2011届高考数学单元练习及解析简单的逻辑联结词、全称量词与存在量词(Exercises and analysis of the 2011 college entrance examination mathematics unit simple logical connectives, full name quantifiers and existential quantifiers).docVIP
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2011届高考数学单元练习及解析简单的逻辑联结词、全称量词与存在量词(Exercises and analysis of the 2011 college entrance examination mathematics unit simple logical connectives, full name quantifiers and existential quantifiers)
2011届高考数学单元练习及解析简单的逻辑联结词、全称量词与存在量词(Exercises and analysis of the 2011 college entrance examination mathematics unit simple logical connectives, full name quantifiers and existential quantifiers) Simple logical connectives, quantifier and existential quantifier A group of questions With logical connectives proposition judgment 1. P, q is a simple proposition, P and Q P or q is false false () A. is necessary but not sufficient condition B. necessary sufficient condition C. necessary and sufficient condition of D. is neither sufficient nor necessary conditions Analysis: P and Q is false, namely P and Q in at least one false; P or q is false, namely P and Q are false. Answer: A The following proposition in 2. groups, to meet the p or qis true,p and q is false, p is true (is) A.p:0; q:0 =?? B.p: in ABC, if cos2A = cos2B, A = B; q:y = SiNx in the first quadrant is increasing function C.p:a + B = 2 (a, B, R); Q: |x| x inequalities and the solution set is (- -, 0) D.p: round (X1) 2 (Y2) 2 = 1 x = 1 straight line area is divided; q:? X in {1, 1,0}, 2x1 0 Analysis: to meet thep or qis true,p and q is false, p is true, then p is a false proposition, proposition q is true.A P is a false proposition, proposition q is false; B P is true, q is a false proposition; C P is false proposition q is true proposition; D P is true, q is a false proposition. Answer: C Proposition 3. p:{2} in {1,2,3}, q:{2}? {1,2,3}, the following proposition: judge P or q is true or false; the p q; the P and Q is true; the P and Q is false; the non P is true; the non Q is false. The judgment of the correct number is (fill. Do you think all the correct number) Analysis: p:{2} in {1,2,3}, q:{2} {1,2,3}, p q is really false? 1 4 5 6, so right. Answer: 1. 4 5 6 The group of two Full (special) proposition and judgment 4. (2009 Zhejiang college entrance examination) if the function f (x) = X2 (a, R), then the following conclusion is true () A.? A, R, f (x) in (0, + infinity) is increasing function B.? A, R, f
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