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高一集合题.S={x|x2-3x+2=0},T={a|x2-2x-a=0,x属于R,a属于R}求S交T.
人气:411 ℃ 时间:2020-06-02 22:13:39
解答
S={x |x^2-3x+2=0},
={ x| (x-1)(x-2)=0 }
={ 1,2}
T={a|x2-2x-a=0,x∈R,a∈R}
if a=1
x2-2x-1=0
△ = 4+4 = 8 >0
real roots
=> 1 ∈ T
if a=2
x2-2x-2=0
△ = 4+ 8 = 12 >0
real roots
=> 2 ∈ T
1,2∈ T and S={1,2}
=> S∩ T = {1,2} #
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