Function accounts for a large proportion in junior high school mathematics. In addition to the comprehensive problem named quadratic function, linear function and inverse proportional function may also be independently formed and occupy a very important position.

Special topic of sprint inverse proportional function in senior high school mathematics middle school entrance examination.

The main test points of inverse proportional function in junior high school mathematics are: the concept of inverse proportional function, the expression of undetermined coefficient method, the pictures of inverse proportional function and its properties (increase and decrease, symmetry, etc. ), the geometric meaning of the inverse proportional function coefficient k and so on. There are several mathematical models of geometric meaning of K, and mastering them skillfully can greatly improve the speed of solving problems.

Main knowledge points of inverse proportional function in mathematics of grade three

Today, I will push some topics completed by students recently to you for your reference when reviewing. Because it is the first round of review, the selected topics are not very difficult, so some topics are still typical and common, and some topics are still a little difficult, suitable for learning and practice with less prominent foundation.

Inverse proportional function topic training questions 1

Special training on inverse proportional function II

The main test points of the second question of inverse proportional function training are: finding hyperbolic and straight line expressions by undetermined coefficient method, the area problem of inverse proportional function and the existence problem of right triangle. There are many solutions to the third problem. Two straight lines are perpendicular, and the product of k is-1. This knowledge point is very important, and finding straight lines perpendicular to each other is very fast.

In addition, the graph theorem is also very fast in finding the length of line segments. Of course, the operation in the right triangle can use trigonometric function instead of proving similar triangles, which is faster.

Special Training of Inverse Proportional Function (3)

Special Training of Inverse Proportional Function (4)

The fourth main test site for special training of inverse proportional function: simple questions about drinking horses in general.

Special Training of Inverse Proportional Function (5)

5 test sites for special training of inverse proportional function: There are right triangle, similar triangles and quadrilateral areas.

Special Training of Inverse Proportional Function (6)

The sixth main test point for the special training of inverse proportional function: the expression of undetermined coefficient method, the problem of triangle area, the existence of parallelogram. Regarding the existence of parallelogram, the faster method is to use the midpoint coordinate formula. I have shared this method in the following answer, so you can have a look.

The following are the reference answers to this group of questions. There are other methods for each problem, so I won't list them one by one.

Reference answer one

Reference answer 2

Reference answer three

Reference answer 4

Reference answer 5