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第十二章方程及恒等式

第十二章方程及恒等式. 1. 方程和恒等式的分別. 2. 証明方程是否是恒等式. 3. 三條重要的恒等式. (A – B )(A + B) = A 2 – B 2 (A + B) 2 = A 2 + 2AB + B 2 III. ( A – B) 2 = A 2 – 2AB + B 2. 展開式. ( A + B )( A – B ). +A 2. +B 2. -A B. +B A. = A 2 + B 2. 兩數之和乘以兩數之差等於兩數各自平方的和. (A + B) 2. = ( A + B )( A + B ).

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第十二章方程及恒等式

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  1. 第十二章方程及恒等式 1. 方程和恒等式的分別 2. 証明方程是否是恒等式 3. 三條重要的恒等式 • (A – B )(A + B) = A2 – B2 • (A + B)2 = A2 + 2AB + B2 • III. ( A – B)2 = A2 – 2AB + B2

  2. 展開式 (A + B)(A – B ) +A2 +B2 -AB +BA = A2 + B2 兩數之和乘以兩數之差等於兩數各自平方的和

  3. (A + B)2 = (A + B)(A +B ) +A2 +B2 +AB +BA = A2 + 2AB + B2

  4. (A – B )2 = (A – B )(A – B ) +A2 +B2 -AB -BA = A2 - 2AB + B2

  5. 挑戰題： 1. S4 – K4 2. S2 – K2 – S – K 3. S2 + 2SK + K2 - 16 4. 9(S + K)2 – 100(P2 – 2PQ + Q2 )

  6. 心算題： 1. 234567892 - 134567892 2.

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