加拿大數(shù)學(xué)10年級練習(xí)第四部分幾何

1、1. Find the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle.Wit12 a1317172. Find the area of the triangle with13/A = 41, b = 5 ft, and c = 4 ft. Round your answer to two decimal places.6.56 ft10.00 ft7.55 ft13.12 ftABCD if BD = 48 cm, AB = 25 cm, and BC = 26.

2、 The kite is not drawn to scale.2289 cm270 cm2816 cm2408 cm4. The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. About how much room is there between the ball and the rim in a shot in which the ball goes in exactly in the center of the rim?r4.2 in.

3、5 / 208.45 in.4.78 in.none of these5. Find the area.718 square units545 square units534.5 square units701 square units6. Name the major arc and find its l 275m.LL = 170m.Lx = 852757. Find the area of the regular polygon. Round your answer to the nearest tenth.40.0 in.220.5 in.67.6 in.110.

4、2 in.8. Name the minor arc and find its measure.m,2=275工m.Lil = 859. Find the area ofA ABC. The figure is not drawn to scale.B26.062cm28.002cm22.732cm24.952cma as an approximation of10. Find the circumference of the circle. Use3729cm0.0177 / 20111121 cm5二1 cm6工1 cm11. If a dart hits the target at ra

5、ndom, what it the probability that it will land in the unshaded region?212512. Find the area of the circle. Use=3.14 and round to the nearest hundredth.91.5616.965.72 m222.89 m213. Find the area of a regular pentagon with side 6 cm.276.6 cm61.9 cm一一245.2 cm2123.9 cm14. Find the probability that an o

6、bject falling randomly on the figure will land in the shaded area.0.320.360.50.26102.9 yd205.8 yd35.35 yd105.5 yd16. Two concentric circles have radii of 14 cm and 24 cm. Find the probability to the nearest thousandth that a point chosen at random from the circles is located outside the smaller circ

7、le and inside the larger one.0.0660.5830.66017. A slide that is f inches by - inches is projected onto a screen that is 3 p_1 feet by 7 feet, filling the screen. What will be the ratio of the area of the slide to its image on the screen?1 : 1121 :23042 : 42051 : 12,54418. Find the area of a regular

8、octagon with perimeter 48 cm.188.12cm190.52cm347.6173.820. Find the area.210.26 cm261.56 cm2cm2cm19. Dorothy ran 6 times around a circular track that has a diameter of 47 m. Approximately how far did she run?Use Tt = 3.14 and round your answer to the nearest meter.885 m1328 m443 m1734 mTt24 Tt in.34

9、8 7t in.356 7t in.3288n in.2. Find the volume of the cylinder in terms ofm.287 Tt in.275n in.275n in.287 Tt in.11 in.3. A sphere has a volume of 2883Ttft . Find the surface area of the sphere.864 Tt ft48 7t ft144 Tt ft 296 7t ft 24. The volumes of two similar solids are 2197 m3 and 64 m3. The surfac

10、e area of the larger one is 845 m2. What is1. Find the volume of the cylinder in terms of19 / 20the surface area of the smaller one?/， 264 m2320 m_ 4 280 m none of these5. Use a net to find the surface area of the prism.3 mIPtti1142402901456. Find the surface area of a sphere that has a diameter of

11、4 cm.64 Tt cm2323c cm4冗 cm2216 冗 cm7. Find the lateral area and the surface area of the cone. Use 3.14 for Ttand round the answer to the nearest hundredth.The diagram is not to scale.lateral area: 733.33 ft2; surface area: 690.80 ftlateral area: 6908.00 ft2;surface area: 1004.80 ftlateral area: 690.

12、80 ft2; surface area: 1004.80 ftnone of these8. If the ratio of the radii of two spheres is 7 : 2, what is the ratio of the surface areas of the two spheres?7 : 27r2Tt： 2 r2Tt49 : 4343 : 89. Use a net to find the surface area of the prism. my/7/'17 tu46572091893010. Find the height of the cylind

13、er to the nearest tenth of an inch.94.6 in.96.6 in.4.3 in.4.1 in.11. Use formulas to find the lateral area and the surface area of the prism. Showyour answer to the nearest hundredth.63.00 m2; 567.00 m 236.00 m2; 1134.00 m 479.22 m2; 533.22542.22 m2; 596.223942 m338 m_3945 m31890 m13. The volumes of

14、 two similar solids are 1331 m3 and 343 m 3. The surface area of the larger one is 484 m2. Whatis the surface area of the smaller one?2343 m21372 m 2196 mnone of these14. Find the surface area of the sphere.2324 Tt m72 Tt m2648 n m2_ _ _21296 7tm15. Find the volume of the prism.一一 340.5 m 3162 m9 m3

15、_ , 381 m16. Find the surface area of the solid. Round to the nearest square foot.36 ft 232 ft64 ft68 ft17. Use formulas to find the surface area of the prism. Show your answer to the nearest hundredth. 275.42 cm170.16 cm2 .286.94 cm一 一269.52 cm18. Which figure is a net for a cube?19. Cylinder A has

16、 radius 1 and height 4 and cylinder of the two cylinders.B has radius 2 and height 4. Find the ratio of the volumes5 : 61 : 21 : 120. Neil had a job helping a jeweler. He had the assignment of counting the faces, vertices, and edges on the emeralds. On the first emerald, Neil counted 9 faces and 16

17、edges. He quickly realized he didn't have to count the vertices.How many vertices were there?10 vertices7 vertices8 vertices9 verticesx if AB = 20, BC = 12, and CD = 13. (not drawn to scale)1. Find the value ofm/A = 22 andm .= 97. (not drawn to scale)53; 21053; 10575; 21075; 1053. In the plane o

18、f lines X and Y, what is the locus of points equidistant from linesX and Y?月 4->c <>口 < >line Aline Dline Bline C4. A small messenger company can only deliver within a certain distance from the company. On the graph below, the circular region represents that part of the city where the

19、 company delivers, and the center of the circle represents the location of the company. Which equation represents the boundary for the region where the company delivers?(x + 3) 2 + ( y 1)2 = 49(x + 3)2+ (y3)2= 98(x + 1)2+ (y3)2= 98(x + 3)2+ (y3)2= 495. A low-watt radio station can be heard only with

20、in a certain distance from the station. On the graph below, the circular region represents that part of the city where the station can be heard, and the center of the circle represents the location of the station. Which equation represents the boundary for the region where the station can be heard?(

21、x 4) 2 + ( y 5) 2 = 50(x + 5) 2 + ( y 5) 2 = 59(x + 5) 2 + ( y + 4) 2 = 25G (x + 5) 2 + ( y 5) 2 = 256. Find the center and radius of ( x 8) 2 + ( y + 7) 2 = 64.(8, 7); 8(7, 8)； 64(8,7)； 8(7,8); 8O at B. How close to the circle is pointA? (The diagram is not to scale.)34.57.58. Compare the quantity

22、in Column A with the quantity in Column B.The quantity in Column A is greater.The quantity in Column B is greater.The two quantities are equal.The relationship cannot be determined from the information given.2121 / 2056228.19.413.448) that passes through (0, 0).11. Write the standard equation for th

23、e circle with center (14,C (x 14) 2 + ( y + 48) 2 = 2500口 (x + 14) 2 + ( y48) 2 = 2500(x + 14) 2 + ( y48) 2 = 50(x 14) 2 + ( y + 48) 2 = 5030°1503460°13. Find the value of x.D79399915914. In space, which description fits the locus of points 3 cm froman open cylinder of diameter 6 cman open cylinder of radius 3 cm and two hemispheres of diameter 6 cm eachan open cylinder of radius 3 cm and height 6 cman open cylinder of diameter 6 cm and two spheres of radius 3 cm each15. a and FB are tangent to circle O and FD bisects / BPA. If m/A