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Слайды и текст этой презентации

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Описание слайда:

Median, bisector and the height of the triangle

Слайд 2

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Goals lesson Education: Introduction of new concepts heights, medians and bisectors of a triangle. Educational: to educate the ability to listen and hear. Developing: Develop a stable cognitive interest in the study of geometry

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Plan lesson Greeting (2min) Organizing time (3min) To explain the new material (15min) Work together with the teacher (15min) Reflection (5min) Give homework (2min) Summarizing time (3min)

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The median of the triangle - the segment connecting the top with the middle of the triangle opposite side. In any triangle, you can spend 3 median. All of them intersect at a single point, the center (center of gravity) of the triangle. The median of the triangle - the segment connecting the top with the middle of the triangle opposite side. In any triangle, you can spend 3 median. All of them intersect at a single point, the center (center of gravity) of the triangle. - median О - center .

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The properties of the medians of a triangle The properties of the medians of a triangle 1. The median divides the triangle into two triangles of equal area. 2. The medians of a triangle intersect at one point, which divides each of them in the ratio of 2:1, starting from the top. This point is called the center of gravity of the triangle. 3. The whole triangle is divided into six their medians of equal triangles.

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The bisector of the triangle - the segment bisector angle of the triangle, connecting the apex of the triangle with the point on the opposite side. Please note that the bisector of the angle - a ray that divides the angle equal to two, and the bisector of the triangle - is cut, part of the beam, limited side of the triangle. The bisector of the triangle - the segment bisector angle of the triangle, connecting the apex of the triangle with the point on the opposite side. Please note that the bisector of the angle - a ray that divides the angle equal to two, and the bisector of the triangle - is cut, part of the beam, limited side of the triangle. - bisector , - bisector

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Each triangle can be carried out three bisectors that intersect at a single point, usually denoted Latin letter I. The point of intersection of the bisectors of the triangle (I) - Center the in circle. Each triangle can be carried out three bisectors that intersect at a single point, usually denoted Latin letter I. The point of intersection of the bisectors of the triangle (I) - Center the in circle.

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Properties triangle bisectors Properties triangle bisectors The bisector of angle - a locus of points equidistant from the sides of the angle. Bisector internal angle of a triangle divides the opposite side into segments proportional adjacent sides: x / y = a / b. The point of intersection of the bisectors of the triangle is the center of a circle inscribed in the triangle.

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The height of the triangle - the perpendicular drawn from the vertex triangle to the line containing the opposite side.

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For example: For example: Two triangles are equal to the angle of 58º and 72º. Find an obtuse angle, which form a triangle of height, coming out of the tops of these angles. Answer give degrees. From the triangle ACH (angle H - straight) find the angle CAH. He is 18º. From the triangle ACK (K - line) find the angle ACK. He is 32º. In a triangle AOC two angles are known. We find the third, that is AOC, the angle which is obtuse angle between the height of the triangle ABC: Answer: 130º