First, fill in the blanks:
1, the coefficient of single item is, and the degree is.
2、( 1) = (2) =
3. If one angle of an isosceles triangle is 50 degrees, then its base angle = degrees.
4. Write a graphic name with at least two symmetry axes.
5. If the cyclic sum of a rectangle is 4a+2b and the width is a-b, then its length is
6. The side length of a square is millimeter and the volume is millimeter 3.
7. The distance between the earth and the moon is about kilometers, and the speed of an airplane is about kilometers per hour. If the plane flies from the earth to the moon, it will take about a few days.
8. The population of our country in 2000 is about. This approximate number is accurate to one decimal place and has a significant figure.
8. There is a clock opposite the mirror. If someone sees the clock in the mirror is 9: 30, then the actual time is
9. A triangle with an angle of 60 and an axis of symmetry is a triangle.
10, as shown in the figure, AB∥D, EF⊥D, ∠ 1 = 50, then ∠ EFG = 0.
1 1, pi-3. 14 15926 ..., accurate to 0.000 1 by the four-shed method, the approximate value is, and there are significant figures.
12, a TV variety show received 4500 hotline calls, and now we have to select 30 "lucky viewers" from them. Xiaoying made a hotline call, so the probability of her becoming a "lucky audience" 3 is?
13, as shown in figure (1): △ ABC, ∠ ACB = 90, ∠B and ∠2 are complementary, so the relationship between ∠ 1 and ∠B is
14, known as: a+b=6, ab=3, then
10, the obtuse angle formed by bisectors of two acute angles of a right triangle is degrees.
15. If the three sides of a triangle are 5, 8 and x respectively, then the value of x is less than and greater than.
16, as shown in figure (2): △ ABC, ∠ ACB = 90, DB is the bisector of △ ABC, point E is the midpoint of AB, and DE⊥AB, then the congruent triangles in the figure is.
17, as shown in figure (3): ∠ cab = ∠ DAE. In order to make △ Abd△ ace, two conditions need to be added.
Second, multiple-choice questions:
1, in the following conditions, it can be determined that the congruence of two right triangles is ().
(a) An acute angle is equal; (b) The two acute angles are equal; (c) one side is equal; (d) Two right-angled sides are equal.
2. If the lengths of three sides of a triangle are three continuous natural numbers, its perimeter L satisfies 10.
2 (B)3 (C)4 (D)5。
3. In △ABC, where AD⊥BC, AB=C, AE=F, the logarithm of congruent triangles in the figure has ().
(a) 5 pairs (B)6 pairs (C)7 pairs (D)8 pairs
4, the following calculation is correct ()
(A) (B)
(C) (D)
5. The radius of a bacterium is 0.000047 meters, which is expressed as () by scientific notation.
(a) Instrument (b) Instrument (c) Instrument (d) Instrument
6. If the value of the algebraic expression is 5, the value of the algebraic expression is ().
10(B) 1(C)-4(D)-8
7. In order to promote sales, a shopping mall set up a freely rotating turntable for customers to win prizes. Customers can turn the turntable once after shopping in 200 yuan. The turntable is divided into 25 sectors, of which 2 sectors are painted red, 3 sectors are painted yellow and 6 sectors are painted green. If the turntable stops and the pointer is aimed at the red, yellow or green area, the customer can get 65,438+000 yuan and 50 yuan respectively.
(A) (B) (C) (D)
8. Give the following graphic names: (1) line segment (2) right angle (3) isosceles triangle (4) parallelogram (5) rectangle, where () is an axisymmetric graphic.
1 (B)2 (C)3 (D)4。
Third, solve the following problems:
1、 2、 3、
4. As shown in the figure: a rectangle with a length of 10cm and a width of 6cm, cut four small squares with a side length of X at four corners, make a rectangular box with a bottom and no cover according to the crease, and try to find the volume of the box.
Fourth, painting questions:
If △ABC is known, make a triangle with one side of △ABC as the edge, so that the triangle is congruent with △ABC. There is only one picture on each side, without words, but with traces of painting.
V. Answering questions:
1, as shown in the figure: Quadrilateral ABCD and Quadrilateral AEFG are two squares with different sizes (Note: the four sides are equal and the four corners are right angles; Four sides are squares). Please answer the following questions according to the chart:
(1) Write all the complementary angles in the diagram;
(2) Write all the complementary angles in the diagram; (except right angle)
(3) Are there congruent triangles in the graph? If you please write, and indicate the congruence reason;
(4) Write all isometric angles (except right angles) of the diagram.
2. As shown in the figure, it is known that the bisector of ∠ABC and ∠BCD in △ABC passes through point O. If it passes through point O, draw EF∨BC passes through point E and AC passes through point F;
(1) Write the isometric angle that the letters in the picture can represent, and explain the reasons;
(2) If ∠ABC = 60° and ∠ ACB = 80, find the degrees of ∠ A and ∠BOC;
(3) Please guess the relationship between ∠BOC and ∠A degree according to the answer in (3).
3. As shown in the figure, one side of the triangle BC=a is fixed. When the vertex A moves in the vertical line L of BC, the area S of the triangle also changes. The figure below shows the changing law of this clock. Answer the questions according to the following two pictures:
(1) The practical significance of point A is
(2) In isosceles △ABC, bottom BC =；;
(3) Write the relationship between the area S(cm2) of △ABC and the side height h(cm) of BC.
Six,
1, the table reflects the data of birth rate, death rate and natural growth rate of each continent in 1997:
Birth rate% death rate% natural growth rate% in mainland China
Africa 40 14 26
North America 1596
Latin America 25 7 18
Asia 24 8 16
Europe 10 12-2
Oceania 198 1 1
Answer the following questions based on the above data:
(1) Write the relationship between birth rate, death rate and natural growth rate;
(2) Which continent has the highest birth rate? Well, which state has the highest mortality rate? Which continent has the lowest natural growth rate?
(3) Use an appropriate statistical chart to represent the above data, and your statistical chart should be as vivid as possible;
(4) Combined with the data reflected in the chart, do you think the change of population is related to the economy? Tell me your reasons.
2. The following figure shows the change of speed v (km/h) with time t (min) when the car is driving;
(1) From point A to point B, point E to point F, and point G to point H, what state does the car show?
(2) Describe the driving situation of the car from 0 minutes to 28 minutes;
(3) What is the speed of point A? What about point C?
(4) The driver starts driving at a constant speed for 4 minutes at the 28th minute, and then immediately stops driving at a reduced speed for 2 minutes. Please fill in the diagram of the relationship between vehicle speed and driving time after 28 minutes.