函数f(x)=lx-al,g(x)=x^2+2ax+1(a为正常数),且f(0)=g(0)(1)求a(2)求函数y=f(x)+g(x)的单调增区间再来一题f(x)是定义在[-1,1]上奇函数,对任意a,b属于[-1,1],当a+b不等于0时,都有f(a)+f(b)/a+b>0(1)若a>b,试比较f(a)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 15:43:44
![函数f(x)=lx-al,g(x)=x^2+2ax+1(a为正常数),且f(0)=g(0)(1)求a(2)求函数y=f(x)+g(x)的单调增区间再来一题f(x)是定义在[-1,1]上奇函数,对任意a,b属于[-1,1],当a+b不等于0时,都有f(a)+f(b)/a+b>0(1)若a>b,试比较f(a)](/uploads/image/z/13881428-44-8.jpg?t=%E5%87%BD%E6%95%B0f%28x%29%3Dlx-al%2Cg%28x%29%3Dx%5E2%2B2ax%2B1%28a%E4%B8%BA%E6%AD%A3%E5%B8%B8%E6%95%B0%EF%BC%89%2C%E4%B8%94f%280%29%3Dg%280%29%281%29%E6%B1%82a%282%29%E6%B1%82%E5%87%BD%E6%95%B0y%3Df%28x%29%2Bg%28x%29%E7%9A%84%E5%8D%95%E8%B0%83%E5%A2%9E%E5%8C%BA%E9%97%B4%E5%86%8D%E6%9D%A5%E4%B8%80%E9%A2%98f%28x%29%E6%98%AF%E5%AE%9A%E4%B9%89%E5%9C%A8%5B-1%2C1%5D%E4%B8%8A%E5%A5%87%E5%87%BD%E6%95%B0%EF%BC%8C%E5%AF%B9%E4%BB%BB%E6%84%8Fa%2Cb%E5%B1%9E%E4%BA%8E%5B-1%2C1%5D%2C%E5%BD%93a%2Bb%E4%B8%8D%E7%AD%89%E4%BA%8E0%E6%97%B6%EF%BC%8C%E9%83%BD%E6%9C%89f%28a%29%2Bf%28b%29%2Fa%2Bb%3E0%281%29%E8%8B%A5a%3Eb%2C%E8%AF%95%E6%AF%94%E8%BE%83f%28a%29)
函数f(x)=lx-al,g(x)=x^2+2ax+1(a为正常数),且f(0)=g(0)(1)求a(2)求函数y=f(x)+g(x)的单调增区间再来一题f(x)是定义在[-1,1]上奇函数,对任意a,b属于[-1,1],当a+b不等于0时,都有f(a)+f(b)/a+b>0(1)若a>b,试比较f(a)
函数f(x)=lx-al,g(x)=x^2+2ax+1(a为正常数),且f(0)=g(0)
(1)求a
(2)求函数y=f(x)+g(x)的单调增区间
再来一题
f(x)是定义在[-1,1]上奇函数,对任意a,b属于[-1,1],当a+b不等于0时,都有f(a)+f(b)/a+b>0
(1)若a>b,试比较f(a)与f(b)的大小
(2)解不等式f(3x)
函数f(x)=lx-al,g(x)=x^2+2ax+1(a为正常数),且f(0)=g(0)(1)求a(2)求函数y=f(x)+g(x)的单调增区间再来一题f(x)是定义在[-1,1]上奇函数,对任意a,b属于[-1,1],当a+b不等于0时,都有f(a)+f(b)/a+b>0(1)若a>b,试比较f(a)
f(0)=g(0)
|-a|=a
a=1
y=f(x)+g(x)
=|x-1|+x^2+2x+1
=|x-1|+(x+1)2
x>=1时,y=x^2+3x=(x+3/2)^2-9/4,增区间[1,+∞)
x
f(0)=g(0)
|-a|=a
a=1
y=f(x)+g(x)
=|x-1|+x^2+2x+1
=|x-1|+(x+1)2
x>=1时,y=x^2+3x=(x+3/2)^2-9/4,增区间[1,+∞)
x<=1时,y=x^2+x+2=(x+1/2)^2+7/4,增区间[-1/2,1]