y=x+m代入椭圆方程,得:x²/4+(x+m)²/3=1整理得:7x²+8mx+4m²-12=0有两个公共点,则:△=64m²-28(4m²-12)>0 4m²-7(m²-3)>0-3m²>-21m²<7-√7所以,m的取值范围是:-√7 祝你开心!希望能帮到你,如果不懂,请追问,祝学习进步!O(∩_∩)O