Analysis of Math Test Paper in Grade Three (1). General situation of test paper:
1, basic part (86 points)
(1) Inverse number (2) Scientific notation (3) Relationship between central angle and circumferential angle (4) Probability (5) Similarity (6) Matching method (7) Statistics (9) Independent variable value range (10) Decomposition factor (16544)
2, the middle, improve the part (34 points)
(8) Exploring the Law of Unfolding Diagram (12) (19) The second calculation problem related to circle (22) Reading and operation problems.
(23) Algebraic synthesis of the second and third questions (24) Geometric synthesis (25) Algebraic geometric synthesis of the second and third questions.
Second, part of the topic analysis:
1, No.8, the problem of expansion diagram (the last question is often chosen in the senior high school entrance examination) can test students' spatial imagination ability in terms of difficulty. This problem can be simplified by regression. You can't think of three faces. You can think of two faces and see if they overlap. This problem can also be operated experimentally, but the graphics are somewhat complicated and it is difficult to fold the paper.
2. Question 12, legal inquiry. The numbers tested in this question appear many times in the senior high school entrance examination or simulation, and students are no strangers. The key to solving the problem is the mutual transformation between algebra and geometry.
3. The questions17, 18 and 19 are all made by imitating the mid-term exam questions of 1 1. Pay attention to the classification discussion of 17, the fractional equation of 18, and the conventional trapezoidal calculation of 19.
4. Question 20, the proof of tangent is actually the inverse theorem model of chord tangent angle, but in order to reduce the difficulty, the diameter is drawn in the question; The second problem is to find the length of two line segments by imitating the senior high school entrance examination, but the length of the first line segment actually reduces the difficulty of finding the second line and can achieve a certain degree of discrimination. This question is medium, but it is simpler than the 1 1 year entrance exam.
5. Question 22, entitled Reading Comprehension Information Question. To do this kind of problem, you must look at the information, think again, and then draw a gourd ladle. This topic has been tested in the Beijing Competition, and it can be found in the translation of the popular training teaching aid "New Thinking" or "New Methods of Training Competition".
6. Question 23, general algebra synthesis problem, in a word? Algebra, too .
7. Question 24, the comprehensive problem of midpoint-related geometry, and question 25 of Haidian No.1 Middle School 10/1are all of this kind. The graphic essence of this problem is to increase the outer center line of the midpoint method, which greatly reduces the difficulty. This kind of question has been investigated many times in competitions and senior high school entrance examinations, and the 25th question in Beijing senior high school entrance examination in 2008 is such a question (Dalian senior high school entrance examination was changed in 2005).
8. Question 25, Algebraic Synthesis, the first question is to give points, the second question is to find the area by cut-and-complement method, and the third question can be regarded as algebraic synthesis based on algebra (typical Dalian style, this question was changed to question 26 in the senior high school entrance examination in Dalian in 2009), so we should pay attention to the conversion calculation of algebra and geometry.
Summary:
The topic of the first model in Haidian District is a little simpler than before, so students will get a good grade (compared with the final exam), but don't be proud. For most students, it is necessary to ensure the accuracy of simple questions, improve the speed of medium questions, and understand the basic routines of difficult questions.
Analysis of Test Paper of Senior Three (2) 1 Mathematical Model. Teaching and learning problems reflected in the test paper;
Problems in teaching:
The cultivation of students' problem-solving methods and abilities needs to be further strengthened, and the guiding teaching of problem-solving methods needs to be strengthened.
Student questions:
1, the basic knowledge is not solid, and you are unfamiliar with basic concepts, basic formulas, basic properties and basic theorems, resulting in losing points;
2, the exam questions are unclear, resulting in serious loss of points;
3. The problem-solving process is not standardized and rigorous, the basic skills of problem-solving are not skilled, and the basic ideas are not clear, resulting in loss of points;
4. The mathematical thinking method is not flexible, and the ability of thinking transformation, classified discussion and combination of numbers and shapes is poor, and the poor ability of comprehensive and flexible application of knowledge leads to loss of points.
Second, the examination paper analysis
The scope of this test paper is mainly the knowledge points of the third grade school, which is moderately difficult and can reflect the students' actual mathematics knowledge. Judging from the results of the examination paper, the expected goal has been basically achieved, which can be roughly divided into two categories: the first category is basic knowledge, which is tested by multiple-choice questions, fill-in-the-blank questions, calculation questions and drawing questions, and the second category is comprehensive application, which mainly includes geometric proof, application exercises and classified discussions.
In the basic knowledge, the situation of choosing and filling in the blanks is basically good. The most common multiple-choice question is the first question, and students are prone to make careless mistakes, followed by 17 error fill-in-the-blank questions.