已知Rt△ABC的斜边长为25，两直角边的长正好是不等式组2x−7≥x+515x＜16x+1的两个整数解，则两直角边的长分别为和．

Question

2x−7≥x+5

(1)/(5)x＜(1)/(6)x+1

的两个整数解，则两直角边的长分别为______和______．

2x−7≥x+5

(1)/(5)x＜(1)/(6)x+1

2x−7≥x+5

(1)/(5)x＜(1)/(6)x+1

2x−7≥x+5

(1)/(5)x＜(1)/(6)x+1

2x−7≥x+5

(1)/(5)x＜(1)/(6)x+1

2x−7≥x+52x−7≥x+5(1)/(5)x＜(1)/(6)x+1(1)/(5)x＜(1)/(6)x+1(1)/(5)1155(1)/(6)1166

Answer 1

解不等式组2x−7≥x+515x＜ 16x+1得x≥12x＜30，即12≤x＜30．设三角形两直角边分别为x1，x2且x1＜x2．则由直角三角形性质可知x1＜x2＜25．且x12+x22=252①．又∵x1，x2均为原不等式组的特殊解．∴其取值范围为...