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№1 слайд![Median, bisector and the](/documents_6/424da10a9693195b9322fc05a7f83731/img0.jpg)
Содержание слайда: Median, bisector and the height of the triangle
№2 слайд![Goals lesson Education](/documents_6/424da10a9693195b9322fc05a7f83731/img1.jpg)
Содержание слайда: 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
№3 слайд![Plan lesson Greeting min](/documents_6/424da10a9693195b9322fc05a7f83731/img2.jpg)
Содержание слайда: 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)
№4 слайд![The median of the triangle -](/documents_6/424da10a9693195b9322fc05a7f83731/img3.jpg)
Содержание слайда: 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 .
№5 слайд![The properties of the medians](/documents_6/424da10a9693195b9322fc05a7f83731/img4.jpg)
Содержание слайда: 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.
№6 слайд![The bisector of the triangle](/documents_6/424da10a9693195b9322fc05a7f83731/img5.jpg)
Содержание слайда: 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
№7 слайд![Each triangle can be carried](/documents_6/424da10a9693195b9322fc05a7f83731/img6.jpg)
Содержание слайда: 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.
№8 слайд![Properties triangle bisectors](/documents_6/424da10a9693195b9322fc05a7f83731/img7.jpg)
Содержание слайда: 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.
№9 слайд![The height of the triangle -](/documents_6/424da10a9693195b9322fc05a7f83731/img8.jpg)
Содержание слайда: The height of the triangle - the perpendicular drawn from the vertex
triangle to the line containing the opposite side.
№10 слайд![For example For example Two](/documents_6/424da10a9693195b9322fc05a7f83731/img9.jpg)
Содержание слайда: 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
№11 слайд![Classwork p , , , Classwork p](/documents_6/424da10a9693195b9322fc05a7f83731/img10.jpg)
Содержание слайда: Classwork: p78 №18,19,20,21
Classwork: p78 №18,19,20,21
Homework: p78 №22,23,24