∠BAC=90度 AD⊥BC
AD=y 當x,z為最簡整數比時 y=?
A
╱﹨
2x ╱ ﹨ z
╱ ﹨
╱ ﹨
╱ z x ﹨
Ｂ────Ｄ──Ｃ
小明這麼寫了
(1) z^2=x^2+y^2
(2) 4x^2=z^2+y^2 (1)(2)=>3x^2=2y^2..(4)
(3) (x+z)^2=z^2+4x^2
x^2+2xz+z^2=z^2+4x^2
3x^2=2xz
3x=2z
x=2 z=3
(4)=> y=√6...代回(1)卻錯了
請問問題出在哪裡?
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※ 編輯: EIORU 來自: 125.229.164.143 (12/13 01:46)
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