Microsoft Word - HKU Talk doc

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午烘全
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1 In the figure, E is a diameter and E is a straight line. Find x. 圖中, E 是一直徑, E為一直線求 x E. 94 In the figure, O is the center of the circle. EO and E are straight lines. Find x. 圖中, O 為圓心, EO及 E均為直線求 x E. 68 In the figure, is a diameter of the circle. If : : = 3: 5: 7, then = 圖中, 是圓的直徑若 : : = 3 : 5 : 7, 則 = E. 7 P.1

2 In the figure, : : : E : E = 1: : 3: 4 :5. Find θ. 圖中, : : : E : E = 1: :3: 4 : 5 求 θ E. 10 In the figure, chords and intersect at E. The lenth of the minor are is three times the lenth of the minor arc. = 圖中, 弦與弦的相交於 E 劣弧為劣弧的三倍 = E. 56 In the figure, =. is the mid-point of arc. Which of the following is/are true? 圖中為劣弧的中點下列哪項為正確平分, =..? I. bisects( ) II. III. is a diameter of the circle( ). I only. I and II only. I and III only. II and III only E. I, II and III 為圓的直徑 P.

3 In the figure, is a diameter of the circle. It is given that and intersect at E. If E = θ, then = 圖中, 為圓的一直徑已知與相交於 E 若 E = θ, 則 =. sin θ.. cos θ.. tan θ. 1.. tanθ θ E In the figure, O is the centre of the circle. If O = 8, = 114 and O = 4 then = 圖中,O 為圓的圓心若 O = = 114 及 O = 4 =, 則 8 O, In the figure, O is the centre of the circle EF. PQR intersects the circle at,,,, E and F. If QPR = 38 and = = EF, then QOR = 圖中, O 為圓 EF 的圓心及 = = EF, 則 QOR = PQR 與該圓相交於,,,, E 及 F 若 QPR = P.3

4 In the figure, O is the centre of the circle, O and PQR are straight line. Find θ. 圖中, O是圓心, 且 O及 PQR均為直線求 θ E. 14 In the figure, O is the center of two concentric circle. OE and GF are straight lines. Which of the following is/are true? 圓中為兩圓的圓心及為直線下列哪一項為正確?, O. OE GF. I. // G II. F = G III., E, F 共圓 and are concyclic( ).... E. I only II only I and II only I and III only I, II and III In the figure, circle X passes through the centre of the circle Y. y = 圖中, 圓 X 通過圓 Y的圓心. y =. x. 180 x. 180 x. 1 (90 x ) E. 1 (180 x P.4

5 The figure shows a circle with diameter. If ==, find x+y+z. 圖中所示為一圓, 其直徑為若 ==, 求 x+y+z In the figure, TP and TQ are tangents to the circle at P and Q respecyively. If PQ = PR, which of the following must be true? 圖中, TP TQ分別為圓在 P Q點的切線若 PQ = PR, 問下列何者必為正確? I. II. PR = QRP QTP = QPR III. QPR = PR.... E. I only II only III only I and II only I, II and III In the figure, the three circles touch one another. XY is their common tangent.the two larger circles are equal. If the radius of the smaller circle is 4cm, find the radii of the larger circles. 圖中三個圓形相切求大圓的半徑.,. XY.. 4cm,. 8cm. 10cm. 1cm. 14cm E. 16cm 為三個圓形的公切線兩個大圓為相等大小若細圓的半徑是 P.5 Y

6 The nd and 10th term of an arithmetic sequence are 3 and 35 respectively. The 0th term of the sequence is 某等差數列的第和第 10項分別是 3和 35 該數列的第 0項是 In an arithmetic sequences, 0 numbers are inserted between a and b, then the last one is 在一等差數列中, 若 0 個數字加插在 a 及 b之間, 則最後一個為. 19a + b 0. 0a + b 1. 19b + 0 a. 0b + 1 a 15 The sum of the first two terms of a geometric sequence is of the sequenceis 8. Find the common ratio of the sequence. 某等比數列的首兩項之和為 15 及無限項之和為 8 求公比 or and the sum of infinity In the figure, = 90, = 9, = 4 and X. E is a rectangle with = X. What is the area of the rectangle E? 圖中, = 90, = 9, = 4 及 X E = X E 為一長方形而長方形的面積為 There is insufficient information.[ 資料不足夠 ] P.6? E 9 X 4

In the figure, is a rectangle. M is the mid-point of and M intersects at N. rea of N : rea of MN = 在圖中, 為一長方形 M 為的中點且 M 與相交於 N N 的面積 : MN 的面積 =. 1 : 1. 1 : N. : 1. 3 : M In the figure, is a parallelogram.

7 In the figure, is a rectangle. M is the mid-point of and M intersects at N. rea of N : rea of MN = 在圖中, 為一長方形 M 為的中點且 M 與相交於 N N 的面積 : MN 的面積 =. 1 : 1. 1 : N. : 1. 3 : M In the figure, is a parallelogram. If E : E = 3 :, find the area of EF : the area of EF. 在圖中, 為一平行四邊形若 E : E = 3 :, E 求 EF 的面積 : EF 的面積. : 3. 3 : 5 F. 9 : : 40 In the figure, E is a semicircle. is a rectangle and touches the semicircle at E. Find the area of the shaded region. 圖中所示, E 為一半圓. 為長方形及與半圓相交於 E. 求陰影部份面積.. 8π. 16π. 3π. 64π P.7

In the figure shows two concentric circles with radius 4cm and 1cm respectively. Each circle is divided into 10 equal parts by 10 radii. Find the area of the shaded region.

8 In the figure shows two concentric circles with radius 4cm and 1cm respectively. Each circle is divided into 10 equal parts by 10 radii. Find the area of the shaded region. 圖中, 兩個同一中心的圓半徑分別為 4cm 及 1cm. 每個圓都被 10 條半徑分為 10 等份. 求陰影部分的面積 π cm 7 π cm 80 π cm 144 π cm In the figure, the triangular pyramid is cut into three parts, and by two planes parallel to the base. The lengths of their slant edges are cm, 3cm and 5cm respectively. Find the value of volume of : volume of :volume of. 圖中, 一個三角錐體被兩個與其底平行的平面分成三部分斜棱的長分別為 cm 3cm 及 5cm 求的體積 : 的體積 : 的體積的值. 8 :19 : 98 cm. 8 : 7 :15. 8 :117 : :15 : cm 5 cm In t h e f ig u r e, a r ig h t tri a n g u la r p r is m E F is d iv i d e d in t o tw o p a r ts b y th e p la n e P Q R S w h ic h is p a r a lle l to th e b a s e F. v o lu m e o f th e p r is m P Q R E S G i v e n P : P = 1 :. F in d. v o lu m e o f th e p r is m E F 圖中, 直立三角柱體, 被一個與面平行的平面 EF F PQ RS PQ RES 分成兩部分, 已知角柱體的體積 P : P = 1 : 求 EF 角柱體的體積 P.8

Microsoft Word - 0.5bh.doc

Microsoft Word - 0.5bh.doc 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