小睿在做数学练习时,遇到下面的题目.
小睿的计算结果与参考答案不同,因此她对参考容案产生了质疑,下面是她分析、探究的过程,请你补充完整.
第一步,读题,并标记题目条件如下:
在
中,D为
边上一点,①
,②
;③
,④
,⑤
的周长为5.
第二步,根据条件③④⑤,可以求得
____;
第三步,做出
,如图(2)所示;
第四步,根据条件①,在图(2)中作出
(尺规作图,保留作图痕迹);
第五步,对所作图形进行观察、测量,发现与标记的条件____不符(填序号),去掉这个条件,题目其他部分保持不变,则
的长为____.
题目:如图(1),在![]() ![]() ![]() ![]() ![]() |
第一步,读题,并标记题目条件如下:
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/250108c730160406b41a394121b7746f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78002bca853929365a3f58082f3e7637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a9ec45721f7b4d1c99917ac0d970f.png)
第二步,根据条件③④⑤,可以求得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee60a002af4b11b39517859053ce94b.png)
第三步,做出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
第四步,根据条件①,在图(2)中作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
第五步,对所作图形进行观察、测量,发现与标记的条件____不符(填序号),去掉这个条件,题目其他部分保持不变,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
小睿:“该题目的已知条件存在自相矛盾的地方,若去掉矛盾的条件后,便可求出![]() | 老师:“质疑是开启创新之门的钥匙!” |
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/f24757cb-1287-432b-a893-16f0d94c9ab7.png?resizew=304)
更新时间:2022-11-12 11:12:05
|
相似题推荐
解答题-证明题
|
较易
(0.85)
名校
【推荐1】已知:如图,
是线段
的垂直平分线,E,F是
上的两点.
求证:
.
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf02a5fedd9db674168f36551eeb3fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/4e2e8a12-4e1e-4b3a-9407-53a77376e76a.png?resizew=187)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
【推荐2】如图,已知
是线段
的垂直平分线,垂足为点F.E是
上的一点,
,
.试求
的周长.
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231c168ba5675be88b4947c2f7710cd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93bc4c9dd737193f7acce692b23500d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd75c2244c18120b8fc35d5d309ab66.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/20b86ac6-fd4d-48d2-a817-b0bd8e53a4a1.png?resizew=171)
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
【推荐2】如图,在
中,
,
,D是
上一动点,连接
,以
为直径的
交
于点E,连接
并延长交
于点F,交
于点G,连接
.
(1)求证:点B在
上.
(2)当点D移动到使
时,求
的值.
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63dee45a1084de33934b9abb6bed96ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7907384293b855d9f004b19d2c5fa95f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a5ea7b924505039af8a0a01aabe5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0e65e147b109f2bbfd3a3f502bbc3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a5ea7b924505039af8a0a01aabe5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0213c5787a5a6b38d11bceca5567f67.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/27/30fdb749-8a27-4eef-8f05-99cf34cee5b3.png?resizew=179)
(1)求证:点B在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a5ea7b924505039af8a0a01aabe5b8.png)
(2)当点D移动到使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a0d2a2415ec1e1374ac46bc232f450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bd3135fd2be2d13721c3f0e083cbee.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e80a8bd94cda556ea7444f187a670a9.png)
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
【推荐1】如图1,
是菱形
的对角线,点
是边
上一点,将
沿着
翻折,点
的对应点
恰好落在
的延长线上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/8/1f29f20d-b536-4032-a8dc-22d4c108126d.png?resizew=308)
(1)求证:
平分
;
(2)如图2,若点
落在
上.
①猜想
与
之间的数量关系,并证明你的结论;
②若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/8/1f29f20d-b536-4032-a8dc-22d4c108126d.png?resizew=308)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319a01218514917e446dfc807a625ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a2e6494cf8d2dff0746a9bb72cef43.png)
(2)如图2,若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
①猜想
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d786ee723231d4ca87eb9d011a378b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685516a27697104e83b311d76efa17aa.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107aafb813337f2456413a03fe5b6092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed13973ffe158bced45616efee224b6.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
名校
【推荐2】如图,等边△ABC,点D、E分别是边AC、BC上的点,∠ADE=60°,BD=2,CE=
,求等边△ABC的边长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://img.xkw.com/dksih/QBM/2019/4/13/2181458274025472/2183217020657664/STEM/0168faf8636e44dfa2b0be2fae0c386a.png?resizew=145)
您最近一年使用:0次