问题 选择题

对于任意的两个实数对 (a,b) 和 (c,d),规定:(a,b) = (c,d)当且仅当a = cb = d;运算“Ä”为:(a,b) Ä (c,d) = (ac+bdbcad);运算“Å”为:(a,b) Å (c,d) = (a + c,b + d),设x yÎ R,若(3,4) Ä (x y) = (11,-2),则(3,4) Å (x y) =(  )

A.(4,6)

B.(4,6)

C.(2,2)

D.(5,5)

答案

答案:B

由(3,4) Ä (x y) = (11,-2)可得3 x +4 y =11且4 x-3 y =-2,解得x =1,y =2;

所以(3,4) Å (x y)=(4,6).

单项选择题
单项选择题