集合M={y|y=2-绝对值X,X∈R},N={y|y=X²,X∈R|,则M∩N=

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集合M={y|y=2-绝对值X,X∈R},N={y|y=X²,X∈R|,则M∩N=
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集合M={y|y=2-绝对值X,X∈R},N={y|y=X²,X∈R|,则M∩N=
集合M={y|y=2-绝对值X,X∈R},N={y|y=X²,X∈R|,则M∩N=

集合M={y|y=2-绝对值X,X∈R},N={y|y=X²,X∈R|,则M∩N=
联立 x²+y²=1
x² - y = 0 即 x² = y ≥ 0
消x :y²+y -1 = 0
y = (-1+√5)/2 或 y = (-1-√5)/2 (小于0,舍去)
x² = (-1+√5)/2
x = ± √[ (-1+√5)/2]
M∩N = { (√[ (-1+√5)/2] ,(-1+√5)/2),(- √[ (-1+√5)/2],(-1+√5)/2)}