已知函数y=Asin(ωx+φ)(A>0,ω>0,绝对值φ
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![已知函数y=Asin(ωx+φ)(A>0,ω>0,绝对值φ](/uploads/image/z/3011456-56-6.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0y%3DAsin%EF%BC%88%CF%89x%2B%CF%86%EF%BC%89%EF%BC%88A%3E0%2C%CF%89%3E0%2C%E7%BB%9D%E5%AF%B9%E5%80%BC%CF%86)
已知函数y=Asin(ωx+φ)(A>0,ω>0,绝对值φ
已知函数y=Asin(ωx+φ)(A>0,ω>0,绝对值φ
已知函数y=Asin(ωx+φ)(A>0,ω>0,绝对值φ
由图可知,A=3
由于当x=π/6时,y=3,当x=7π/12时,y=0
因此(-π/6)*ω+φ=π/2,(7π/12)*ω+φ=2π,
解得ω=2,φ=5π/6
由题意可知A=3,T=43(
7π12+
π6)=π,ω=2,当x=-
π6时取得最大值3,所以 3=3sin(2x+φ),所以φ=56π
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