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Tangent Line of Senior High School Entrance Examination in Liancheng County, Longyan City, Fujian Province

The tangent of the senior high school entrance examination in Liancheng County, Longyan City, Fujian Province is as follows:

A mathematical problem of finding the tangent of the function at (3,7) points appeared in the comprehensive examination paper of Liancheng County, Longyan City, Fujian Province, which caused widespread concern and heated discussion. What is tangent, how to find tangent, the related application and educational significance of tangent will be elaborated in detail below.

1. What is the tangent?

The tangent is a straight line tangent to the curve at a certain point, and the tangent point is the intersection of the curve and the tangent. The slope of the tangent is equal to the derivative value of the function at this point, and the tangent can help us better understand the properties of the curve at this point.

2. How to find the tangent line

Let the function be f(x), and the tangent equation at (a, f(a)) is y=f'(a)(x-a)+f(a), where f'(a) is the derivative value of the function at point A. In addition, there are other methods to find the tangent of the curve, such as using the curvature sum equation.

3. Relevant application of tangent line

Tangent is widely used in many fields, such as computer graphics, civil engineering, physics and so on. Among them, curve tangent is widely used in computer graphics, such as three-dimensional modeling and animation. In civil engineering, roads and bridges are designed with curve tangents; Tangents in physics are widely used in computer simulation and prediction of physical phenomena.

4. Educational significance

The problem of finding the tangent of mathematics in Liancheng county's senior high school entrance examination has aroused widespread concern and heated discussion in society. On the one hand, it shows that this question type has become one of the normal questions in mathematics of senior high school entrance examination, which reflects the requirements of the examination for students' innovative thinking and application ability; On the other hand, the education department is also required to update the teaching content and innovate teaching methods to stimulate students' interest in mathematics and desire for knowledge.

To sum up, the tangent is a straight line tangent to the curve at a certain point, which can help us better understand the properties of the curve at that point. Tangent has a wide range of applications, reflecting its practicality and research value. The tangent math problem appeared in the senior high school entrance examination in Liancheng county, which shows that this kind of problem has become one of the normality of the senior high school entrance examination, in order to better stimulate students' interest in mathematics and desire for knowledge.