198 FG7. 199 HG8 E 圖中,DE 為一正方形, = 及 為一邊長 1 cm 的等邊三角形, 而 為此 = 90 若 DE 的面積為 10 cm, 三角形內的任意一點 ( 如圖所示 ) 若 至三邊 求 的面積 及 的垂直距離的總和為 x cm, 求 x 的值 In the figure shown, DE is a square and is an equilateral triangle of side 1 cm, and is =, = 90. Find the area of D any point inside the triangle (as shown in the figure). if the area of DE is 10 cm. If the sum of the perpendicular distances from to the 198 FG10.1 three sides, and is x cm, find the value of x. 一正方形內接於一直徑為 10 之圓 若 為正方形的面積, 求 的值 If is the area of a square inscribed in a circle of diameter 10, find the value of. 1985 FSG. 一正方形內接於一個半徑為 10 之圓 若正方形之面積為, 求 的值 If is the area of a square inscribed in a circle of radius 10, find the value of. 1985 FG6. 如附圖所示, 及 若, d =, h, 求 h 的值 In the figure, and. If, d =, h, find the value of h. 1985 FG9.1 LM 之三邊長分別為 8 15 及 17 若 LM 之面積為, 求 的值 The lengths of the sides of LM are 8, 15 and 17 respectively. If the area of LM is, find the value of. 1989 FI. 一正方形內接一個直徑為 16 的圓 設正方形的面積為, 求 的值 If is the area of a square inscribed in a circle of diameter 16, find the value of. 1991 FSG.1 一等邊三角形的高是 8 cm, 面積是 a cm 求 a 的值 The height of an equilateral triangle is 8 cm and the area of the triangle is a cm. Find the value of a. h d 199 FI5. 圖中,b = 15, 求 c 的值 In the figure, b = 15, find the value of c. 199 FI.1 若 sin = 5, 求四邊形面積 a If sin = 5, find a, the area of the quadrilateral. 199 FI.1 在正方形 QRS 中,Y 為 QR 之中點, 且 X = 若 為陰影部分三角形面積與正方形面積的比, 求 的值 In square QRS, Y is the mid-point of the side QR and X = Q. If is the ratio of the area of the shaded triangle to the area of the square, find the value of. M b Q c L 5 0 0 1 X Q Y S R http://www.hkedcity.net/ihouse/fh7878 age 1
1995 FI5. 如圖,D 為一長方形 E D 且 E = EO = 求長方形 D 之面積 d Refer to the figure, D is a rectangle. O E D and E = EO =. E Find d, the area of the rectangle D. 00 FI1.1 在右圖中,D 是一邊長為 10 cm 的正方形,E FED 及 F 為直綫, ED 的面積比 FE 的面積大 10 cm 若 DF 的面積為 cm, 求 的值 In the following figure, D is a square of length 10 cm. E, FED and F are straight lines. The area of ED is larger than that of FE by 10 cm. If the area of DF is cm, find the value of. 00 FI.1 將一長方形紙摺出以下的圖形 若 的面積是原長方形紙面積 的 1, 求 的值 rectangular piece of paper is folded into the following figure. If the area of is 1 of the area of the original rectangular piece of paper, find the value of. 00 FI. 在下圖中,D 為一長方形 E 和 F 分別是 和 上的點 三角形 ED EF 和 FD 的面積分別為 和 5 若 EFD 的面積為 Q, 求 Q 的值 In the following figure, D is a rectangle. E and F are points on and respectively. The areas of triangles ED, EF and FD are, and 5 respectively. If the area of EFD is Q, find the value of Q. D 00 FG.1 已知三角形三邊的長分別為 6 8 和 10 若這三角形的面積為 a, 求 a 的值 It is given that the lengths of the sides of a triangle are 6, 8, and 10. If the area of the triangle is a, find the value of a. 00 HG9 圖中, 扇形 為半徑是 cm 的圓的四分之一, 且兩個陰影部分的面積相等 設梯形 D 的面積為 cm, 求 的值 ( 取.1) In the figure, the sector is one quarter of a circle with radius cm. Suppose the areas of the two shaded parts are equal. Let the area of the trapezium D be cm, find the area of. (Take =.1) 00 FG. 如圖, 正方形 QRS 內接於 Q S 和 QR 的面積分別為 和 1 若正方形 QRS 的面積為 c, 求 c 的值 In the figure, the square QRS is inscribed in. The areas of Q, S and QR are, and 1 respectively. If the area of the square is c, find the value of c. 00 FI. 如圖,E 是一等邊三角形, 和 D 分別在 E 和 E 上 已知 D //, = D = R, 且 D 若梯形 D 的面積是 S, 求 S 的值 In figure, E is an equilateral triangle, and, D lie on E and E respectively. Given that D //, = D = R and D. If the area of the trapezium D is S, find the value of S. http://www.hkedcity.net/ihouse/fh7878 age
005 FG.1 如圖, 在長方形 D 中, 6 cm, 10 cm M 和 分別是 和 D 的中 點 若陰影部分的面積是 00 FIS.1 如圖, 為一銳角三角形, = 15, = 1, 而高 D = 1 若 的面積為, 求 的值 In the figure, is an acute triangle, = 15, = 1, and its altitude D = 1. If the area of the is, find the value of. 00 FG. 如圖, 是一直角三角形, = cm, = cm 及 = 5 cm 若 DE 是一正方形且 E 的面積是 b cm, 求 b 的值 In the figure, is a right-angled triangle, = cm, = cm and = 5 cm. If DE is a square and the area of E is b cm, find the value of b. 005 HG 已知正方形 D 的面積是 10 cm 及圓 O 經過點 及 D 若圓 O 的面積是 b cm, 求 b 的值 ( 取 =.1) Given that the area of a square D is equal to 10 cm and a circle O passes through the points,, and D. If the area of the circle O is b cm, find the value of b. (Take =.1) 005 HG9 已知在三角形 內的一點 O 到三角形三邊的垂綫的長度均為 cm, 而 的周界為 1 cm 若 的面積是 k cm, 求 k 的值 Given that the perpendicular distances from the point O to three sides of a triangle are all equal to cm and the perimeter of is equal to 1 cm. If the area of is equal to k cm, find the value of k. a cm, 求 a 的值 In the figure, D is a rectangle, = 6 cm and = 10 cm. M and are the midpoints of and D respectively. If the area of the shaded region is a cm, find the value of a. 008 HI 已知梯形 QRS 的邊長分別為 Q 6 cm QR 15 cm RS 8 cm 及 S 5 cm, 並有 QR // S 若 QRS 的面積為 Y cm, 求 Y 的值 Given that a trapezium QRS with dimensions Q = 6 cm, QR = 15 cm, RS = 8 cm and S = 5 cm, also QR // S. If the area of QRS is Y cm, find the value of Y. 009 HI10 如圖,D 是一矩形 E 及 F 分別在 D 及 D 上使得 F = 8 cm 及 E 5cm 已知陰影部分的面積是 80 cm 設矩形 D 的面積為 g cm, 求 g 的值 In the figure, D is a rectangle. oints E and F lie on D and D respectively, such that F = 8 cm and E = 5 cm. Given that the area of the shaded region is 80 cm. Let the area of the rectangle D be g cm, find the value of g. 009 HG6 如圖,D 是一正方形且 M = = DE = F = 1 cm 及 M = cm 設四邊形 QRS 的面積為 c cm, 求 c 的值 In the figure, D is a square and M = = DE = F = 1 cm and M = cm. Let the area of quadrilateral QRS be c cm, find the value of c. http://www.hkedcity.net/ihouse/fh7878 age
009 FI. 018 HI8 如圖, 是一直角三角形, = = cm 如圖所示, 兩個邊長為 x cm 的正方形於一角重疊 已知直徑為 的圓與 相交於 D 且陰影部分的面 若兩個正方形的非重疊部分與重疊部分面積的比是 積是 n cm, 求 n 的值 a : 1, 求 a 的值 In the figure, is a right-angled triangle, = s shown in the figure, two squares with side x cm = cm. Suppose that the circle with diameter coincides at one corner. If the ratio of the 0 intersects the line at D, and the total area of the non-overlapping area to the overlapping area of the two shaded region is n cm 0. Find the value of n. squares is a : 1, find the value of a. 015 HG 已知等邊三角形 的邊長為, 為三角形內的一點 設 X Y 及 Z 分別為 至三角形三邊 及 的垂足, 求 X + Y + Z 的值 Given an equilateral triangle with each side of length and is an interior point of the triangle. Let X, Y and Z be the feet of perpendiculars from to, and respectively, find the value of X + Y + Z. 015 FG. 右圖中, 每個小三角形的面積皆為 1, 求三角形 的面積的值 In the figure below, the area of each small triangle is 1. Determine the value of the area of the triangle. 017 HG6 在圖中, 正方形 D 的邊長為 0 已知 DK : K = H : H = 1 : 及 K // GD,H //, 求陰影部分 QRS 的面積 In the figure, square D has sides of length 0. Given that DK : K = H : H = 1 : and K // GD, H //, find the area of shaded region QRS. H Q G R K S D http://www.hkedcity.net/ihouse/fh7878 age
nswer 1985 FG6. 198 FG7. 198 FG10.1 1985 FSG. 5 cm 1 1985 FG9.1 50 00 60 5 1989 FI. 1991 FSG.1 199 HG8 199 FI5. 199 FI.1 18 6 1 16 199 FI.1 1995 FI5. 5 00 FI1.1 00 FI.1 00 FI. 16 0 1 8 16 00 FG.1 00 HG9 00 FG. 00 FI. 00 FIS.1 0.56 16 5 8 00 FG. 9 005 HG 005 HG9 005 FG.1 008 HI 0.1 1 15 96 009 HG6 009 FI. 015 HG 009 HI10 9 015 FG. 00 10 017 HG6 16 018 HI8 1 http://www.hkedcity.net/ihouse/fh7878 age 5