∵函數(shù)f(x)=(a-2)x2+(a-1)x+3是偶函數(shù),
∴f(-x)=f(x)
∴(a-2)x2-(a-1)x+3=(a-2)x2+(a-1)x+3
∴-(a-1)=a-1,解得a=1
∴f(x)=-x2+3
∴函數(shù)f(x)的單調(diào)遞減區(qū)間為[0,+∞)
故答案為:[0,+∞).
若函數(shù)f(x)=(a-2)x2+(a-1)x+3是偶函數(shù),則函數(shù)f(x)的單調(diào)遞減區(qū)間為_.
若函數(shù)f(x)=(a-2)x2+(a-1)x+3是偶函數(shù),則函數(shù)f(x)的單調(diào)遞減區(qū)間為______.
數(shù)學人氣:518 ℃時間:2019-08-20 05:41:58
優(yōu)質(zhì)解答
我來回答
類似推薦
- 若函數(shù)f(x)=(a-2)x2+(a-1)x+3是偶函數(shù),則函數(shù)f(x)的單調(diào)遞減區(qū)間為_.
- 已知y=f(x)為偶函數(shù),且在[0,+∞)上是減函數(shù),則f(1-x2)的增函數(shù)區(qū)間為_.
- f(x)=(m-1)x2+2mx+3為偶函數(shù),則f(x)在區(qū)間(-5,-2)上是增還是減怎么判斷
- 若函數(shù)f (x)=(k-2)x2+(k-1)x+3是偶函數(shù),則f(x)的遞減區(qū)間是多少?
- 若函數(shù)f(x)=(a-2)x2+(a-1)x+3是偶函數(shù),則函數(shù)f(x)的單調(diào)遞減區(qū)間為_.
- 地暖進水管和回水管都開著,水不循環(huán)什么原因
- 培優(yōu)訓練
- "紀昌學射"```幫幫忙啊```
- 已知二次函數(shù)f(x)是偶函數(shù),且經(jīng)過點(3,6)求它的解析式.謝
- “理想很豐滿,現(xiàn)實很骨感”這句話是什么意思呀?
- it is convenient for you to do 這里for you在句中是什么結(jié)構(gòu)
- 將na2co3和nahco3混合物30克配成一升溶液,測得溶液的ph=10.62,溶液含NA2CO3幾克?
猜你喜歡
- 1問幾道小學六年級數(shù)學的題,分高.
- 2向量的運算法則
- 3did what buy food you for Daming 怎么排列順序
- 4z=1+根號3i分之-2,i為虛數(shù)單位,argz=
- 5寫兩篇關(guān)于治水金點子的作文
- 6甲乙兩人從a地到b地,甲需1小時,乙需40分鐘,若甲先出發(fā)10分鐘,則乙追上甲需用多少分鐘 要算式和講解.
- 7求翻譯一下這段內(nèi)容,謝謝!
- 8try ……on的意思
- 9but的用法之一
- 10Li Guanghua is good at playing foot.(同義句轉(zhuǎn)化)LI Guanghua is ()very ()()().
- 11______ (Much/Lots) of them can speak English quite well.
- 12雞的只數(shù)是鴨的2分之1,鵝的只數(shù)是雞的3分之1,鵝的只數(shù)為鴨的幾分之幾?