Question

已知△ABC是等腰直角三角形，∠BAC=90°，点D是BC的中点，作正方形DEFG

已知△ABC是等腰直角三角形，∠BAC=90°，点D是BC的中点，作正方形DEFG，使点A，C分别在DG和DE上，连接AE,BG
（1）试猜想线段BG和AE的数量关系
（2）将正方形DEFG绕点D逆时针方向旋转一定角度后（大于0°，小于360°）判断（1）中的结论是否仍然成立？如果成立，证明；不成立说明理由
（3）若BC=DE=2，在（2）的旋转过程中，当AE为最大值时，求AF的值

Answer 1

答案在图片中啦,只有10分太少了

那么长

Answer 2

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