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Solving model of inequality in high school
The math specialty teacher is recommending a set of books that high school students must read in summer vacation. Solving problems with a general model is the latest research achievement of the key project "Evaluation and Promotion of Quality Education Resources" in the 11th Five-Year Plan of China Education Association. It is the teaching essence of dozens of first-line teaching experts for many years. "General model problem solving" is a scientific, practical and efficient learning method, which grasps the essential law of the subject. Through the in-depth analysis of the questions in various subjects in middle schools, several simple problem-solving models are summarized and refined. Through the single use, application and combination of models, the ever-changing test questions are solved through limited models, so that students can truly master the scientific and simple problem-solving path and solve problems correctly and quickly. "General Model Problem Solving" includes a CD-ROM explained by a famous teacher, a learning manual for consolidation and improvement, and a model memory card. Watch the CD and listen to the famous teacher explain the skills and methods of model problem solving; Look at the model memory card and easily remember the subject "model"; Learn the manual, skillfully use various models to solve problems, and experience the magic of model solving problems. In other words, mastery through a comprehensive study. "General Model Solving Problems" allows students to learn how to use "model" to solve various problems accurately, concisely and quickly, and greatly improve their academic performance! "General model solving problems", students can understand at a glance, learn quickly and use quickly! What is a model? The model is actually the simplest graph. In a discipline, it consists of the smallest knowledge module and operation method. Model solving is to solve all kinds of problems with the simplest laws corresponding to modules. Model problem solving method is a set of scientific problem solving methods that simplify complex problems. There are only three steps to solve problems with models: the first step is to find out the corresponding model; The second step is to find out the specific situation of the problem; The third step is formulation, operation and calculation. The operation flow of model problem solving is as simple as that! It's that simple for students to master! Content: General model problem solving (senior high school) includes model memory card, CD explained by famous teachers and a manual to consolidate and improve learning. Through the combination of listening, thinking, reading, taking notes and practicing, students are guaranteed to understand at first sight and learn as soon as possible. First, memorize the card and easily remember the physical "model" formula; Second, watch the CD and listen to the famous teacher explain the skills and methods of model problem solving; Third, study the manual, skillfully use various models to solve problems, and experience the magic of model solving problems. Model classification model 1: element and set model 2: function property model 3: fractional function model 4: abstract function model 5: function application model 6: equal area transformation model 7: equal volume transformation model 8: line-plane parallel transformation model 9: vertical transformation model 10: normal vector and symmetry model1/kloc-0. Type 12: conditional structure model 13: cyclic structure model 14: classical probability model and geometric probability model 15: angle model 16: trigonometric function model 17: vector model/kloc-0. Model 20: Constructor model model for solving inequality problems 2 1: Maximum model in analytic geometry makes complex physics/mathematics learning simple: the model solves problems, simplifies the complex, is easy to master, and is well received by parents and teachers! A physics/math problem that decides a child's fate? Because of this, just after the summer vacation, the heat wave of physics/mathematics tutoring for middle school students came. Various intensive classes and cram schools have appeared one after another. Many education experts call for finding the right way to solve physics/mathematics problems, otherwise it will waste time and money. In his opinion, the level of a teacher's teaching is not how many problems he has helped students, but whether he can teach students the simplest and most effective method to solve problems. This is the way to solve problems with models. Xiao Ping 'an looks confident. "Let students grasp the problem at once, find the corresponding problem-solving mode, and then naturally have problem-solving ideas. No matter how difficult the problem is, don't be afraid. " Many parents have such confusion. "Children's primary school physics is ok. How can physics/mathematics fall behind in junior high school? " "Junior high school physics/math scores are not good, and high school can't catch it!" Teacher Zhang Wendi, a special math teacher and model research expert attached to the First Normal University, bluntly said, "Junior high school mathematics \ physics cultivates logical thinking abilities such as classification, induction and reasoning. Model solving method can especially improve children's logical reasoning ability! According to my teaching experience for many years, students in Grade One and Grade Two of Senior High School have mastered model problem solving, and their math scores will definitely improve. Until high school, their math scores will lead all the way. And I got good grades in physics and chemistry. Teaching experts admire the "model solving method" for the finale of the college entrance examination in mathematics, physics and chemistry, and often only three or four people out of 100 can solve it. Can "model problem solving" be easily solved when it comes to this difficult problem that makes people want to cry without tears? With the question 16 of the 2008 Beijing College Entrance Examination, the author asked the famous elementary mathematics educator, the vice chairman of the Mathematics Society, and the editor-in-chief of the mathematics of the model problem solving group for advice. As soon as he saw the topic, he blurted out, "It's too easy to solve problems with models!" "This is a solid geometry problem, and many students are planted on it. There are three mistakes and two propositions' traps' in this question. How to deal with' model solving'? Through observation, the lines are vertical, and we can construct a normal vector model to solve the problem by associating with the formulas of' model solving' and' multiline vertical normal vector'. " The traditional solution needs 25 steps, and the process is complex and error-prone. Knowing that Mr. Bai can finish it quickly and accurately in only 9 steps. A student who watched it for a long time said with a surprised expression: "There is 14, which could only be an undergraduate."