如图,在▱ABCD中,对角线AC与BD相交于点O,△ABO是等边三角形,AB=4,求BC的长.
![](https://img.xkw.com/dksih/QBM/2018/2/8/1877786952777728/1880247545839616/STEM/8b480976527f4eb69884563d3cffc828.png?resizew=105)
更新时间:2016-12-06 04:52:48
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解答题-证明题
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适中
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【推荐1】已知:如图,点P是等边
内的一点,连接
、
、
,以
为边作等边
,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/de10ad67-915c-42a7-9261-ea3b8108b2b4.png?resizew=127)
(1)求证:
;
(2)若
,
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983add910c8e09954f164a5e87d1f7fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/de10ad67-915c-42a7-9261-ea3b8108b2b4.png?resizew=127)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ad2563f18f321e5fcf4a9f5ba1fd26.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59798989a286cbf711be156b28e6b0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccfb8347b22077e850fe698eabbb2f18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafd21730b3a22d6b078eeb1a18bc468.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2cc5f8cec8c498aa12c99c04e1c97d.png)
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解答题-作图题
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适中
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【推荐2】已知两线段
、
,画
,使
,
,
.(要求尺规作图,保留作图痕迹)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af014f26708c4668f8f2e955bf176d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f08f48005fb4dbd314a47fb101f056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953f11eb95bfc036d85b472f81c6fb4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da2b024e5926973d8e69d466b9c0e94a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba29b522f5d17eca599446910fda6216.png)
![](https://img.xkw.com/dksih/QBM/2023/3/2/3185903643475968/3221582923571200/STEM/02ac178db0154394a2b5ff3c2a150ffc.png?resizew=200)
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解答题-证明题
|
适中
(0.65)
【推荐1】如图,在▱ABCD中,CF⊥AB于点F,过点D作DE⊥BC的延长线于点E,且CF=DE.
(1)求证:△BFC≌△CED;
(2)若∠B=60°,AF=5,求BC的长.
(1)求证:△BFC≌△CED;
(2)若∠B=60°,AF=5,求BC的长.
![](https://img.xkw.com/dksih/QBM/2019/6/15/2225975107092480/2227501918994432/STEM/2bc7c65b7acc4b17bd447ef20ebceb2e.png?resizew=152)
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解答题-证明题
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名校
【推荐2】在平行四边形
中,
,交
的延长线于点
.
(1)如图1,连接
,若
,
,
,求
的面积.
(2)如图2,延长
至点
,使得
,连接
交
于点
,连接
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c61c6445a9cdc58ad2974a8d03a767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/28/34b44606-7364-44ec-bc8c-65cadbddf2da.png?resizew=336)
(1)如图1,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/519d3cbe962154438e43a23b0d9eda2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b0393ce62b24aa5f9b740d4cc6743b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ebb33adb2310a6e03918761e68204a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
(2)如图2,延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee04dfcd5c29068ac2827da7df2a65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735056c174e8dd7906257a2a50a962a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34323137ddb894a70d97511aa5fe6f98.png)
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解答题-问答题
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名校
【推荐1】如图,河的两岸l1与l2相互平行,A、B是l1上的两点,C、D是l2上的两点,某人在点A处测得∠CAB=90°,∠DAB=30°,再沿AB方向前进20米到达点E(点E在线段AB上),测得∠DEB=60°,求C、D两点间的距离.
![](https://img.xkw.com/dksih/QBM/2022/4/21/2962723912957952/2977113482018816/STEM/3209d417-fad0-4991-af6c-9e494cf7b7ee.png?resizew=225)
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解答题-应用题
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适中
(0.65)
【推荐2】如图,线段
、
分别表示甲、乙两建筑物的高,
,
,垂足分别为
、
.从
点测得
点的仰角
为
,从
点测得
点的仰角
为
,甲建筑物的高
米.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)求乙建筑物的高
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a2fc51de957401a6193689497e6014d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c985b2a5d41205c53ab4077537c2feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b84573fa408635b4535ccc56aa65c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)求乙建筑物的高
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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