Junior high school mathematical geometry problem solving full strategy - full and similar one, how to solve the nature of the full equal triangle and the determination problem two, how to use the auxiliary line to solve the problem of the triangle full three, how to solve the judgment problem of similar triangle four, how to use the basic model of similar triangle to solve the problem five, how to use similarity to solve the problem of finding the law

Equal triangles and similar triangles are important geometric content in the eighth and ninth grades, in addition to being the hot spot of the proposition itself, but also as a problem-solving method to study other graphs, so their importance is self-evident.

directory

There are often 2 obvious conditions in the topic, so the next step is to find the third condition according to the five major judgments of the full equal triangle, which is also the basic skill of the eighth grade students, and it must be a little.

Conditional sharing

At the same time, it is also necessary to be familiar with the common full-class types, so that it can be said that the solution can be confident.

Examples

The problem of the full equal auxiliary line of the triangle is a more complex and important content in the plane geometry, so many students are very troubled by this. In fact, most of the auxiliary lines can find clues through known conditions, that is, they can be found regularly. Angle bisector lines, vertical bisectors, midlines, parallel lines, etc. can all be used as breakthroughs.

Summary of rules

The similarity of triangles is an important part of the examination, its question types are novel, the forms are diverse, often combined with parallel lines, parallelograms, circles and other knowledge, it is also possible to combine with quadratic functions, and the question types also increase the reading comprehension questions Open-ended test questions, inquiry questions and other new question types. In the review, attention should be paid to the cultivation of the ability to comprehensively apply this part of the knowledge.

Summary of similar judgments

The basic models of figure 8, anti-figure 8, a-shape, anti-a-shape, double vertical, and one-line three-isometric are commonly examined, so let's familiarize yourself with it.

Model 1

Model 2

Example 1

From the beginning of elementary school to find the law problem is the problem of the students' headache, junior high school to find the law problem has a lot of question types, this

The problem of using similarity to find a law is really a type of topic with a strong law.

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