作业帮已知函数f(x)=1+1/(x+2m)在区间(－无穷大,1]上单调递减,则实数m的取值范围...已知函数f(x)=1+1/(x+2m)在区间(－无穷大,1]上单调递减,则实数m的取值范围是＿.
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/16 13:09:12
![已知函数f(x)=1+1/(x+2m)在区间(－无穷大,1]上单调递减,则实数m的取值范围...已知函数f(x)=1+1/(x+2m)在区间(－无穷大,1]上单调递减,则实数m的取值范围是＿.](/uploads/image/z/15060612-12-2.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D1%2B1%2F%28x%2B2m%29%E5%9C%A8%E5%8C%BA%E9%97%B4%28%EF%BC%8D%E6%97%A0%E7%A9%B7%E5%A4%A7%2C1%5D%E4%B8%8A%E5%8D%95%E8%B0%83%E9%80%92%E5%87%8F%2C%E5%88%99%E5%AE%9E%E6%95%B0m%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4...%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D1%2B1%2F%28x%2B2m%29%E5%9C%A8%E5%8C%BA%E9%97%B4%28%EF%BC%8D%E6%97%A0%E7%A9%B7%E5%A4%A7%2C1%5D%E4%B8%8A%E5%8D%95%E8%B0%83%E9%80%92%E5%87%8F%2C%E5%88%99%E5%AE%9E%E6%95%B0m%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%E6%98%AF%EF%BC%BF.)
已知函数f(x)=1+1/(x+2m)在区间(－无穷大,1]上单调递减,则实数m的取值范围...已知函数f(x)=1+1/(x+2m)在区间(－无穷大,1]上单调递减,则实数m的取值范围是＿.
已知函数f(x)=1+1/(x+2m)在区间(－无穷大,1]上单调递减,则实数m的取值范围...
已知函数f(x)=1+1/(x+2m)在区间(－无穷大,1]上单调递减,则实数m的取值范围是＿.
已知函数f(x)=1+1/(x+2m)在区间(－无穷大,1]上单调递减,则实数m的取值范围...已知函数f(x)=1+1/(x+2m)在区间(－无穷大,1]上单调递减,则实数m的取值范围是＿.
求导f'(x)=-1/(x+2m)^2恒小于0,就是说f(x)在其定义域上是减函数.
要使其有意义,所以m不等于-x/2,又因为x在(－无穷大,1]上,即m