几何图形

Boys are abler to understand the abstract geometrical patterns than girls do.

与女孩相比，男孩在理解抽象几何图形方面能力更强。

Several combining with middle school mathematics teaching Abstract: combining the number is the number of more abstract corresponding relation and the geometrical graph, combine to solve the problem of abstract concepts to materialize and intuitive, intuitive, abstraction, and systematic problem to reduce the difficulty of the problem, and to help students thinking transformation and training students' ability.

数形结合与中学数学教学摘要：数形结合就是把较为抽象的数量关系和与其对应的几何图形相互结合起来解决问题，使抽象的概念直观化、具体化，使直观的问题系统化、抽象化，从而达到降低难题的难度、帮助学生思维转换、培养学生能力的作用。

analytical geometry ; the thinking of vector ; vector tool ; the structure of cognize

教材从空间向量与坐标入手，主要以向量为工具，研究空间中的一些几何图形及性质，不论从知识上还是从思维上，都是对中学内容的加深和提高。

Accordingly, in education, the teacher should pay attention to directive student to learn to use geometrical figure, handle the consciousness of physical problem with auxiliary circle especially, increase the capacity that uses geometrical knowledge to solve physical problem thereby.

因此，在教学中，教师应注重指导学生学会利用几何图形，尤其是用辅助圆处理物理新问题的意识，从而提高运用几何知识解决物理新问题的能力。

This method will spilt the polygon and we can use this property to proceed Boolean operation of geometric polygon.

本论文中所使用的计算几何理论为二元空间分割法，此方法会对本身多边形进行分割，我们可以利用这个特性去进行几何图形的布林运算。

The existing points and lines would form a closed geometric shape. If we put the new point Z outside the closed geometric shape at first and later then found that the point Z has neighboring relationship with the existing point A which is inside the closed geometric shape, we could not link point Z and A directly because that would bring line crossing. If we rearrange the point Z into the closed geometric shape, that also would cause a lot of work to do. With the help of Exclave, all problems could be solved easily. We use point X outside the closed geometric shape as the Exclave of the point A. Then the line between point Z and X could demonstrate the neighboring relationship of the point Z and A.

原有的各点和相邻线段往往会形成一个封闭的几何图形，如果我们把新增点 Z 设在原有的封闭几何图形外部，后来又发现该点 Z 和位于封闭几何图形内部的点 A 存在相邻关系，这时不能直接将两点连接因为那将产生交叉，而如果将点 Z 重新设在封闭图形内部也将导致大量的调整工作；此时借助外飞地的概念，可以轻松地解决上述问题，即在封闭几何图形外部设置点 X 作为点 A 的外飞地，两点使用同样的颜色，用点 Z 和点 X 的相邻线段表示点 Z 和点 A 之间的相邻关系。

The corners of each new polygons are at the intersections of the borders of the original polygons; hence computing the coordinates of border intersections is a vital function in polygon overlay.

新几何图形的角落是在原始几何图形的疆界的交叉点；因此计算疆界交叉点座标是一个重要作用在几何图形叠盖。

On the base of these, the electron diffuse scattering, being highly intensive and confined in reciprocal space to a regular geometric surface exhibiting the translation symmetry of the b.

发现在各倒易截面中，电子漫散射强度集中分布在一较窄的带状规则几何图形上，并且，各几何图形同与之相应的对应于面心立方f.c.c。

We prove that a diagram can be drawn with conicoid sequentially if and only if it can be described by a set of triangular equations of degree less than nine.

同时证明了一个三维几何图形可以用平面、球面和圆锥曲面构造出来的充分必要条件是这个三维几何图形可以用一个三角化的次数小于9的代数方程组来描述。

For example, after spinning the geometric shape circle on its axis to any degree, the geometry of the shape remains unchanged. Therefore, the geometric shape circle is symmetrical relative to the revolvement on its axis.

例如，平面几何图形圆，绕轴心作某一角度旋转，圆的几何图形保持不变，所以，圆的几何形状具有对轴心的旋转对称。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。