① 1025²-1203×1207
=1025²-(1205-2)×(1205+2)
=1025²-(1025²-4)
=1025²-1025²+4
=4
② 设 a²+b²+c²-ab-bc-ac= y
两边同×2,得
2a²+2b²+2c²-2ab-2bc-2ac = 2y
(a²-2ab+b²)+(b²-2bc+c²)+(a²-2ac+c²) = 2y
(a-b)²+(b-c)²+(a-c)² = 2y
∵a-b=-1, b-c=-1, c-a=2
∴原式 1+1+4=2y
6=2y
y=3
答:结果是3.
③ x+1 x+1 2x-3
3 × 5 = 15
x+1 2x-3
15 =15
∴ x+1 = 2x-3
4 = x
x = 4
答:x的值为4.