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ПИЗА ДАЙЫНДЫ0 ТАПСЫРМАЛАРЫ ОҚУ САУАТТЫЛЫҚ. Гендіктрыданзгеріскешырааннімдер


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Task 18. The area figures.


In a rectangle with sides of 10 cm and 16 cm inscribed quadrilateral, three vertices are the midpoints of the three sides and the fourth vertex coincides with one of the vertices of the rectangle (Fig. 4).

Figure 4
Question 1.What is the area of the shaded figure?

Answer:_.

Question2.What dimensions of the shaded figure?

Answer:_.

Question3.What is the perimeter of the shaded figure?

Answer:.

Question4.On how many percent of the area of the shaded figure less than the area of the rectangle?

Answer:_.
Task19.Movement.

Two trains meet each other at velocities v1 = 60 km / h and v2 = 65 km / h.

After three hours, the distance between them was equal to 205..

Question1. How many kilometers traveled each train separately for three hours?

Answer:_.

Question2. How many hours will meet the train?

Answer:_.

Task 20. Square.


A square piece of paper with a side of 8 cm overshot on the dotted lines shown in Figure 5, and laid down a triangular pyramid.

Question.What is the volume of the resulting body?



Figure 5



Task 21. Polygon.

Figure 6 is given a mosaic made up of geometric shapes. Using drawing, answer the following questions.



Fig. 6
Question 1. How many rectangles in the picture? Answer:.

Question 2. How many right-angled triangles (with the smallest area) in the picture?

Answer:.

Question 3. How many isosceles triangles in the picture? Answer:.

Question 4. How many rhombus in the figure? Answer:.
Task 22. Movement.

First train speed of 70 km / h and at a second speed of 5 km / h less.

Question 1. How many kilometers will each train pass individually in 5 hours? Answer:.

Question 2. If the train went at once to meet each other on the road 270 km long, then after many hours of their meeting will be held?

Answer:.
Task 23. Thefunction and itsgraph.

Figure 7 shows a graph of the function f(х) ах2 bx c.



Fig. 7
Using the graph of the function, answer the questions.

Question1.Write down the coordinates of the vertex of the parabola.

Question2.Write down the equation of the axis of symmetry of the graph of the function.

Question3.Find the point of maximum function.
Task 24. Thefunction and itsgraph.

Figure 8 shows a plot of the function f(х) ах2 bx c.



Fig. 8
Using the graph of the function, answer the questions.

Question 1.Write down the coordinates of the symmetry of the function graph.

Question2.Find the coordinates of the minimum point of the function.

Question3.Record the set of values of the function, if the argument values belong to the interval [-1; 1].
Task 25. Thecorners.

What is the angle ABC, if the angle РOK = 230 (Fig. 9)?


Fig. 9


Task 26. Thecorners.

What is the angle ABC, if the triangle is equilateral triangle КВР (Fig. 10)?



Fig. 10


Task 27. Thecorners.

What is the angle of the CBO, if ВО bisector of the angle, the angle bisector of СВР, ВР angle ABC = 220 and angle of direct AВK

(Fig. 11)?



Fig. 11
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