函数f(x)=2x^3/x+1,x∈(1/2,1],f(x)=-1/3x+1/6,x∈[0,1/2],函数g(x)=asin(π/6x)-2a+2(a>0)函数g(x)=asin(π/6x)-2a+2(a>0) 若存在x1,x2∈[0,1],使得f(x1)=g(x2)成立,则实数a的取值范围是()A.[1/2,4/3] B.(0,1/2] C.[2/3,4/3] D.[1/2,1]
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/03 12:49:33
![函数f(x)=2x^3/x+1,x∈(1/2,1],f(x)=-1/3x+1/6,x∈[0,1/2],函数g(x)=asin(π/6x)-2a+2(a>0)函数g(x)=asin(π/6x)-2a+2(a>0) 若存在x1,x2∈[0,1],使得f(x1)=g(x2)成立,则实数a的取值范围是()A.[1/2,4/3] B.(0,1/2] C.[2/3,4/3] D.[1/2,1]](/uploads/image/z/2545750-46-0.jpg?t=%E5%87%BD%E6%95%B0f%28x%29%3D2x%5E3%2Fx%2B1%2Cx%E2%88%88%281%2F2%2C1%5D%2Cf%28x%29%3D-1%2F3x%2B1%2F6%2Cx%E2%88%88%5B0%2C1%2F2%5D%2C%E5%87%BD%E6%95%B0g%28x%29%3Dasin%28%CF%80%2F6x%29-2a%2B2%28a%3E0%29%E5%87%BD%E6%95%B0g%28x%29%3Dasin%28%CF%80%2F6x%29-2a%2B2%28a%3E0%29+%E8%8B%A5%E5%AD%98%E5%9C%A8x1%2Cx2%E2%88%88%5B0%2C1%5D%2C%E4%BD%BF%E5%BE%97f%28x1%29%3Dg%28x2%29%E6%88%90%E7%AB%8B%2C%E5%88%99%E5%AE%9E%E6%95%B0a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%E6%98%AF%EF%BC%88%EF%BC%89A.%5B1%2F2%2C4%2F3%5D++B.%280%2C1%2F2%5D+C.%5B2%2F3%2C4%2F3%5D+D.%5B1%2F2%2C1%5D)
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