反比例函数y=c/x,直角坐标上有点G(10/c,10/c),S(4/c,-2/c),H(-2/c,4/c),(c>0),P为反比例函数上一点,问c为何值时,GSHP为平行四边形,并求出所有P点坐标.
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![反比例函数y=c/x,直角坐标上有点G(10/c,10/c),S(4/c,-2/c),H(-2/c,4/c),(c>0),P为反比例函数上一点,问c为何值时,GSHP为平行四边形,并求出所有P点坐标.](/uploads/image/z/5198585-41-5.jpg?t=%E5%8F%8D%E6%AF%94%E4%BE%8B%E5%87%BD%E6%95%B0y%3Dc%2Fx%2C%E7%9B%B4%E8%A7%92%E5%9D%90%E6%A0%87%E4%B8%8A%E6%9C%89%E7%82%B9G%2810%2Fc%2C10%2Fc%29%2CS%284%2Fc%2C-2%2Fc%29%2CH%28-2%2Fc%2C4%2Fc%29%2C%28c%3E0%29%2CP%E4%B8%BA%E5%8F%8D%E6%AF%94%E4%BE%8B%E5%87%BD%E6%95%B0%E4%B8%8A%E4%B8%80%E7%82%B9%2C%E9%97%AEc%E4%B8%BA%E4%BD%95%E5%80%BC%E6%97%B6%2CGSHP%E4%B8%BA%E5%B9%B3%E8%A1%8C%E5%9B%9B%E8%BE%B9%E5%BD%A2%2C%E5%B9%B6%E6%B1%82%E5%87%BA%E6%89%80%E6%9C%89P%E7%82%B9%E5%9D%90%E6%A0%87.)
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反比例函数y=c/x,直角坐标上有点G(10/c,10/c),S(4/c,-2/c),H(-2/c,4/c),(c>0),P为反比例函数上一点,问c为何值时,GSHP为平行四边形,并求出所有P点坐标.
反比例函数y=c/x,直角坐标上有点G(10/c,10/c),S(4/c,-2/c),H(-2/c,4/c),(c>0),P为反比例函数上一点,问c为何值时,GSHP为平行四边形,并求出所有P点坐标.
反比例函数y=c/x,直角坐标上有点G(10/c,10/c),S(4/c,-2/c),H(-2/c,4/c),(c>0),P为反比例函数上一点,问c为何值时,GSHP为平行四边形,并求出所有P点坐标.
设P点坐标为(x,y)
10/c-2/c=4/c+x
10/c+4/c=-c/2+y
解得:
x=4/c
y=16/c
因为xy=c
所以64/c^2=c
c=4
点P坐标为(1,4)