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1函数表达式中的先猜后证在研究性学习中,运用先猜后证的数学思想指导求函数的表达式等问题,常常可以通过归纳发现和类比联想的手段来实现.例1平面内的n个圆,最多可将平面分割成多少个互不重叠部分区域?这个实际问题可转化为数学问题:f(1)=2;f(2)=2+2;f(3)=2+2+4;f(n)=2+2+4+6+
Giving Evidence-based Evidence in Functional Expressions In research-based learning, the use of mathematical concepts that first guessing evidence permits the expression of functions can often be achieved by means of inductive discovery and analogical association. The n rounds can divide the plane into a number of areas that do not overlap each other. This practical problem can be transformed into a mathematical problem: f (1) = 2 f (2) = 2 + 2 f (3) = 2 + 2 + 4; f (n) = 2 + 2 + 4 + 6 +