With vector ' s ( a new tool of modern mathematics ) being introduced into solid geometry , there arise some new ways of dealing with solid geometry problems 摘要向量这一现代数学新工具引入立体几何后处理立体几何问题，有了新方法、新途径。
Abstract : this paper mainly utilizes the methods of formula , isometric transform , cut and complement , extremes and analyzing special section to calculate the volume in solid geometry 摘要:文章探讨了用公式法、等体积变换法、割补法、极值法、分析特殊截面等方法求立体几何中几何体的体积。
In the mathematics teaching material of the current senior high school and mathematics test , necessary have a solution is relevant solid geometry , some region ' s mathematics test average isn ' t high , this topic is one of " chief criminal " s 现行高中数学教材和高考数学试题中，少不了有一个解答题是有关立体几何的，一些地区的数学平均分不高，这个题目是“罪魁祸首”之一。
So it can provide reliable information for the design and improvement of the connecting rod . the geometric model is built by using 3 - d cad software unigraphics ( ug18 ) , and the 3 - d solid geometry of the connecting rod is meshed by using msc . patran , an fem pre - and postprocessing software 本文采用了unigraphics 3d软件进行实体几何建模，应用有限元前处理软件msc patran对连杆模型进行网格划分、加载和约束的处理，然后提交到msc
The key techniques for reverse engineering based on ct image are introduced . 3d reconstructed surface model does n ' t possess full geometry and topology information as solid geometry model . this dissertation presents an algorithm for rebuilding solid model from triangulated patch surface mod 介绍了基于ct图象反求的主要技术；针对重建三维表面模型不具备象实体几何模型的数据那样的完备信息的特点，提出一种基于ct图象的反求技术的实体几何造型方法，将重建模型转换为边界表示的实体模型，并将其作为本研究所开发的特征造型系统3dmodeler中的一种反求工程实体造型手段。
? to make the solid have realistic surface , we adopt advanced solid modeling method - constructive solid geometry . ? to free end - user from overwork , we presents and realizes many auto - processing algorithms , such as searching of inner - point , definition of polygon ' s counter - clockwise direction , as well as generation of numeric control codes . ? to checkout the collision and interference between cutter and part , we accomplish numeric control machining simulation , which can help end - user validate the correctness and rationality of numeric control codes , so it is needless that do repetitive test - cut before normal manufacture 正如将在后续章节中所讲述的那样，我们在系统中采用了许多先进的技术，其中主要包括以下几点：采用分层设计思想，使三维物体的设计得到了简化；采用先进的实体造型方法，使所建立的实体真实感强；实现了内点自动查找、多边形方向自动定义等算法，提高了系统的自动化水平；实现了刀具轨迹的自动生成、优化；实现了数控代码的自动编写，克服了手动编写的缺点；实现了数控加工仿真，能检验数控代码的正确性和合理性，并能自动检测刀具与工件之间的干涉。
According to the constituting of mathematics language ability , and the level of structure , and expressing differently , the mathematics language can be divided into the mathematics language identifying barrier , the comprehending barrier , transforming barrier , structuring barrier , organizing and expressing barrier etc . through the test and survey of students , and the interview to teachers in wuhan , xiantao and xiaogan , we have understand that the senior high school students are not good at exploring hidden factor of symbolic language and solving a mathematics problem by image , and mathematics language expression barrier is outstanding , and the transforming barrier in solid geometry is prominent 根据数学语言能力的组成成分，按照层次、表现的不同，可分为数学语言识别障碍、理解障碍、转译(或转换)障碍、构造障碍、组织、表达障碍等。针对这些问题，分析成因。通过对湖北省武汉、仙桃、孝感等地部分学生的测试、调查和教师的访谈，了解到高中生数学语言学习方面存在不善于发掘符号语言的隐含条件，不善于利用图式解题，数学语言表达障碍突出，立体几何中数学语言的转换障碍等问题。
