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A组专项基础训练时间：40分钟一、选择题1．已知集合P＝y＝x2＋1，Q＝yy＝x2＋1，R＝xy＝x2＋1，M＝x，yy＝x2＋1，N＝xx≥1，则A．P＝MC．R＝M答案D解析集合P是用列举法表示的，只含有一个元素，即函数y＝x2＋1集合Q，R，N中的元素全是数，即这三个集合都是数集，集合Q＝yy＝x2＋1＝yy≥1，集合R是一切实数．集合M的元素是函数y＝x2＋1图像上所有的点．故选D2．命题“对任意的x∈R，x3－x2＋1≤0”的否定是A．不存在x∈R，x－x＋1≤0B．存在x∈R，x3－x2＋1≤0C．存在x∈R，x3－x2＋10D．对任意的x∈R，x3－x2＋10答案C解析由已知得，对任意的x∈R，x3－x2＋1≤0，是全称命题．它的否定是特称命题，“任意的”的否定是“存在”，“≤0”的否定是“0”，故选C3．“2a2b”是“log2alog2b”的A．充分不必要条件B．必要不充分条件C．充要条件D．既不充分也不必要条件答案B解析若2a2b，只能得到ab，但不能确定a，b的正负性，当0ab时，log2a，log2b均无意义，更不能比较其大小，从而未必有“log2alog2b”；若log2alog2b，则可得ab0，从而有2a2b成立．
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