论文部分内容阅读
数学是一门研究空间形式和数量关系的科学.数形结合的数学思想就是在研究数学问题过程中,把数和形结合起来考虑,使抽象的数学语言直观化,或使直观的图形抽象化,从而发挥抽象思维与形象思维间的协同作用.我国在周朝就发现了直角三角形满足“勾三、股四、弦五”的关系,说明我国古代数学家早就把“数”与“形”结合在一起了.有机地结合代数与几何的基础知识,来解决问题.例1如图,已知四边形ABCD中,对角线AC与BD
Mathematics is a science that studies the relationship between the form and the quantity of space.Mathematical idea of mathematical combination is to consider the combination of numbers and shapes in the process of studying mathematical problems, to make the abstract mathematical language intuitive or abstraction of visual graphics , And thus play the synergy between abstract thinking and image thinking.China found in the Zhou Dynasty right triangle to meet the “hook three, four shares, five strings” relationship, indicating that ancient Chinese mathematician has long put “ ”And “ shape ”combined organically combine the basic knowledge of algebra and geometry to solve the problem.Example 1 As the figure, known quadrilateral ABCD, diagonal AC and BD