设函数 f(x)=ex+x−a (a∈Rf\left( x\right) = \sqrt{{\mathrm{e}}^{x} + x - a}\;\left( {a \in \mathrm{R}}\right.f(x)=ex+x−a(a∈R ,e 为自然对数的底数),若曲线 y=sinxy = \sin xy=sinx 上存在 (x0,y0)\left( {{x}_{0},{y}_{0}}\right)(x0,y0) 使得 f(f(y0))=y0f\left( {f\left( {y}_{0}\right) }\right) = {y}_{0}f(f(y0))=y0 ,则 aaa 的取值范围是（ ）A. [1,e]\left\lbrack {1,\mathrm{e}}\right\rbrack[1,e] B. [e−1,1]\left\lbrack {{\mathrm{e}}^{-1},1}\right\rbrack[e−1,1]C. [1,1+e]\left\lbrack {1,1 + \mathrm{e}}\right\rbrack[1,1+e] D. [e−1,e+1]\left\lbrack {{\mathrm{e}}^{-1},\mathrm{e} + 1}\right\rbrack[e−1,e+1]