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1、代数几何综合题的解题方法（Solving methods of algebraic geometry）Worth having dataIs from the usual accumulation of learning summaryThere are certainly some local problemsAlso please criticism!Method for solving comprehensive problems of geometric algebraBeijing, a middle school Li AiminGeometric algebra, refers
2、to comprehensive problems of comprehensive use of the algebra and geometry of the two part of the problem solving knowledgeIs the type of knowledge covering a wide range, the strongest comprehensive mathematics in junior middle schoolMultiple solutions of the variety and geometric questions examined
3、. Comprehensive mathematical knowledge and apply knowledge of algebra; examines the migration ability to integrate the mathematics knowledge; to examine the question will be decomposed into a.The ability to simplify complex issues; to examine the relationship of the understanding of algebraic geomet
4、ry knowledgeUse of mathematical thinking ability of analyzing and solving problems.Questions are generally divided into: (1) equations and geometric synthesis problems; (2) integrated function and geometry problems; (3) the problem of dynamic function in geometry; (4) geometric problems in rectangul
5、ar coordinate system; (5) research, induction, conjecture and proof of geometry.Type characteristics: one is with a geometric vectorFind the number of relations between the various elements of the line, angle and other graphicsThe establishment of algebra equation or function model; two is the numbe
6、r and geometry of contactThe visualization, visualizationThe position and function of root from the relation of the point and line of the geometry graphics. In the form of derivativeThe number of thinking formIn order to find a shortcut. Conversion solution geometric algebra, comprehensive problems
7、should make flexible use of the combination of the thought between number and formThe key is to find the two part of the combination of knowledge from the subjectIn order to find the solution of a breakthrough. This kind of problem is often the last item of the senior high school entrance examinatio
8、n.Methods: the solution of problem solving this kind of problems from algebraic geometry of twoMulti angle, multi thread depth analysisThe key point of bridge connection in algebra and geometry. The flexible use of mathematical thought and methodSuch as the combination of thought, the idea of mathem
9、atical modeling, classification discussion idea, the thought of transformation, function and equation thought.1. cases of lifeSome people love to transfer the note folded into shapeThe folding process is this (note the shading indicates the opposite)Figure 1-1.Figure 1-1If the paper folded into the
10、rectangular strip (Figure 1) for 26 cmWidth of x cmAnswer the following questions:(1) in order to ensure the shape of the folded diagram (i.e. it at both ends beyond point P)Find the X range.(2) if not only the shape of the folded diagramBut for beautyI hope the paper ends beyond the point of P is e
11、qual to the length ofThe final graph is the axis of symmetryFind the starting point and the distance M A at the beginning of folding (x).I will figure in the paper respectively along PM, PQ foldingFolded open noteIt has been shown in Figure 1-2 with crease (dashed line) note (Mathematics). We find t
12、hat the isosceles right triangle hypotenuse is equal to the width of strip lengthPM equal to 5 times the width of the noteWhich column equation.Figure 1-2Solution: (1) by the process of origamiTo ensure that the discount note are beyond the point of PYou must meetLSolution;(2) the graph is symmetric
13、 figure of imprisonmentThe paper ends beyond the point of equal lengthNamelyWhen folded and the distance as the starting pointand* AM=. point M and point A (cm.) is the distanceSummary: the exquisite design, creativeThe students of the popular origami as the backgroundShow the rich connotation of Ma
14、thematicsThe material fresh, warmA concise and intuitive representationThe geometry and rich heritageIs very challenging. Not only examine the graphics transformation and axial symmetry, the equations and inequalities of knowledgeIt examines the practical ability and the ability of mathematical mode
15、lingStudents will practice into knowledgeThe perceptual to rationalThis is the design value. If not hands-on practiceJust imagineIt is difficult to get the correct results. Put forward higher requirements on the students drawing ability and practical ability. In the form of text, graphics and other hands-on introduction of a pattern (kind) design (production) processAccording to the process to complete the design or manufactureAnd on this basis to solve the encountered problems in the design or manufactur
