题目内容
已知函数
的部分图象如图所示,则
的解析式可能为 ( )


A.![]() | B.![]() |
C.![]() | D.![]() |
A
由题意可令函数模型为y=Asin(ωx+φ),
由图形知A=2,T=4π,可得ω=
故可得y=2sin(
x+φ),
将点(
,2)代入得sin(
×
+φ)=1,故有
+φ=
∴φ=
所求函数的解析式为f(x)=2sin(
+
)
故选A
由图形知A=2,T=4π,可得ω=


将点(






所求函数的解析式为f(x)=2sin(


故选A

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