如图1,对角线互相垂直的四边形叫做垂直四边形.
(1)概念理解:如图2,在四边形ABCD中,AB=AD,CB=CD,问四边形ABCD是垂直四边形吗?请说明理由;
(2)性质探究:如图1,垂直四边形ABCD的对角线AC,BD交于点O.猜想:AB2+CD2与AD2+BC2有什么关系?并证明你的猜想.
(3)解决问题:如图3,分别以Rt△ACB的直角边AC和斜边AB为边向外作正方形ACFG和正方形ABDE,连结CE,BG,GE.已知AC=2,AB=3,求GE的长.
(1)概念理解:如图2,在四边形ABCD中,AB=AD,CB=CD,问四边形ABCD是垂直四边形吗?请说明理由;
(2)性质探究:如图1,垂直四边形ABCD的对角线AC,BD交于点O.猜想:AB2+CD2与AD2+BC2有什么关系?并证明你的猜想.
(3)解决问题:如图3,分别以Rt△ACB的直角边AC和斜边AB为边向外作正方形ACFG和正方形ABDE,连结CE,BG,GE.已知AC=2,AB=3,求GE的长.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/6e196292-9ba5-48d5-84c0-633b8a425dbc.png?resizew=438)
21-22八年级上·河南郑州·期中 查看更多[5]
河南省郑州市郑州外国语中学2021-2022学年八年级上学期期中数学试题江西省九江市永修县外国语学校2022-2023学年八年级上学期期末数学试题(已下线)专题14四边形解答题(精选32道)-学易金卷:三年(2021-2023)中考数学真题分项汇编【山东专用】四川省达州市达川区达州中学附属实验学校2023-2024学年八年级上学期10月月考数学试题江西省九江市同文中学2023-2024学年八年级上学期数学试题
更新时间:2021-11-14 18:34:20
|
相似题推荐
解答题-证明题
|
较难
(0.4)
【推荐1】如图,正方形ABCD的边长是
,点P是对角线AC上的一个点(不与A,C两点重合),连接BP,并将线段BP绕点B顺时针旋转90°得到线段BP′,连接PP′,CP′,PP′与BC相交于点E.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/26/b808eacf-2a8d-485d-ae8c-d905e376f030.png?resizew=154)
(1)求证:△BAP≌△BCP′;
(2)探究:线段PA,PC,PB之间满足什么数量关系,请写出结论并证明;
(3)若PA<PC,当PB=
时, 求BE的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad154809440ff4795de1fd667228b339.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/26/b808eacf-2a8d-485d-ae8c-d905e376f030.png?resizew=154)
(1)求证:△BAP≌△BCP′;
(2)探究:线段PA,PC,PB之间满足什么数量关系,请写出结论并证明;
(3)若PA<PC,当PB=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb648af28fef1d93a467535d1630ff0.png)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
【推荐2】已知,在
中,弦
,垂足为点E,连接
、
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/6/62c22fe2-f8ba-4fa7-827a-97ed2bcf4a5c.png?resizew=547)
(1)如图1,若
,求证:
;
(2)如图2,连接
、
,过点B作
,垂足为点F,
交
于点G,求证:
;
(3)如图3,在(2)的条件下,在
上取一点H,在
上取一点J,连接
,
,若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc1f76257275ab4b04f9bc913535670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/6/62c22fe2-f8ba-4fa7-827a-97ed2bcf4a5c.png?resizew=547)
(1)如图1,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dceb5cc71fc50f20649f6b9535fd914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a702c324e0c76150540c3d32df802077.png)
(2)如图2,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ff7bf8ffc8a04186e3e13c1a6d5ced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d1d02e5aafc13ac750f65b7227c77e.png)
(3)如图3,在(2)的条件下,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14e444150bc60e96a5973b4209a4c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293ef71a9a489b71c418d789fad1c27e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b3ca4e27f454c01b6dd2408eb65c75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4d3208960fd61c365fb630ae32d0b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
您最近一年使用:0次
【推荐3】问题背景:如图1,在四边形
中,
,
,
,
,
,
绕B点旋转,它的两边分别交
、
于E、F.探究图中线段
,
,
之间的数量关系.小李同学探究此问题的方法是:延长
到G,使
,连接
,先证明
,再证明
,可得出结论,他的结论就是_______________;
探究延伸1:如图2,在四边形
中,
,
,
,
,
绕B点旋转,它的两边分别交
、
于E、F.上述结论是否仍然成立?请直接写出结论(直接写出“成立”或者“不成立”),不要说明理由.
探究延伸2:如图3,在四边形
中,
,
,
,
绕B点旋转,它的两边分别交
、
于E、F.上述结论是否仍然成立?并说明理由.
实际应用:如图4,在某次军事演习中,舰艇甲在指挥中心(O处)北偏西
的A处舰艇乙在指挥中心南偏东
的B处,并且两舰艇到指挥中心的距离相等接到行动指令后,舰艇甲向正东方向以75海里/小时的速度前进,同时舰艇乙沿北偏东
的方向以100海里/小时的速度前进,1.2小时后,指挥中心观测到甲、乙两舰艇分别到达E、F处,且指挥中心观测两舰艇视线之间的夹角为
,试求此时两舰艇之间的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0d7095ddd69d6ceaf1065b1bc2c79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3bbe4cdd2c154bd9a8073b0d4cecb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6e4a2df58a236c20df5df0d29a466c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e918b70b02a73685e3c536c7f380e2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2449b6be64417beea30528886720c20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44d9f2b82b73e7a0917a19f74dbc5f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.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/82c4f440b65c520d479378fa89c1d375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85e666dd62dfcf04a01f00a073989646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a41f468ecd2520dbc7ddd58ff543d15.png)
探究延伸1:如图2,在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0d7095ddd69d6ceaf1065b1bc2c79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3bbe4cdd2c154bd9a8073b0d4cecb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6e4a2df58a236c20df5df0d29a466c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd52c2dfe29fdc18c65e1f488f138bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44d9f2b82b73e7a0917a19f74dbc5f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
探究延伸2:如图3,在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6e4a2df58a236c20df5df0d29a466c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b648f6f2bcc33d4ab0d3925ffb9c5e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd52c2dfe29fdc18c65e1f488f138bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44d9f2b82b73e7a0917a19f74dbc5f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
实际应用:如图4,在某次军事演习中,舰艇甲在指挥中心(O处)北偏西
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16aa0b9869db50a9ab48cc32925d8e96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb94bd9eb80fb9f5f02f518bb8f2211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16aa0b9869db50a9ab48cc32925d8e96.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
【推荐1】已知:在△ABC中,AB=AC=5,BC=6,将△ABC绕点C顺时针旋转,得到△A1B1C,旋转角为α(0°≤α≤360°).
(1)如图①,当α=60°时,连接A1B交B1C于点D,则A1B的长是 ;
(2)如图②,当点B1在线段BA的延长线上时,求线段AB1的长;
(3)如图③,点E是BC上的中点,点F为线段AB上的动点,在△ABC绕点C顺时针旋转过程中,点F的对应点是F1,线段EF1的长是否存在最大值和最小值?若存在请求出线段EF1长度的最大值与最小值的差;若不存在,请说明理由.
(1)如图①,当α=60°时,连接A1B交B1C于点D,则A1B的长是 ;
(2)如图②,当点B1在线段BA的延长线上时,求线段AB1的长;
(3)如图③,点E是BC上的中点,点F为线段AB上的动点,在△ABC绕点C顺时针旋转过程中,点F的对应点是F1,线段EF1的长是否存在最大值和最小值?若存在请求出线段EF1长度的最大值与最小值的差;若不存在,请说明理由.
![](https://img.xkw.com/dksih/QBM/2020/11/12/2591105512071168/2595812892295168/STEM/a3661458a2b0428e9e5466f424d52dbd.png?resizew=592)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
名校
解题方法
【推荐2】如图,已知抛物线y=ax2+bx+c(a≠0)过原点O和点A(3,﹣3),F(1,
)是该抛物线对称轴上的一个定点,过y轴上的点B(0,
)作y轴的垂线l.
(1)求抛物线的解析式;
(2)点P(m,n)是抛物线上的任意一点,过点P作直线l的垂线,垂足为M.求证:点P在线段FM的垂直平分线上;
(3)点E为线段OA的中点,在抛物线上是否存在点Q,使
QEF周长最小?若存在,求点Q的坐标和
QEF周长的最小值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59ab85c075a09d55d69e159e4abb268.png)
(1)求抛物线的解析式;
(2)点P(m,n)是抛物线上的任意一点,过点P作直线l的垂线,垂足为M.求证:点P在线段FM的垂直平分线上;
(3)点E为线段OA的中点,在抛物线上是否存在点Q,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://img.xkw.com/dksih/QBM/2021/7/11/2761667687170048/2799708056018944/STEM/c1733d59-73b3-4605-ae8e-d0a5e4189e9f.png)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
名校
解题方法
【推荐1】如图1,点A的坐标为(a,2),点B的坐标为(b,0),且a,b满足
+(b﹣4)2=0,点C在y轴负半轴上,AC交x轴于点E,点D在x轴正半轴上,且AC⊥AD.
![](https://img.xkw.com/dksih/QBM/2021/9/9/2804599511515136/2805697768767488/STEM/3a7aebb88150449eaf3a789a5666939e.png?resizew=413)
(1)判断
OAB的形状,并说明理由.
(2)探究线段OC,OD,OA之间的数量关系并证明.
(3)如图2,点F在x轴负半轴上,∠FAC=45°,探究BE2,EF2,OF2之间的数量关系并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc97cd99fb9c77b31d3f19e384941cd2.png)
![](https://img.xkw.com/dksih/QBM/2021/9/9/2804599511515136/2805697768767488/STEM/3a7aebb88150449eaf3a789a5666939e.png?resizew=413)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
(2)探究线段OC,OD,OA之间的数量关系并证明.
(3)如图2,点F在x轴负半轴上,∠FAC=45°,探究BE2,EF2,OF2之间的数量关系并证明.
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
名校
【推荐2】如图,在
中,∠A=90°,
是
的中点,过点
的直线
、
交直线
、
于点
、
,且
,连接
.
![](https://img.xkw.com/dksih/QBM/2020/3/22/2424849253859328/2425080393351168/STEM/9d59b1bf-2ca2-4f67-94bf-9de26ff38c99.png?resizew=205)
![](https://img.xkw.com/dksih/QBM/2020/3/22/2424849253859328/2425080393351168/STEM/da0c3120-97a2-42de-af99-2b6ee38cb825.png?resizew=226)
(1)如图1,求证:
;
(2)如图2,若
,
,
,请直接写出线段
的长度.(不必写过程)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3efffb3e6a571832b723b3c5795b8e8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/2020/3/22/2424849253859328/2425080393351168/STEM/9d59b1bf-2ca2-4f67-94bf-9de26ff38c99.png?resizew=205)
![](https://img.xkw.com/dksih/QBM/2020/3/22/2424849253859328/2425080393351168/STEM/da0c3120-97a2-42de-af99-2b6ee38cb825.png?resizew=226)
(1)如图1,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6b73fa23c6274cd682735b762b5a2f.png)
(2)如图2,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68e744f480e11f588570c5d6738799f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f414cce1427646590a7f7144efe2e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
解题方法
【推荐1】如图1,在正方形ABCD中,点E、F分别在BC、CD上,且BE=DF,AE、AF分别与BD交于点G、H,过点G作GN⊥AF,垂足为M,交AD于点N.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/15/c4ea3300-2bea-4d96-8719-d0eb73d6dbb6.png?resizew=252)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/15/8cd8b2ca-c182-4c20-b27e-528144af5e3b.png?resizew=230)
(1)求证:AH=GN;
(2)若∠EAF=45°,求证:
;
(3)如图2,过点G作GQ⊥AD,垂足为Q,交AF于点P,若GM=3MN,求
的值.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/15/c4ea3300-2bea-4d96-8719-d0eb73d6dbb6.png?resizew=252)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/15/8cd8b2ca-c182-4c20-b27e-528144af5e3b.png?resizew=230)
(1)求证:AH=GN;
(2)若∠EAF=45°,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cbe31117f363607e5fe23848176ab07.png)
(3)如图2,过点G作GQ⊥AD,垂足为Q,交AF于点P,若GM=3MN,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3943b3df0d6e5e37eb09a72e453e7d2a.png)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
【推荐2】【问题背景】数学兴趣小组利用两块大小不同的正方形卡片进行“正方形旋转”的探究活动.如图1,他们将边长为4的正方形
与边长为2的正方形
的一个顶点重合于点B,使边
,
分别落在边
,
上.容易发现
且
.
固定,将正方形
绕点B顺时针方向旋转
(
).
(1)如图2,连接
,
,试探究
与
的上述关系是否仍然成立?若成立,请给予证明;若不成立,请说明理由.
(2)小组研究发现:如图3,连接
,在旋转过程中,存在
与
全等的情形,请直接写出此时旋转角α的度数 .
【问题拓展】将图1中正方形
固定,将正方形
绕点B顺时针方向旋转a(
).
(3)在旋转过程中,当A,G,E三点在同一条直线上时,求线段
的长;
(4)如图4,连接
,取
中点H,连接
,请直接写出线段
长度的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc7ee0ef8945ba1b90e59aed7cab889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76956e451ab7fd18f473503c3745187d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6813488bd1ea40a3aa5e2cb3be7bf312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc7ee0ef8945ba1b90e59aed7cab889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e7591d7a8b899be0aec7f9bf350b4ab.png)
(1)如图2,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
(2)小组研究发现:如图3,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd0c32d9f3badb7e51233dd39a39fbb3.png)
【问题拓展】将图1中正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc7ee0ef8945ba1b90e59aed7cab889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e7591d7a8b899be0aec7f9bf350b4ab.png)
(3)在旋转过程中,当A,G,E三点在同一条直线上时,求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
(4)如图4,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83f1f880e5ffbff036953acaca90c41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83f1f880e5ffbff036953acaca90c41.png)
您最近一年使用:0次