题目内容
若命题“?x∈R,使得x2+(a-1)x+1<0”否定是
?x∈R,使得x2+(a-1)x+1≥0
?x∈R,使得x2+(a-1)x+1≥0
.分析:本题中的命题是一个特称命题,其否定是全称命题,依据特称命题的否定书写形式写出命题的否定即可
解答:解:∵命题“?x∈R,使得x2+(a-1)x+1<0”
∴命题的否定是“?x∈R,使得x2+(a-1)x+1≥0”
故答案为:?x∈R,使得x2+(a-1)x+1≥0.
∴命题的否定是“?x∈R,使得x2+(a-1)x+1≥0”
故答案为:?x∈R,使得x2+(a-1)x+1≥0.
点评:本题考查命题的否定,解题的关键是掌握并理解命题否定的书写方法规则,注意量词的变化,结论的否定
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