【正文】
aaaaaa?????? )1)((1 2121212 xxxxxxaaaaaaaa??????01,10 2 ????? a aa?0, 212121 ?????? xxxx aaaaxx?01,0,0212121 ???????xxxxxxaaaaaa?0)()( 21 ??? xfxf上為增函數(shù)。在即 R)()()( 21 xfxfxf ??的單調(diào)性,并求值域。判斷的表達(dá)式求的面積為記分別為的橫坐標(biāo)是圖像上三點(diǎn),這三點(diǎn)已知函數(shù))()2()(S)1(,SMNP),1(42P,N,M,afafa,aa , axy??????y x O 1 a a+2 a+4 M N P M (a, lga) N (a+2, lg(a+2)) P (a+4, lg(a+4)) y x O 1 A a B a+2 C a+4 M N P S=SMABN + SBCPN SACPM 4)]4l g ([l g212)]4l g ()2[l g (212)]2l g ([l g21 ????????????? aaaaaa)4()2(lg 2???aaa (a1) 22212122221212122224444)4()2()4()2(,14aa414aa44aa)4a(a)2a()2(1aaaaaaaaaaaa????????????????????則取)4)(4()4(44222121121222aaaaaaaa???????0)4)(4( )4)((4)4)(4( 4442221211212222121122122 ??????????????aaaaaaaaaaaaaaaa,0)4()2()4()2(22221211???????aaaaaa 上是增函數(shù),在 ),0(lg ??? ay?,)4()2(lg)4()2(lg22221211??????aaaaaa上單調(diào)遞減。在,即),1()()()( 21????afafaf