是偶函數(shù)吧?
(1)偶函數(shù),滿足f(-1)=f(1),f(-1)=1/ae+ae,f(1)=e/a+a/e
所以:1/ae+ae=e/a+a/e,即:ae-a/e=e/a-1/ae
即:a(e-1/e)=(1/a)(e-1/e)
所以:a=1/a,得:a=±1,因?yàn)閍>0,所以:a=1;
(2)由(1),f(x)=e^x+1/e^(x)
令0≦x1
設(shè)a>0,f(x)=ex /a +a/ex 在R上是由函數(shù) (1)求a的值 (2) 證明 f(x)在[ 0,+∝]上是增函數(shù)
設(shè)a>0,f(x)=ex /a +a/ex 在R上是由函數(shù) (1)求a的值 (2) 證明 f(x)在[ 0,+∝]上是增函數(shù)
數(shù)學(xué)人氣:802 ℃時(shí)間:2019-08-20 15:41:50
優(yōu)質(zhì)解答
我來(lái)回答
類似推薦
- 設(shè)a>0,f(x)=ex /a +a/ex 在R上是由函數(shù) (1)求a的值 (2) 證明 f(x)在[ 0,+∝]上是增函數(shù)
- 設(shè)a>0,f(x)=e^x/a+a/e^x是R上的偶函數(shù),1,a 的值2證明f(x)在(0,)上是增函數(shù)
- 設(shè)a>0,f(X)=e的x方/a+a/e的x方是R上的偶函數(shù).1)求a的值.2)證明f(X)在X>=0上為增函數(shù).定義在R上的
- 已知函數(shù)f(x)=a-1/2^x+1(a∈R) 1.證明函數(shù)f(x)在(-∞,∞)上是增函數(shù) 2.確定a的值,使f(x)為奇函
- 若函數(shù)f(x)=(ex-1)/(ex+1) 證明函數(shù)f(x)在區(qū)間(0,+∞)上是增函數(shù)
- 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)式下方量的書寫方法.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( )%?