(2011?桂林模拟)函数y=tan(π4x?π2)的部分图象如图所示,则(OA+OB)?AB=(  )A.4B.6C.1D.

2025-06-27 15:23:11
推荐回答(1个)
回答1:

因为y=tan(

π
4
x-
π
2
)=0?
π
4
x-
π
2
=kπ?x=4k+2,由图得x=2;故A(2,0)
由y=tan(
π
4
x?
π
2
)=1?
π
4
x-
π
2
=kπ+
π
4
?x=4k+3,由图得x=3,故B(3,1)
所以
0A
+
OB
=(5,1),
AB
=(1,1).
∴(
OA
+
OB
?
AB
=5×1+1×1=6.
故选  B.