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新高考以能力立意的命题思想,在试题命制和试卷结构中进行了新的创新设计,下面例析在集合试题中的创新设计试题. 一、新定义型例1 设P={3,4,5},Q={4,5,6,7},定义P※Q={(a·b)|a∈P,6∈Q}, 则P※Q中元素的个数为( ) A.3 B.4 C.7 D.12 解理解新定义集合P※Q的特征是平面上的点集,横坐标为P集合中元素,而纵坐标为Q集合中元素,则由分类计数原理知P※Q中元素的个数为3×4=12,选D.
The new college entrance examination uses the propositional idea of probity to create new innovative designs in the examination system and test paper structure. The following is an example of the innovative design questions in the set of test questions. First, the new definition model 1 Let P={3,4 ,5},Q={4,5,6,7}, define P*Q={(a·b)|a∈P, 6∈Q}, then the number of elements in P*Q is () A .3 B.4 C.7 D.12 Solution The new definition set P*Q is characterized by a set of points on the plane, the abscissa is the elements of the P set, and the ordinate is the elements of the set Q, which are classified by the principle of classification. The number of elements in P*Q is 3×4=12. Select D.