如图,在矩形ABCO中,O为坐标原点,B的坐标为（8,6）,A、C分别在坐标轴上,P是线段BC上的动点,设PC＝m；已知点D在第一象限,且是两直线y1＝2x＋6、y2＝2x－6中某条上的一点,若△APD是等腰Rt△,则点D的

如图,在矩形ABCO中,O为坐标原点,B的坐标为（8,6）,A、C分别在坐标轴上,P是线段BC上的动点,设PC＝m；已知点D在第一象限,且是两直线y1＝2x＋6、y2＝2x－6中某条上的一点,若△APD是等腰Rt△,则点D的
如图,在矩形ABCO中,O为坐标原点,B的坐标为（8,6）,A、C分别在坐标轴上,P是线段BC上的动点,设PC＝m；已知点D在第一象限,且是两直线y1＝2x＋6、y2＝2x－6中某条上的一点,若△APD是等腰Rt△,则点D的坐标为------------- .
三分之二十 三分之二十二 这个答案好像不对 参考答案里的是三分之四十 三分之二十六

如图,在矩形ABCO中,O为坐标原点,B的坐标为（8,6）,A、C分别在坐标轴上,P是线段BC上的动点,设PC＝m；已知点D在第一象限,且是两直线y1＝2x＋6、y2＝2x－6中某条上的一点,若△APD是等腰Rt△,则点D的
易知：A（0,6）,C（8,0）,AB=8,OA=BC=6；
则点A正好位于直线y=2x+6上；
（1）当点D位于直线y=2x+6上时,分三种情况：
①点P为直角顶点,结合图形,显然此时点D位于第四象限,不合题意；
②点D为直角顶点,那么∠DAP=45°,结合图形可知：∠DAB＞45°,
而点P位于线段BC上,故不存在这样的等腰直角三角形；
③点A为直角顶点,如图；
过D作DE⊥y轴于E,则△ADE≌△APB,得：AE=AB=8；
即点D的纵坐标为：14,代入y=2x+6中,可求得
点D（4,14）；
（2）当点D位于直线y=2x-6上时,分三种情况：
①点A为直角顶点,结合图形可知,此种情况显然不合题意；
②点D为直角顶点,分两种情况：
1、点D在矩形AOCB的内部时,设D（x,2x-6）；
则OE=2x-6,AE=6-（2x-6）=12-2x,DF=EF-DE=8-x；
过D作x轴的平行线EF,交直线OA于E,交直线BC于F；
则△ADE≌△DPF,得DF=AE,即：
12-2x=8-x,x=4；
∴D（4,2）；
2、点D在矩形AOCB的外部时,设D（x,2x-6）；
则OE=2x-6,AE=OE-OA=2x-6-6=2x-12,DF=EF-DE=8-x；
同1可知：△ADE≌△DPF⇒AE=DF,即：
2x-12=8-x,x= ；
∴D（ , ）；
③点P为直角顶点,显然此时点D位于矩形AOCB的外部；
设点D（x,2x-6）,则CF=2x-6,BF=2x-6-6=2x-12；
易证得△APB≌△PDF,得：
AB=PF=8,PB=DF=x-8；
故BF=PF-PB=8-（x-8）=16-x；
联立两个表示BF的式子可得：
2x-12=16-x,即x= ；
∴D（ , ）；
综合上面六种情况可得：存在符合条件的等腰直角三角形；
且D点的坐标为：（4,14）、（4,2）、（ , ）、（ , ）．

"Fashion is changing, and the ideas of young people is changing. So on brand speaking, to keep pace with The Times, such as I had and Usher? Jay - z such musicians cooperation. I have for Jay - z desi...

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"Fashion is changing, and the ideas of young people is changing. So on brand speaking, to keep pace with The Times, such as I had and Usher? Jay - z such musicians cooperation. I have for Jay - z design him at MTV ceremony dress. Usually once thought of a rap singer modelling, you often think of the wide trousers, basketball shoes,ugg mens kids, but now the rap singer can no longer so labeled, Usher....... Is a very fashionable idols that depth." Massimiliano observed the younger generation of change. He and management all think men's clothing market still large space,mbt fanaka Salvatore Ferragamo Massimiliano joined, can put image reconstruction more younger, still keep classic status. "Young people no longer just like jeans and sneakers,tiffany charms, and for a jacket and tie them more interested in 20 years ago, of course, is not popular jackets and ties. Young people in money, not just to can only wear a season of t-shirts interested, they need to be able to wear a few season's classic clothing, when you buy a great clothes,LV unlisted watercolor handbags exposure , can actually happened put on for several years,clarks womens smart The role of the designer has 2,ugg classic mini, and then through different kinds of accessories, to give these clothes quarterly new feeling, such as different colour is... not quarterly present completely different trend, when you bought a very expensive clothes, certainly don't want the next season and immediately obsolete. Especially in men's border, the balance is very important, on the one hand, can wear sex, on the other hand is fresh and cool. Not only for men's fashion show and exist,sennheiser, is for real life."
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具体的没有计算
希望以下计算方法对你有帮助
有PC距离可以知道点P坐标为（8，m）
得出点A于点P之间的距离(当然，肯定不会是阿拉伯数字，绝对带有m)
由此可以得出AP连线的垂直平分线的函数
在联合点D的函数式我想应该就可以解出点D的坐标了...

全部展开

具体的没有计算
希望以下计算方法对你有帮助
有PC距离可以知道点P坐标为（8，m）
得出点A于点P之间的距离(当然，肯定不会是阿拉伯数字，绝对带有m)
由此可以得出AP连线的垂直平分线的函数
在联合点D的函数式我想应该就可以解出点D的坐标了

收起