中視聶小倩線上看 , 聶小倩線上看第二集 , 聶小倩 中視 , 聶小倩電視劇 , 聶小倩

第1題
(1) 過P點最短弦 = 2 * 根號(13的平方-5的平方) = 2 * 12 = 24
(2) 過P點最長弦 = 經過線段OP的弦 = 圓的直徑 = 26
(3) 依據(1)(2), 24≦x≦26
(4) 因為OB=OC,BM=CM(因為M為線段BC的中點)
故可證明三角形OBM 全等於 三角形OCM
所以∠OMB=∠OMC=1/2*180度=90度
故得證OM⊥BC
所以 BC = 2 * 根號(6的平方-4的平方) = 2 * 2*根號5 = 4√5
Ans: (1) 24 (2) 26 (3) 24≦x≦26 (4) 4√5

第2題
設圓O1半徑=R1 , 圓O2半徑=R2 , 圓O3半徑=R3
因為 O1O2=9 , 所以 R1 = 9 + R2 .....(1式)
因為 O2O3=7 , 所以 R2 + R3 = 7..... (2式)
因為 O3O1=8 , 所以 R1 = 8 + R3 .....(3式)
根據以上三式可解得 R2=3
圓O2的面積 = Π * 3的平方 = 9Π
Ans: 9Π 平方單位 (Π為圓周率)

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