22.已知函数f(x)=x2+2mx−4f(x)=x^{2}+2mx-4f(x)=x2+2mx−4在区间[−1[-1[−1,2]2]2]上是单调函数 (1)求实数mmm的所有取值组成的集合AAA; (2)试写出f(x)f(x)f(x)在区间[−1[-1[−1,2]2]2]上的最大值g(m)g(m)g(m); (3)设h(x)=−12x2+3h(x)=-\frac{1}{2}{x^2}+3h(x)=−21x2+3,令F(m)={g(m),m∈Ah(m),m∈∁RAF(m)=\left\{\begin{array}{l}{g(m),m\in A}\\ {h(m),m\in {\complement }_{R}A}\end{array}\right.F(m)={g(m),m∈Ah(m),m∈∁RA,对任意m1,m2∈[−72,a]{m_1},{m_2}\in [{-\frac{7}{2},a}]m1,m2∈[−27,a],都有∣F(m1)−F(m2)∣⩽a+3\vert F(m_{1})-F(m_{2})\vert \leqslant a+3∣F(m1)−F(m2)∣⩽a+3成立,求实数aaa的取值范围.