2023年高考数学新高考Ⅰ-1 |
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2023-07-08 10:49:26 |
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(5分)已知集合M={−2,−1,0,1,2},N={x|x2−x−6⩾0},则M⋂N=( ) A.{−2,−1,0,1} B.{0,1,2} C.{−2} D.{2}
答案:C 分析:先把集合N表示出来,再根据交集的定义计算即可. 解:∵x2−x−6⩾0,∴(x−3)(x+2)⩾0,∴x⩾3或x⩽−2, N=(−∞,−2]⋃[3,+∞),则M⋂N={−2}. 故选:C. 点评:本题考查集合的运算,属于基础题.
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