Solid foundation
Basic knowledge is the most fundamental cornerstone in the whole mathematical knowledge system. Students must listen carefully in class at school, which is directly related to the implementation of the foundation. In addition, it is necessary to summarize and sort out the knowledge points of the textbook and remember the concepts clearly. In particular, multiple-choice questions and fill-in-the-blank questions need clear concepts to distinguish right from wrong. If the concept is unclear, it will feel ambiguous and eventually lead to the wrong choice.
True question
(10 year) The height of cylinder and cone is the same, and their volume sum is 72 cubic decimeters, the volume of cone is cubic decimeters, and the volume of cylinder is cubic decimeters.
answer
For cylinders and cones with equal bottoms and equal heights, the volume of the cylinder is three times that of the cone, so the total volume of the two is 72 cubic meters, the volume of the cylinder accounts for three parts, and the volume of the cone accounts for 1 part. Let the volume of the cone be x and the volume of the cylinder be 3x, then x+3x=72, and x= 18 is obtained. The cone volume is 18 cubic decimeter, and the cylinder volume is 54 cubic decimeter.
analyse
This question examines students' calculation methods of cylinder and cone volumes and their differences. The relationship between a cylinder with equal base and equal height and a cone, the volume of which is three times that of the cone, is the key to solve the problem.
True question
In a proportion, it is known that two external terms are reciprocal, one of which is the smallest prime number and the other is.
answer
The ratio a: b = c: d is a×d=b×c,
It is known that the two external terms are reciprocal, that is, a× d =1= b× c. Since the minimum prime number is 2, the other internal term can be 1/2.
analyse
This question examines the concepts of proportion, reciprocal, minimum prime number, etc. It is difficult for students who are not familiar with these concepts to answer correctly.
Improvement and expansion
While paying attention to basic knowledge training, we should carry out special training for children in stages and in a targeted manner. The relevant knowledge points involved should pass the customs, strengthen training, and make the knowledge points comprehensive, so that there will be no confusion and confusion.
Refining and refining
Select several sets of simulated test questions, including the joint entrance examination questions over the years, and practice them for children in a planned way from April. The difficulty of these papers is similar to that of the senior high school entrance examination, and the distribution of knowledge points is reasonable, which can optimize and improve the whole knowledge system, sublimate the foundation and ability, improve the speed and master the knowledge more flexibly.
In this stage of training, children should develop the habit of slow trial, and then do it quickly after analyzing the meaning of the question clearly. In addition, improving the speed and accuracy of doing questions is also a training that needs to be strengthened in review. The number of questions in the joint exam is tight, so the usual training requires children to be in place in one step.
Check for leaks and fill gaps.
While doing the questions, there will be many wrong questions. It is essential to sort out, summarize and correct the wrong questions, and correction is more important than doing the questions. By comparing the process of the wrong solution with the correct process after correction, the cause of the error can be found. It is suggested that students compare the wrong questions in various test papers according to multiple-choice questions, fill-in-the-blank questions and solution questions, and count which questions are easy to make mistakes, so as to find out the mistakes and deficiencies with * * * *, check for missing items in time, and solve problems before the exam.