已知集合A={x|x²-mx+m²-7=0},B={x|x²-3x+2=0},C={x|x²+4x-5=0},满足A∩B≠∅且A∩C=∅,求实数m值绿色数学讲义P2(13):
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/21 04:37:25
![已知集合A={x|x²-mx+m²-7=0},B={x|x²-3x+2=0},C={x|x²+4x-5=0},满足A∩B≠∅且A∩C=∅,求实数m值绿色数学讲义P2(13):](/uploads/image/z/9450354-66-4.jpg?t=%E5%B7%B2%E7%9F%A5%E9%9B%86%E5%90%88A%3D%7Bx%7Cx%26%23178%3B-mx%2Bm%26%23178%3B-7%3D0%7D%2CB%3D%7Bx%7Cx%26%23178%3B-3x%2B2%3D0%7D%2CC%3D%7Bx%7Cx%26%23178%3B%2B4x-5%3D0%7D%2C%E6%BB%A1%E8%B6%B3A%E2%88%A9B%E2%89%A0%26%238709%3B%E4%B8%94A%E2%88%A9C%3D%26%238709%3B%2C%E6%B1%82%E5%AE%9E%E6%95%B0m%E5%80%BC%E7%BB%BF%E8%89%B2%E6%95%B0%E5%AD%A6%E8%AE%B2%E4%B9%89P2%EF%BC%8813%EF%BC%89%EF%BC%9A)
已知集合A={x|x²-mx+m²-7=0},B={x|x²-3x+2=0},C={x|x²+4x-5=0},满足A∩B≠∅且A∩C=∅,求实数m值绿色数学讲义P2(13):
已知集合A={x|x²-mx+m²-7=0},B={x|x²-3x+2=0},C={x|x²+4x-5=0},
满足A∩B≠∅且A∩C=∅,求实数m值
绿色数学讲义P2(13):
已知集合A={x|x²-mx+m²-7=0},B={x|x²-3x+2=0},C={x|x²+4x-5=0},满足A∩B≠∅且A∩C=∅,求实数m值绿色数学讲义P2(13):
B={x|x=1或x=2},C={x|x=1或x=-5},
将x=1或x=2分别代入x²-mx+m²-7=0中,得m=-2或m=3或m=-1;
将x=1或x=-5分别代入x²-mx+m²-7≠0中,得m≠-2且m≠3
综上,m=-1