Question

如图数轴上表示1,√2的点分别为A,B,点B到点A的距离与点C到点O的距离相等,设点C所表示的实数为x.

Answer 1

(1)

AB = √2 - 1

|x - 0| = |x| = √2 - 1

x = √2 - 1

或

x = 1 - √2

(2)原式表示BC²

(a) x = √2 - 1 > 0,

BC = √2 - (√2 - 1) = 1

原式 = 1

(b) x = 1 - √2