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．、、、．、．．．、．y=fxx0Fx=fx0+x－fx0－xx＞0x＞0fx0+xfx0－xx=x0－x1＞0fx1=fx2f2x0－x1fx2fx．1fx=ex－ax+aa∈ＲxAx10、Bx20x1＜x2．1a2f'x1x槡2＜0．2f'x1x槡2＜0ex1x槡2＜ax1x槡2＜x1+x22ex1+x22＜a．1a＞e2．2f'x=ex－a=0x0=lnafx－∞lnalna+∞x1＜lna＜x2．Fx=flna+x－flna－xx＞0F'x=aex+1e()x－2a≥0Fx0+∞Fx＞F0=0flna+x＞flna－xx＞0．x=lna－x1＞0f2lna－x1＞fx1fx1=fx2f2lna－x1＞fx2．x2、2lna－x1x0=lnafxlna+∞x2＜2lna－x1ex1+x22＜aex1x槡2＜af'x1x槡2＜0．．、22010fx=xe－xx∈Ｒ．1fx2y=gxy=fxx=1x＞1fx＞gx3x1≠x2fx1=fx2x1+x2＞2．1fx－∞1=et2t－et2+e－t()2et－1et－1＞0et2＞0．ht=t－et2+e－t2h't=1－12et2+e－t()2≤0ht0+∞h0=0ht＜00+∞f'x1+x2()2＜0．．．1+∞f1=1e．2．31fx－∞11+∞x0=1f1=1e．0＜x1＜1＜x2．1gx=f2－x21+∞fx＞gxfx2＞gx2．fx1=fx2fx1＞gx2=f2－x2x12－x2x0=1fx－∞12－x2＜x1x1+x2＞2．x=x01．x0．32fx1=fx2fx1f2－x2．、fx1=fx2x1、x2x2x1=tx2－x1=tx1、x2tt．1．32011fx=lnx－ax2+2－ax．y=fxxA、BABx0f'x0＜0．Ax10、Bx200＜x1＜x2x0=x1+x22．f'x=1x－2ax+2－af'x0=f'x1+x2()2=2x1+x2－ax1+x2+2－a．A、By=fxlnx1－ax21+2－ax1=0lnx2－ax22+2－ax2=0lnx2－lnx1x2－x1－ax2+x1+2－a=0．f'x0f'x0=2x1+x2－lnx2－lnx1x2－x1．x2x1=tt＞1f'x0=2x1+tx1－lnttx1－x1=1x1t－12t－1t+1－ln[]t1x1t－1＞0．ht=2t－1t+1－lntt＞1h't=－t－12tt+12＜0hx1+∞ht＜h1=0ht＜01+∞f'x0＜0．．2．4fx=aex(－x+ba、b∈Ｒx1、x2a∈0+∞b∈Ｒf'x1+x2()2＜0．x1＜x2．x1、x2fxaex1－x1+b=0aex2－x2+b=0a=x2－x1ex2－ex1．f'x=aex－1f'x1+x2()2=x2－x1ex2－ex1ex2+x12－1．x2－x1=t＞0f'x1+x2()2=tex1+t－ex1e2x1+t2－1