平行四边形ABCD的AB长24CMP点以每秒2CM的速度从A点出发到D点,(不包括D点),
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发布时间:2022-05-19 21:52
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热心网友
时间:2023-10-18 15:35
解决方案:
因为四边形ABCD中,AD平行BC,AD = 15,BC = 25,AB = DC = 10
所以四边形ABCD是等腰梯形 / P>
过A,D为高梯形AE,DF,
请易得:H AE梯形=√(10 ^ 2-5 ^ 2)= 5√3 P>易知:PD = t时,AP = 15吨,CQ =2吨
(1)
因为T = 2
所以AP = AD-PD = 15-2 = 13
所以S△APQ = 1/2AP * AE = 13 * 5√3/2
= 65√3/2
(2)
因为AP∥PQ
因此,当AP = BQ,四边形ABQP平行四边形,
所以有15吨= 25-2T
解得t = 10
(3)在垂直的 P代表BC
可根据勾股定理得到:
AQ ^ 2 =(20-2T)^ 2 75(或AQ ^ 2 =(2T-20)^ 2 75)
PQ ^ 2 =(5 - 叔)^ 2 +75(或PQ ^ 2 =(T-5)^ 2 +75)
和AP = 15-T
①当AQ = PQ时间
有(20-2T)^ 2 75 =(5 - 叔)^ 2 75
溶液为:T = 25/3(T = 10子标题的含义,四舍五入)
②当PA = PQ时
有(15-T)^ 2 =(T-5)^ 2 +75
解得t = 25/4号 / P>
③时PA = AQ
有(15-T)^ 2 =(2T-20)^ 2 75
整理3吨^ 2-50T +250 = 0
显然△<0,无解
所以当T = 25/3或T = 25/4号时,
为A, P,Q为三角形的三个顶点的等腰三角形
仅供参考! JSWYC
的 ”http://c。 hiphotos.baidu.com /志道/ WH%3D450%2C600/sign = bb6e6ab6a144ad342eea8f83e59220c2/0bd162d9f2d3572c3b9254878a13632762d0c37d.jpg“/ A>
参考文献:
http://hi.baidu.com/jswyc/blog/item/d68ec5c5d2744cb28226ac81.html
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时间:2023-10-18 15:36
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