设函数f(x)=e^x+sinx,g(x)=ax,F(x)=f(x)-g(x)(1)若x=0是F(x)=f(x)-g(x)的极值点,求a的值(2)当a=1时,设p(x1,f(x1)),Q(x2,g(x2))x1,x2大于零,且PQ//x轴,求PQ两点间的最短距离(3)若x>=0时,函数y=F(x)的图像
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![设函数f(x)=e^x+sinx,g(x)=ax,F(x)=f(x)-g(x)(1)若x=0是F(x)=f(x)-g(x)的极值点,求a的值(2)当a=1时,设p(x1,f(x1)),Q(x2,g(x2))x1,x2大于零,且PQ//x轴,求PQ两点间的最短距离(3)若x>=0时,函数y=F(x)的图像](/uploads/image/z/5218679-47-9.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3De%5Ex%2Bsinx%2Cg%28x%29%3Dax%2CF%28x%29%3Df%28x%29-g%28x%29%281%29%E8%8B%A5x%3D0%E6%98%AFF%28x%29%3Df%28x%29-g%28x%29%E7%9A%84%E6%9E%81%E5%80%BC%E7%82%B9%2C%E6%B1%82a%E7%9A%84%E5%80%BC%282%29%E5%BD%93a%3D1%E6%97%B6%2C%E8%AE%BEp%EF%BC%88x1%2Cf%EF%BC%88x1%EF%BC%89%EF%BC%89%2CQ%EF%BC%88x2%2Cg%EF%BC%88x2%EF%BC%89%EF%BC%89x1%2Cx2%E5%A4%A7%E4%BA%8E%E9%9B%B6%2C%E4%B8%94PQ%2F%2Fx%E8%BD%B4%2C%E6%B1%82PQ%E4%B8%A4%E7%82%B9%E9%97%B4%E7%9A%84%E6%9C%80%E7%9F%AD%E8%B7%9D%E7%A6%BB%EF%BC%883%EF%BC%89%E8%8B%A5x%3E%3D0%E6%97%B6%2C%E5%87%BD%E6%95%B0y%3DF%EF%BC%88x%EF%BC%89%E7%9A%84%E5%9B%BE%E5%83%8F)
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