1. Countless line segments can be drawn from a point outside the line to this line, the shortest of which is the line segment with this line ().

2. In the figure below, ∠ 1= () degrees, ∠2= () degrees.

In a triangle, the smallest angle is 46 degrees. According to the angle classification, this triangle is () triangle.

4. The figure below is a graph composed of three circles with equal radii, with () symmetry axes.

5. Percent indicates what percentage of the total graphic area is shaded below.

6. Cut off a cylinder with a base diameter of 2 decimeters and a cylinder with a height of 1 decimeter, and the surface area of the original cylinder is reduced by () square decimeter.

7. The ratio of perimeter to area is ().

8. The picture on the left is made of a small cube with a side length of 1 cm, and the surface area of this geometry is () square cm. At least () such small cubes are needed to form a big cube.

9. Draw a circle with a circumference of 25. 12 cm. The distance between the two feet of the compass is () cm, and the area of the circle drawn is ().

10. The side length of the small square below is 1cm. Estimate the area of "Fuwa" in Figure ① and calculate the area of the shaded part in Figure ②.

1 1. A trapezoid, the upper bottom is a cm long, the lower bottom is b cm long and the height is h cm. Its area is () square centimeters. If a=b, then this figure is a () shape.

12. The largest circle is seen on a square plate with a side length of 20 cm. The area of this circle is () square centimeters, and the remaining scraps are () square centimeters.

13. Cut a big cube into eight small cubes of the same size. The surface area of each small cube is 18cm2, and that of the original cube is () cm2.

14.5 cubic wooden cases with a side length of 30cm are stacked in the corner (as shown below), and the exposed surface area is () cm2.

15. As shown in the left figure, it is known that the side length of a large square is a cm, and the side length of a small square is b cm. The area of the shaded area represented by letters is () square centimeters.

16. (upper right) According to the left picture, it is estimated that the area on the right picture is () square centimeters.

Second, multiple choice questions.

1. Xiaoqing is sitting in the third row and the fourth column of the classroom, which is represented by (4,3). Xiaoming is sitting in the classroom 1 in the third column, which should be indicated by ().

A.( 1，3) B. (3， 1) C. ( 1， 1) D. (3，3)

2. On the same plane, draw a vertical line of a known straight line, and you can draw ().

A. 1 Article B. 4 Article C. 2 Article D. Countless Articles

3. Look at an angle of 40 with a magnifying glass of 100 times, and the degree of this angle is () degrees.

A.4b 40 c 400d 4000

4. The picture below shows the bracket nailed with wooden strips, but it is not easy to deform ().

5. The article with the largest number of symmetry axes in the picture below is ().

6. The barrel area refers to the barrel ().

A. Surface area B. Volume C. Volume D. Bottom area

7. Among the following shapes, the one whose cross-sectional shape can't be rectangular is ().

8. A three-dimensional figure composed of cubes. The figure on the front is naughty, but from the top, it takes at least () small cubes to make such a three-dimensional figure.

A.4 B. 5 C. 6 D. 7

9. There are two circles with different sizes, and the diameter increases by 1cm, so their perimeters are ().

A. the big circle has increased a lot. B. the number of small circles has increased a lot. C.it has increased by the same amount.

10. A cube, with six faces painted red, and then cut into 27 cubes of equal size, three of which are red.

A.4 B. 12 C. 6 D. 8

1 1. The picture on the left is probably an enlarged schematic diagram of ().

12. There are two boxes of tonics, which are packaged in the following three ways. What do you think () is?

13. The relationship between the space occupied by Figure A and Figure B is A () B.

14. Compared with the perimeters of A and B in the figure below, the result is (), and compared with the area, the result is ().

A.A is bigger than B, A is smaller than B, and C is as big as B, so they can't be compared.

Third, judge the question.

1. A ray is12m long. ( )

2. When two straight lines intersect, there must be two intersections. ( )

3. An angle less than 180 is an obtuse angle. ( )

The shorter the sides of the angle are drawn, the smaller the angle is. ( )

5. You can spell the angle of 105 with a pair of triangles. ( )

6. Make a big cube with eight small cubes, and the surface area will definitely decrease after taking a small cube at will. ( )

7. Any cuboid has 8 faces, 12 sides and 6 vertices. ( )

8. A parallelogram with right angles is a rectangle or a square. ( )

9. Draw a circle with the distance between the two feet of the compass as 4 cm, and the radius of this circle is 2 cm. ( )

10. After the rectangle is drawn into a parallelogram, the area remains unchanged. ( )

1 1. The circumference of a semicircle is half that of a circle. ( )

12. If the side length of a square is equal to the diameter of a circle, then the circumference of the square must be greater than the circumference of the circle. ( )

13. A cube with a side length of 6 cm has the same surface area and volume. ( )

Fourth, the operation questions.

1. Draw Figure B and Figure C on square paper according to the following requirements.

(1) Take the straight line MN as the axis of symmetry, and draw the symmetrical figure B of Figure A..

(2) Translate figure B 4 squares to the right, and then rotate it 90 degrees clockwise around point O to get figure C .. (Chengguan District, Lanzhou City, Gansu Province)

2. Draw all the symmetry axes in the picture below. (Jiangsu Nanjing Normal University Primary School)

3. Draw the figures seen from the front, left and above on the square paper. (Changsha City, Hunan Province)

4. Draw two circles so that their area ratio is 1: 4, and the figure they form has countless symmetry axes. (Shaxian County, Fujian Province)

5. Answer the following questions according to the information in the picture:

(1) The included angle between the route from the station to the school and the route from the amusement park to the school is ().

(2) The cinema is 500 meters away from the school, just northeast of the school, and the route is perpendicular to the route from the school to the station. What is the distance from the school to the cinema on the map? Please draw the route from the school to the cinema in the picture and mark the location of the cinema.

(3) According to the distance on the map, find out the actual distance from the school to the station. (Linhai City, Zhejiang Province)

6. In production and life, we often bind some cylinders with the same size together. Let's discuss how to find the length of the rope when binding. Assuming that the diameter of each cylindrical tube is 10 cm, when the cylindrical tubes are placed in a "single-layer flat" manner, the cross section after bundling is shown in the following figure:

Please complete the following table according to the chart:

5. Calculation of perimeter and area.

1. What is the circumference of the shaded part in the picture below?

2. Guangming Community should transform a quadrangle of idle land (as shown below, unit: meter) into a community garden. Please help me calculate: what is the area of this idle land?

3. It is known that the area of the shadow part is 8 square centimeters, so find the area of the circle.

4. As shown in the figure below (unit: meter), the shaded area is sum, and the ratio of sum is 1: 4, so,,.

5. In the figure below, the side length of the square is 2 cm, the radii of the four circles are all 1 cm, and the center of the circle is the four vertices of the square. Find the area of the shaded part.

6. Make a round wooden cover for the water tank. The diameter of the wooden cover is 0.8 meters .. What is the area of the wooden cover? If a piece of iron sheet is nailed along the outer edge of the wooden cover, how long is the iron sheet at least?

7. The distance between teacher Liu's home and school is 3000 meters. At 7: 30 in the morning, he goes to work from home by bike. The outer diameter of the bicycle wheel is 70 cm, and the average speed is 100 rpm. If school starts at 8 o'clock, will Mr. Liu be late? what do you think?

Six, the calculation of surface area and volume.

On Mother's Day, Xiaoming gave his mother a teacup. (As shown in the figure below, unit: cm)

(1) The decorative belt in the middle of the teacup is very beautiful, which Xiao Ming put on specially for fear of burning his mother's hand. The width of this decorative belt is 5 cm. How long is the decorative tape at least after it is unfolded? (Ignored at joints)

(2) What is the volume of this teacup?

2. A factory wants to produce 100 cylindrical iron ventilation pipes. It is known that the nozzle radius of each ventilation pipe is 0.2m and the length is1.4m. How many square meters of iron sheets are needed to produce these cylindrical ventilation pipes? (Ignore the interface between vent pipe and waste, and keep the gain integer. )

3. Forging a cubic billet with a side length of 0.5m into a rectangular steel with a cross-sectional area of 10 square decimeter. How long is forged steel? (Equation solving)

4. Red Star Village dug a cylindrical ammonia pond with a diameter of 4 meters and a depth of 3 meters in the open space.

(1) If the wall and bottom of the pond are plastered, what is the plastering area?

(2) How many cubic meters of ammonia can this pool store?

5. There is a conical tent with a bottom diameter of about 5 meters and a height of about 3.6 meters.

How many square meters does (1) cover?

(2) How many cubic meters is it?

Seven, expand the ability.

1. Find the shaded area in the square below. The side length of a square is 4 cm.

2. The rectangular ABCD is divided into four parts with equal area by dotted lines (as shown in the figure below, in cm). Try to find the length of the line segment.

3. The perimeters of the four equal circles in the figure are all 50.24cm. Find the area of the shaded part.

4. The figure below consists of 19 cubes with a side length of 2 cm. Find the surface area of this three-dimensional figure.

A cat chased a mouse, the mouse ran in the direction of A B C, and the cat ran in the direction of A D C. As a result, the mouse was caught at point E. The speed ratio between the mouse and the cat was 17: 20, the distance between point C and point E was 3 meters, and the quadrilateral ABCD was a parallelogram. Cats and mice spend the same time.

(1) How many meters did the cat run more than the mouse before catching up with the mouse?

(2) What is the circumference of the quadrilateral where the cat and mouse run?