已知二次函数f(x)=ax^2+bx+1,对于任意实数x1,x2(x1≠x2)都有1/2[f(x1)+f(x2)]>f[1/2(x1+x2)]成立,且f(x+2)为偶函数(1)求a取值范围(2)求函数y=f(x)在[a,a+2]上的值域(3)定义区间[m,n]的长度为n-m.是否存在常数a使
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/13 15:06:48
![已知二次函数f(x)=ax^2+bx+1,对于任意实数x1,x2(x1≠x2)都有1/2[f(x1)+f(x2)]>f[1/2(x1+x2)]成立,且f(x+2)为偶函数(1)求a取值范围(2)求函数y=f(x)在[a,a+2]上的值域(3)定义区间[m,n]的长度为n-m.是否存在常数a使](/uploads/image/z/3997831-31-1.jpg?t=%E5%B7%B2%E7%9F%A5%E4%BA%8C%E6%AC%A1%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3Dax%5E2%2Bbx%2B1%2C%E5%AF%B9%E4%BA%8E%E4%BB%BB%E6%84%8F%E5%AE%9E%E6%95%B0x1%2Cx2%28x1%E2%89%A0x2%29%E9%83%BD%E6%9C%891%2F2%5Bf%28x1%29%2Bf%28x2%29%5D%3Ef%5B1%2F2%28x1%2Bx2%29%5D%E6%88%90%E7%AB%8B%2C%E4%B8%94f%28x%2B2%29%E4%B8%BA%E5%81%B6%E5%87%BD%E6%95%B0%281%29%E6%B1%82a%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%282%29%E6%B1%82%E5%87%BD%E6%95%B0y%3Df%28x%29%E5%9C%A8%5Ba%2Ca%2B2%5D%E4%B8%8A%E7%9A%84%E5%80%BC%E5%9F%9F%283%29%E5%AE%9A%E4%B9%89%E5%8C%BA%E9%97%B4%5Bm%2Cn%5D%E7%9A%84%E9%95%BF%E5%BA%A6%E4%B8%BAn-m.%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E5%B8%B8%E6%95%B0a%E4%BD%BF)
xTMOQ+ɼfpX/$;i7c&Xb~`ZS[-}+BH1#]7{9{ߋ,{\vYlX]7FRWE#Pk9ma\ЈKϜ<\뱣)
D,yq]*mXm
JI7kPlH:Jpt*z±u,c),@=kR-+ȱ.~
`ۈHmdyid"nG[7{8F$1{T4D˱U7"^+"!ȭhuF=dy̷`^-˝'H:3އh