状,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f986188053acba1d28cd05311cb1289d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3355b74ba3dff8a70c29cfd51c00df29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615e2d587bdf1296714ff2048a5df563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf33d73483c93f24cc6a1d76ef22ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://img.xkw.com/dksih/QBM/2023/12/27/3398225768480768/3398293987737600/STEM/61899586ff42407abf525f21303505de.png?resizew=148)
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