正方形
的边长为
,点
分别是线段
上的动点,连接
并延长,交边
于
,过
作
,垂足为
,交边
于点
.
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/16d497edc20b423e81757a5b2e9e22d2.png?resizew=283)
(1)如图1,若点
与点
重合,求证:
;
(2)如图2,若点
从点
出发,以
的速度沿
向点
运动,同时点
从点
出发,以
的速度沿
向点
运动,运动时间为
.
①设
,求
关于t的函数表达式;
②当
时,连接
,求
的长.
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/f4c4e6ffd23a4705a9f225cd3aa80690.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/d093162259b54fb782bee8bf00bbedf2.png?resizew=32)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/ac13bb8b685343b4a6173e7ad5a15e4c.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/2d8e695aa1dd4112b66234f34a66c06a.png?resizew=64)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/089605e2e2d74fc59381487464506af0.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/4bbbd5e0bd274282890a68d89c0d576d.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/60034264b1c146c7b9774b8daa645cb0.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/ae0b09efc089498892f21ae1109d8cac.png?resizew=21)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/2cd35bfa16eb4899b5c8d8e0315b432c.png?resizew=71)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/4d69a6853eec4d83afd9be8b10f911db.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/ba49038725704b0581e5885c81ded693.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/25e35904f2aa42098da815dc4fe1008c.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/16d497edc20b423e81757a5b2e9e22d2.png?resizew=283)
(1)如图1,若点
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/ae0b09efc089498892f21ae1109d8cac.png?resizew=21)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/0a680659ca0f4cbf9379e4fde51c02e7.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/c92cb83c619b4a8a947c9676d8e35403.png?resizew=69)
(2)如图2,若点
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/ae0b09efc089498892f21ae1109d8cac.png?resizew=21)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/0a680659ca0f4cbf9379e4fde51c02e7.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/93a395c5f7024f16896b52fe613dd2b0.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/51e891a35ec8428f9021dc3e527e87dd.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/ec4e5c7713894b9398d2cf88dc9e7d07.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/b111efffdee64cc99b7b398eaca5b869.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/ae97b1471aeb44a3a86ee46d6bc28327.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/053f3405ae3d40978fedd683aa7bc2cc.png?resizew=59)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/60d57418c3a64fab99595116026301a7.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/0a680659ca0f4cbf9379e4fde51c02e7.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/8519076d16b94b6e9ce0cf2b63772ba6.png?resizew=16)
①设
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/3f6be2bfab5448adabb256814eea2b43.png?resizew=69)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/ec998c03ce274730b5366649f10706da.png?resizew=15)
②当
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/eecf35b0545048aaaf5a551ae7591b82.png?resizew=76)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/543baf86c9ac45e7adc4e71b74f94044.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773761142300672/1773761142718464/STEM/543baf86c9ac45e7adc4e71b74f94044.png?resizew=28)
更新时间:2017-09-14 11:09:11
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名校
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