论文部分内容阅读
八、整除性问题整除性问题主要包括最大公因数和最小公倍数应用题。这两类应用题容易混淆,解题时应用心判断。例1把一张长288厘米、宽1 26厘米的长方形硬纸裁成若干张同样大小的正方形纸片。要求正方形的边长最长,且不许浪费。求正方形的边长和所裁正方形纸片的张数。分析:因为裁纸时不许浪费,所以长方形的长和宽必须能被正方形的边长整除,即正方形的边长是长方形的长和宽的公因数;又因为所求的正方形边长要求最长,所以,正方形的边长就是长方形的长和宽的最大公因数。
Eight divisibility problems divisibility problems include the most common divisor and the least common multiple application questions. These two types of application questions easily confused, the problem-solving application of heart judgment. Example 1 A piece of rectangular paper measuring 288 cm in width and 26 cm in width was cut into pieces of square paper of the same size. Requires the longest side of the square, and not allowed to waste. Find the side length of the square and cut the number of sheets of square paper. Analysis: Because the paper is not allowed to waste, so the length and width of the rectangle must be divisible by the side of the square, that is, the length of the square side of the rectangle is the length and width of the common factor; and because the required square side of the longest , So the side length of the square is the greatest common factor of the length and width of the rectangle.