依据命题者对解题者的要求,数学问题可分为两类:一类是问题的条件和结论都有确定要求的题型,即封闭性题型;另一类是条件和结论中至少有一个没有确定要求的题型,即探索型、开放性题型．后一类题对于训练和考查同学们的发散思维,进而培养同学们的创新意识和创新能力是十分有益的．这类问题的基本形式有:问题的条件不完备的条件探索型、 According to the request of the proposition solver, mathematics problems can be divided into two categories: one is that the conditions and conclusions of the problem have certain types of questions, ie closed questions; the other is that there are at least conditions and conclusions. A question type that does not have a definite requirement, namely, an exploratory and open question type. The latter type of questions is very useful for training and examining students’ divergent thinking, and then cultivating the students’ innovative awareness and innovative ability. The basic forms of such problems are: the condition of the problem is incomplete conditional exploration,