曲线与方程

曲线与方程若干问题初探

Approach to a Number of Problems on Curve and Equation

学生对曲线与方程的理解的障碍主要有以下几点：1、映射是曲线与方程概念中的主要思想，大部分学生没能从映射的观点来理解曲线与方程。

Most students can not understand the concept of the curve and the equation by the way of the mapping although the mapping is one of the main ideas in mathematics .

所以，学生对函数及其图象、直线的方程的学习，是学习曲线与方程的基础。

Therefore , the learning of the function and its image , and the equation of a straight line is the base of the learning of the curves and the equations .

教材编写：应调整解析几何课程内容的安排顺序和呈现方式，把曲线与方程的概念放到直线与方程的前面。

Textbook development : to enhance the history content of analytical geometry ; to adjusting the arrange sequence and present approach of analytical geometry content , put the conception of curve and equation in front of the beeline and equation .

三种土壤不同施肥处理磷的吸附曲线与Langmuir方程均拟合良好，相关系数均达到显著水平。

P adsorption to soils of the three types under different fertilizer treatments was well fitted to Langmuir equation with strong correlation .

以改进的西原正夫模型为基础，利用岩石全过程应力-应变曲线与蠕变方程中参数的对应关系，建立参数非线性蠕变模型。

Based on the modified elastic and visco-elasto-plastic model , the corresponding relationship of complete rock stress-strain curve and creep equation parameters is utilized , and a creep model with non-linear parameters is set up .

在4种动力学方程中，黄壤的动态等温吸附曲线与双常数方程的相关性最好；

In the four dynamic equations , the dynamic isothermal adsorption curve for the yellow soil tally well with the two - constant rate equation ;

沉积物对镉的吸附等温曲线与Langmuir吸附等温方程拟合的相关系数较高，沉积物对镉的吸附等温线较符合Langmuir型。

The adsorption isotherms of Cd in sediments are calculated using Langmuir adsorption equations , the correlation coefficient is relatively high , The adsorption isotherms conform to Langmuir type . 7 .

在实验供磷溶液浓度范围内（20～160ppm），五种填料的动态等温吸附曲线与四种动力学方程的吻合性也很好；

The dynamic isothermal adsorption curves of five fillings also anastomose well with four kinetics equations within experimental phosphor solution concentrations ( 20 ~ 160ppm ) .

首先提出了两个新的复合材料全寿命范围的E-N曲线方程与S-N曲线方程，与过去的双参数和三参数曲线公式相比，此二方程因均有四个参数而具有更好的物理性质；

Two new equations of the S N curve equation and the E N curve equation are presented in this paper . These equations are with four parameters , therefore they have better physical properties than those with two or three parameters .

空间曲线存在定理与黎卡提方程

The Existence Theorem of Space Curves and Riccati Equation

吸附动力学实验结果说明吸附过程在1小时内达到平衡，且动力学曲线与假二阶方程有很好的相关性，表明吸附过程存在化学吸附。

The adsorption kinetics indicate that the absorption process can balance within one hour , and the kinetics curve provide good correlation with the pseudo-second-order model , which indicate the existence of chemical adsorption .

对圆锥曲线是直线族的包络进行了证明，揭示了圆锥曲线与微分方程的解之间的内在联系。

Exemplifying the Problem-Solving Techniques for the Sampling Codomain of the Conic ; This article is to illustrate that the conic section is an envelope of family of straight lines , thus we discover the internal relations between the conic section and the solution of differential equation .