目前国内外的数学试题中,出现了不少各种选择题。它不仅丰富了题目的类型,而且由于它小而精、巧而活,既可考察学生基本知识、基本技能的灵活运用,又可考察学生敏捷而合理的逻辑思维能力,准确而迅速的运算能力、机智而明确的推理判断能力。因此,近三年来我国的数学竞赛试题,尤其是去年和今年的全国高考数学试题都以选择题作为命题形式之一。这样,研究选择题的结构及解法是教学中的一个新课题。从选择题的性质而言,可分为定性、定量与混合三种类型。定性型要求从命题的条件判定所述数学元素可具有的性质或关系;定量型则通过推理和计算,判定与这些数学元素有关的数量结论;混合型乃兼而有之。从选择题的形式而言,可分为发散、收敛与 At present, many kinds of multiple choice questions have appeared in mathematics test questions at home and abroad. It not only enriches the types of topics, but also because of its small but refined, clever and lively, not only can the students’ basic knowledge and basic skills be used flexibly, but also students’ agile and reasonable logical thinking ability, and accurate and rapid computing ability. Reasonable and clear reasoning ability. Therefore, the question of mathematics competition in China in the past three years, especially the examination questions of mathematics in the national college entrance examination of last year and this year, has taken multiple choice questions as one of the proposition forms. In this way, studying the structure and solution of multiple-choice questions is a new topic in teaching. From the nature of the multiple-choice questions, it can be divided into three types: qualitative, quantitative, and mixed. Qualitative type requires that the nature or relation of the mathematical element can be determined from the conditions of the proposition; the quantitative type determines the number of conclusions related to these mathematical elements through reasoning and calculation; the mixed type is both. From the point of view of the multiple-choice questions, it can be divided into divergence, convergence and