英语翻译数形结合是数学解题中常用的思想方法,它将代数与几何相结合,利用数形之间相互转换,使某些抽象的数学问题直观化、生动

英语翻译
数形结合是数学解题中常用的思想方法,它将代数与几何相结合,利用数形之间相互转换,使某些抽象的数学问题直观化、生动化,能够变抽象思维为形象思维,有助于把握数学问题的本质.这种“数”与“形”的信息转换,相互渗透,不仅可以使一些题目的解决简捷明快,同时还可以大大开拓我们的解题思路,为研究和探求数学问题开辟了一条重要的途径.本文将从以下几个方面来探讨数形结合思想在中学数学中的巧妙应用：（1）集合中的应用；（2）对称问题中的运用；（3）方程和不等式问题中的运用；（4）函数中的运用；（5）有复数时的运用；（6）在解析几何上的应用；（7）数形结合的简繁问题.通过分析、比较和归纳充分展现了运用数形结合思想在解题中的优点.

Combination of number and form is a commonly used way
in solving mathematical, it combined algebra and
geometry, conversion between number and form, making
some abstract mathematical problems direct-viewing,
vivid, making abstract thinking into imaginal thinking,
helps to grasp the essence of mathematical
problems.This type of "number" and "form" information
conversion and penetration, can not only solve some
subject simply and fast, but also greatly develop our
problem-solving ideas, opening up an important way of
studying and exploring mathematical problem.This
article will discuss the skillful application of the
combination of number and form ideas in middle school
mathematic education on the following aspects : (1)
application in the congregation;(2) application of
symmetrical problem;(3) application of equations and
inequalities;(4) application of function;(5) application of plural,;(6) application of analytic geometry;(7) the simplification and miscellaneousness of the combination of number and form .Through analysis, comparison and summing up,
the advantages of using the combination of
number and form ideas in solving mathmatic problems will be fully revealed.
再问： 网上翻译的有语法问题
再答： 晕啊，给你翻了半天，你说网上翻的，哪有语法问题？早知道不理你了。出力不讨好的。
再问： 还在没？你也帮我看哈吧就一段话的意思连贯。谢了！