設(shè)函數(shù)f(x)在R上是偶函數(shù),在區(qū)間(-∞,0)上遞增,且f(a+1)
設(shè)函數(shù)f(x)在R上是偶函數(shù),在區(qū)間(-∞,0)上遞增,且f(a+1)
優(yōu)質(zhì)解答
由“函數(shù)f(x)在R上是偶函數(shù),在區(qū)間(-∞,0)上遞增”得出
對(duì)稱軸為x=0 ,且在區(qū)間(0,+∞)上遞減.
又“f(a+1)從而轉(zhuǎn)化為距離問(wèn)題,進(jìn)一步用數(shù)學(xué)表示為絕對(duì)值不等式問(wèn)題
即/a+1/>/-2a+3/
解不等式得2/3