论文部分内容阅读
引例1平面上的4条直线最多可将平面分成个不同部分;若再加上3个圆,则最多可将平面分成个不同部分.(第十六届“希望杯”海南试卷高一第1试第21题)引例2可将空间分成15个部分的平面的个数至少是()(A)3.(B)4.(C)5.(D)6.(第十六届“希望杯”高一第2试第10题)上述两例考察的均是几何图形分划的计数问题.前者是平面的分划,后者是空间的分划.此类问题对培养学生的理性思维能力大有裨益.1.分划平面
The four straight lines in the example 1 plane can divide the plane into different parts at most; if three circles are added, the plane can be divided into different parts at most. (The 16th “Hope Cup” Hainan examination paper Gao Yi 1 Question 21) The number of planes that can divide the space into 15 parts is at least () (A) 3. (B) 4. (C) 5. (D) 6. (The 16th “Hope Cup ”high school a second test 10 questions) The above two cases are examined the geometry of the division of the problem of counting. The former is the division of the plane, the latter is the division of space. This kind of problem to cultivate students’ rational thinking Ability is of great benefit.1.