答:
f(x)=(logax)^2-2logax
=(logax-1)^2-1
在[1/2,2]上是減函數(shù)
f(t)=(t-1)^2-1在t1時(shí)是增函數(shù)
logax在01時(shí),f(t)是減函數(shù),logax=2
若函數(shù)f(x)=(logax)^2-2logax(a>0且a≠1)在區(qū)間[1/2,2]上為減函數(shù),則實(shí)數(shù)a的取值范圍是
若函數(shù)f(x)=(logax)^2-2logax(a>0且a≠1)在區(qū)間[1/2,2]上為減函數(shù),則實(shí)數(shù)a的取值范圍是
數(shù)學(xué)人氣:721 ℃時(shí)間:2019-09-18 01:57:49
優(yōu)質(zhì)解答
我來(lái)回答
類似推薦
- 【緊急求助】已知函數(shù)f(x)=logaX+a-x(a>0且a≠1)有兩個(gè)零點(diǎn),則實(shí)數(shù)a的取值范圍是多少.
- 函數(shù)y=f(x)(x為實(shí)數(shù))的圖象如下圖所示,則函數(shù)g(x)=f(logax)(0
- 若函數(shù)f(x)=loga(2-logax)在[1/4,4]上單調(diào)遞減,則正實(shí)數(shù)a的取值范圍是_.
- 已知函數(shù)f(x)=(a?2)x?1,x≤1logax,x>1若f(x)在(-∞,+∞)上單調(diào)遞增,則實(shí)數(shù)a的取值范圍為_(kāi).
- 若函數(shù)f(x)=logax在[2,+∞)上恒有f(x)>1,則實(shí)數(shù)a的取值范圍是_____
- 一元一次方程x2+(2m-1)x+m2=0,有兩個(gè)實(shí)數(shù)根x1,x2 (1)求實(shí)數(shù)m的取值范圍 (2)當(dāng)x12-x22=0時(shí),求m
- 城市污染對(duì)人類有何危害
- ______ a lot of books,the boy knows much more than the boys of his age.
- Lucy often does her homework at school改為一般疑問(wèn)句
- 我父親似乎很高興.My father ___ ___ ____ happy.
- much to 和 many 區(qū)別
- You are my little little apple~誰(shuí)會(huì)翻譯吶
猜你喜歡
- 1描寫(xiě)霧海 的四字詞語(yǔ)
- 2填空1:he always gets to school by s( ).2:it is ten minutes h( ) from my home to school
- 3我國(guó)唯一注入北冰洋的河流是哪條河流
- 4就是做題時(shí)候在化學(xué)式下方量的書(shū)寫(xiě)方法.1:1的含義、
- 5將50mL4mol/L的AlCl3溶液與4mol/L的NaOH溶液反應(yīng)后得沉淀7.8g,所消耗NaOH溶液的體積為多少mL?
- 6幾個(gè)數(shù)的最大公因數(shù)是最小公倍數(shù)的()數(shù),幾個(gè)數(shù)的最小公倍數(shù)是最大公因數(shù)的()數(shù)
- 7需要英語(yǔ)的春節(jié)短語(yǔ)!
- 8酸根離子指什么?
- 9求解軌跡問(wèn)題
- 10設(shè)f(x)=ax^2+bx+c(a≠0) ; 若f(x+1)=f(-x),求證-b/2a=1
- 11英語(yǔ)翻譯
- 12怎么做啊?要過(guò)程.某電視機(jī)廠某型號(hào)電視比去年增產(chǎn)40%,實(shí)際比計(jì)劃多生產(chǎn)20%,此型號(hào)電視今年實(shí)際產(chǎn)量是去年的( )%?