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#7caedd0d-e6ac-4e4b-9231-390ca0d2f2bc中等fill_compute导数压轴题常见模型导数及其应用

22.(2023•重庆模拟)已知函数f(x)=ex2ax1f(x)=e^{x}-2ax-1在区间(1,1)(-1,1)内存在极值点,且f(x)<0f(x)<0RR上恰好有唯一整数解,则实数aa的取值范围是 ___[1414e2,1212e)(e12,e2)[\frac{1}{4}-\frac{1}{4{e}^{2}},\frac{1}{2}-\frac{1}{2e})\bigcup (\frac{e-1}{2},\frac{e}{2})___.