1. Please explain how you apply TETE (Teach English Through English) in your English classroom to enhance students’ English learning. Please provide concrete examples demonstrating how the textbook is applied in actual classroom teaching and the outcomes achieved. 

2. Please design an English-language learning activity for the final semester of Grade 12 that focuses on Social Emotional Learning (SEL). The activity should be structured in clear, interconnected stages, aiming not only to enhance students' cognitive abilities but also to foster the development of their social and emotional competencies. The goal is to cultivate a positive and supportive school climate while ultimately contributing to broader social well-b

3. Please discuss the use of AI tools and digital technologies with AI capabilities in English language teaching. Name two examples of such tools commonly used or relevant in education (you may refer to examples like ChatGPT, Quillbot, Canva, Text-to-Speech, etc.). For each tool, explain practical ways they can be applied specifically in English language teaching contexts. Finally, briefly describe effective strategies educators can use to guide students in utilizing these tools effectively and ethically for language learning.

 1. What is your view on the Ministry of Education’s policy requiring centralized mobile phone management in schools? In your opinion, what aspects of student life might be affected by this policy, and how? 

2. As a homeroom teacher in a school about to enforce this policy, how would you support its implementation while addressing potential student resistance? Propose specific strategies to communicate with students and involve them in the process.

一、計算證明題 請寫下完整計算過程，否則不予計分 1、設 m 與 n 均為正實數，且滿足 log9 m=，試問之值為 ________

2、有 5 筆二維數據 ( x1, y1 ) 、( x2, y2 ) 、…、( x5, y5 ) 。已知的統計資料如下： x1+x2+...+x5=15 ，y1+y2+...+y5=10 x12+x22+...+x52=102，y12+y22+...+y52=40 若小高在求 y 對 x 的迴歸直線方程式 y mx b = + 時，誤將迴歸直線的斜率公式記為 ，其中為數據 X、Y 的算術平 均數。在其他的計算均無錯誤下，小高計算出的迴歸直線方程式為。試問針對這 5 筆數據求 y 對 x 的迴歸直線方程式，正確的斜率 m 應該為________

3、△ABC 中，若 = 9， =15 ，∠ABC = 3∠ACB，則邊的長為多少?

4、設集合 I = {1,2,3,4,5}，選擇 I 的兩個非空子集合 A、B，使得 B 集合中的最 小的數字大於A集合中最大的數字，則集合A、B有幾種不同的取法？________

5、3 顆蘋果，4 顆梨子，5 顆李子分給 3 個兒子，每人至少得一個， 有 種分法

6、已知兩互相垂直的平面向量，，當0 ≤ t ≤ 1時，向量與向量的最大夾角為θ，則cosθ的值為何? ________

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