若定义在[0,1]上的函数f(x)同时满足:①f(x)≥0;②f(1)=1;③若x1≥0,x2≥0且x1+x2≤1,则f(x1+x2)≥f(x1)+f(x2)成立.则称函数f(x)为“梦函数\”.(1)试验证f(x)=2x-1在区间[0,1]
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![若定义在[0,1]上的函数f(x)同时满足:①f(x)≥0;②f(1)=1;③若x1≥0,x2≥0且x1+x2≤1,则f(x1+x2)≥f(x1)+f(x2)成立.则称函数f(x)为“梦函数\”.(1)试验证f(x)=2x-1在区间[0,1]](/uploads/image/z/13114817-17-7.jpg?t=%E8%8B%A5%E5%AE%9A%E4%B9%89%E5%9C%A8%5B0%2C1%5D%E4%B8%8A%E7%9A%84%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%E5%90%8C%E6%97%B6%E6%BB%A1%E8%B6%B3%EF%BC%9A%E2%91%A0f%EF%BC%88x%EF%BC%89%E2%89%A50%EF%BC%9B%E2%91%A1f%EF%BC%881%EF%BC%89%3D1%EF%BC%9B%E2%91%A2%E8%8B%A5x1%E2%89%A50%2Cx2%E2%89%A50%E4%B8%94x1%2Bx2%E2%89%A41%2C%E5%88%99f%EF%BC%88x1%2Bx2%EF%BC%89%E2%89%A5f%EF%BC%88x1%EF%BC%89%2Bf%EF%BC%88x2%EF%BC%89%E6%88%90%E7%AB%8B%EF%BC%8E%E5%88%99%E7%A7%B0%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%E4%B8%BA%E2%80%9C%E6%A2%A6%E5%87%BD%E6%95%B0%5C%E2%80%9D%EF%BC%8E%EF%BC%881%EF%BC%89%E8%AF%95%E9%AA%8C%E8%AF%81f%EF%BC%88x%EF%BC%89%3D2x-1%E5%9C%A8%E5%8C%BA%E9%97%B4%5B0%2C1%5D)
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