(3)設a > 0，b > 0 ，c > 0且a+b+c = 18，由(2)之結果，試求出(a+1)(b+2)(c+3 之最小 值及此時之 a，b，c 之值。

【已刪除】8. △ABC 中， 至 ，由各邊分別向外作正三角形。已知此三個 向外所作正三角形的重心會形成一個新的正三角形，求此新正三角形的面積為_____

【已刪除】9. 設 x ∈R  ，求 的最大值為____

1. (1)試將a3+b3+c3-3abc 因式分解。

【已刪除】(2)設a > 0，b > 0 ，c > 0由(1)之結果，證明

【已刪除】2. △ ABC 中，若∠=  B 54 °，則∠ = C ？

【已刪除】3. 若 x 、 y 、 z 都是正數且滿足，求 xyz 的值？

VI. Translation: 10 %， 1. 反核遊行的目的就是要讓社會大眾更清楚地意識到核能可能造成的破壞，並了解替代能源的重要 性。(5%)

(Translation) 2. Translate the following passage into Chinese. (5%) The origin of decoupage is thought to be East Siberian tomb art. Nomadic tribes used cut out felts to decorate the tombs of their deceased. From Siberia, the practice came to China, and by the 12th century, cut out paper was being used to decorate lanterns, windows, boxes and other objects. In the 17th century, Italy, especially Venice, was at the forefront of trade with the Far East and it is generally thought that it is through these trade links that the cut out paper decorations made their way into Europe.

【已刪除】VII. Quiz Making: 20% Please make a quiz based on the following paragraph. The quiz should include 6 cloze questions and 4 reading comprehension questions with four items for each question to choose the correct answer from.

VIII. Essay Writing: 20% Please design a creative selective English course. Your essay should include the title, the purpose of the course, and the activities covered.