对2007年浙江省高考数学卷解析几何综合题的评析(Evaluation and analysis of the mathematical geometry of Zhejiang college entrance examination in 2007)
对2007年浙江省高考数学卷解析几何综合题的评析(Evaluation and
analysis of the mathematical geometry of Zhejiang college
entrance examination in 2007)
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2007 issue eighth
Number of teaching and research in Middle Schools
L3?
Comment on the analytic geometry comprehensive questions of mathematics examination volume of Zhejiang college entrance examination in 20 years 07
Xia Min (Zhejiang Ningbo Yinzhou District Wuxiang middle school 351) 121
The basic inequality to derive the maximum value of.S. (second): lBI2S = 1 is the use of these two conditions is established based on the BK 2 Party A =,,, to calculate the linear slope and intercept, and get into the line
Equation. In the course of solving the problem, equation
discussion method and undetermined coefficient method are adopted
Studied the 2007 Zhejiang college entrance examination mathematics examination questions, the order is the ear
~
The new questions are created in strict accordance with the examination instructions at the same time
New ideas, new concepts of mathematics education, mathematics basic knowledge of mathematics, to highlight the rational thinking, mathematics application and innovation
consciousness and other aspects of the study, play a guiding role of effective selection function and the mathematical education of middle school mathematics college entrance examination. The positive analysis of geometry is more knowledge of it, thinking and flexible solutions that has been widely praised. The surface is concrete analysis of comprehensive analytic geometry problem science twentieth, arts twenty-first questions of the author.
1 appreciation of propositional thinking
Not for the law; function of thought, equation thought, the combination of ideas, to the idea of price has been fully reflected.2 parts design fresh and peaceful, thought and method of integration of natural, really touching the essence of analytic geometry, analytic geometry to fully evaluate the continuity through the method, reflects the ability to test for
the basic idea of.2 solution analysis of teachers and students generally reflect the questions and delicate design, also thinking routine.
"The knowledge of mathematics test, comprehensive and focused, focusing on discipline internal relations and comprehensive knowledge", based on the test of basic knowledge, focusing on the mathematical ideas and methods of the examination, pay attention to the mathematical ability test. On a comprehensive level of attention at the same time, the test, comprehensive the degree of reasonable regulation, a multi angle and level katada test. This is the 20 "07 years" mathematics examination that "" the three basics "test
But after sampling statistical analysis, the examinee's score is not high. The difficulty coefficient of Science in this paper is 02 and 05, respectively..6.7 and the expectation of the thesis
The distance is quite large. The examinee also reflects many problems in the process of answering,
Mainly in:
21, poor computing ability
This proposition is fully reflected in this proposition,
The meaning of a dimension, reflect the overall conception, unique, cross penetration, fusion of nature, visible proposition unique ingenuity.
11, the intersection and integration of knowledge networks
Although the calculation of the questions is not large, the questions are calculated by the candidates
The ability of the test also plays a role. Such as the () 2 items, many candidates in the column on the 6 in the error of 2 equations, and some test
The 2 is the absolute value and with square roots systems show the letter
The heart lacks, frequently makes mistakes, the BK which comes out or leaks the solution, the solution, the value must completely solve the error, so that can obtain the 4 set of solutions completely, thus
There are very few candidates for the 4 straight line equation
22 basic knowledge is not firm
One
Highlighting the relation and synthesis between knowledge is the characteristic of mathematics entrance examination in recent years. In addition to the equation of line and ellipse, the geometrical nature of ellipse, ellipse
The relation between the line and the ellipse is not only related to the position, but also the function,
Knowledge of equations, inequalities, plane geometry, etc.,
If the public type, chord distance from point to line up, formula, theorem of angular area, Wei three basic inequalities for the most value. Proceed design proposition from the basic knowledge, main content, basic method of middle school mathematics, to emphasize the comprehensive knowledge of knowledge interchange design firm, propositional knowledge network, to in a school
Students display their comprehensive qualities and comprehensive abilities
12, the intersection and fusion of thought methods
Some students do not have a firm grasp of basic knowledge
(1) the right candidates, easy to get S = B? J1b, 2 < 0
While B1 is asking for the maximum value of S, the problem is full of importance, not obvious
The equation is not in place; some candidates do not handle the coefficient "2"; some candidates fail to verify the condition of equal sign; some candidates think
The narrative concise, rich connotation and meaningful, basic idea and method of analytic geometry and comprehensive problem-solving ability are fully investigated. (1) the question set intersection A, coordinate and calculate their
coordinates,
The 2 question is () method for not by the use of Viete theorem and chord formula lBI expression. (A) the first items using the triangle area formula. Expressed as a function of B, and then use the S
No S2 ~ 1b = 6 (a = a = B, a simple 1B / 1?)
Instead, it is transformed into a unary two function by means of the meta idea
The maximum problem in the closed interval is the maximum or value of the derivative, although it is well designed at the intersection of the knowledge network
Wonderful pen, but also to provide candidates with a broader space for thinking and reconciliation
The choice of law, but the latter 2 solutions seem much more complicated
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L? 4
Number of teaching and research in Middle Schools
2007 issue eighth
23 lack of transformation ability
The basic method, interaction method of attention, through embodied in textbooks dependably
Sexual communication
32, strengthen rational thinking
The analytic geometry synthesis question often can manifest the student to analyze the question, the solution
The ability to solve problems. This question reflects the examinee's thinking is not rigorous, can turn
Force lacking. As in section (2 items), candidates intersect in the "straight line and ellipse
In two different transformation "in the forgotten delta > 0 inspection; and
One
Thinking is the core of mathematics ability, mathematics skills, good thinking, willing to delve into the students often get high marks in the college entrance examination. To learn the thinking process of problem solving in the number of teaching should focus on solving problems, make force
This process becomes the infiltration of the basic methods and basic ideas of Mathematics
The candidates will not use "AI2S =" SlB = 1 ", and" BAJd = l? "
Two
These conditions can not be at a distance of 0 from AB D on the BK, and the process of solving this equation, terminated. From 3 through the analysis of teaching oriented candidates answer situation analysis, three high mathematics teaching also has many places worth thinking. Many
The teacher pursues the problem solving skills unilaterally and neglects the reinforcement of the basic knowledge
Understanding, sublimation and application process, and in the process of training, induction and deduction perception conjecture conjecture proof, solving rational thinking play.
Ability
33, do a good job "count off"
Enhancing students' abstract operation and deformation ability is the key to solving problems
The key to the design. Not for the body, substitution and operation strategy, fan control
And continuity through the method of teaching; to focus on solving the main ideas of analysis, the idea of preciseness and computing ability. Ignore
31, pay attention to the implementation of the basis
Problem solving writing, the correct rate of the first operation
Select a certain number of questions, let students find reasonable calculation scheme, and simplify the basic methods and methods of calculation, personal experience operation
Because the basic concepts are not clear and the calculation is incorrect
The occurrence of difficulties and the complete process of overcoming difficulties, and strong confidence in solving complex problems
In a word, the review teaching of senior three should reflect the knowledge and thinking of Mathematics
And the basic method of unskilled loss is very serious, in order to continue to implement the "Three Basics" shake. "Not only is not grasp basic questions
Naval warfare, but should pay attention to each part of knowledge in their respective development process
Identification and precise. The only solid ", it can comprehensively.
Can use the basic knowledge freely; only pay attention to the
cultivation of good habit of thinking, the thinking of solving problems will be rigorous; only pay attention to the operation,
The vertical extension and its horizontal communication, clear the context, grasp the main knowledge
In the total review, we should pay more attention to the support function of the main knowledge in the knowledge, and to understand the general rules contained in the basic knowledge
Expression will be concise and fluent
The thinking caused by the three-dimensional geometric problems of the college entrance examination mathematics volume in Zhejiang in 20 years 07
- Dong Fu Gan Jianfei bell (Zhejiang, Haiyan County high school 340) 130
Based on solid geometry teaching requirements, test objectives, the annual legislation
11 volume position analysis
Body geometry examines both similarities and innovations,.20 again from 07
In Zhejiang province college entrance examination mathematics examination on distribution of solid geometry, multiple-choice questions, fill in the blanks and answer questions each question, scores were 5 points, 4 points, 1 24 points, a total
of 3 points, accounted for 1% of the total score, location, 53 main test points, a method for angle and a line although students.
The ability of spatial imagination is recognized as a difficult point of ability
Standard and test requirements, and positioning the new curriculum standards for their proper,
Not deliberately pursue difficult problem solving, still in the field of testing, but there are still many problems,.07, Zhejiang college entrance examination mathematics volume arts 20
Nineteenth questions (with science second questions) O difficulty is appropriate, but the candidates on the spot
The psychological endurance is higher
12 spot sampling analysis
When studying three-dimensional, when there is a certain degree of difficulty, but the actual test requirements
Is more appropriate. However, most of the candidates, but this kind of solution to a topic still has some difficulties, lack of imagination between lack of ability and mathematics thinking method is the main reason. The author through to answer questions (liberal arts, science first item 2O) 9 questions in depth analysis. Some thinking, in order to have the guiding
significance for mathematics teaching.
1 data analysis
After the test showed that the sampling: in general, science candidates around 6O completed the selection and fill in questions, about O to answer the 179th questions; Liberal Arts candidates around 6O completed the selection and fill in questions, about O8 to answer questions 2O. The 7 O before the time experienced
From the test anxiety to the emotional stability of the process, the choice of questions and fill it
One
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