II. Handout Design 

     Please design a handout for 10th graders who are now learning the concept of participle construction (分詞構句) from scratch. Your handout should contain no more than 250 English words and 30 Chinese words.

III. Lesson Design       Please design a 50-minute English lesson based on the material provided. The lesson will be delivered entirely in English to a class of 36 senior high school students with mixed proficiency levels (A2–B2 on the CEFR scale). In your lesson plan, be sure to include teaching objectives, lesson procedures, and assessment methods. After the lesson plan, please briefly explain how this lesson reflects your teaching beliefs and why you think it would be meaningful for your students. Every Taiwanese food lover knows about coffin bread and cow’s tongue cookies. But have you heard of these other unusually named foods from around the world?                                                           Welsh Rabbit No rabbits are harmed in the making of Welsh rabbit. Rather, it’s a simple dish of toast topped with melted cheese and sometimes sauces, spices, or even beer. It is eaten across the UK and likely doesn’t come from Wales. Why, then, is it called Welsh rabbit? Historians think it probably started as a joke—one meant to make fun of the Welsh by suggesting they were too poor to eat real rabbit meat.                                                            Dutch Babies Dutch babies are giant pancakes served with sweet treats like honey and fruit or savory foods like bacon and eggs. Unlike regular pancakes, they’re cooked in the oven, which makes them light and fluffy. They got their name when an American restaurateur started making German pancakes and mistakenly confused the German word for German, Deutsch, with Dutch. The name has stuck with the dish ever since.                                                             Head Cheese Despite its name, there is no cheese in head cheese. It’s actually a cold, savory jelly usually made with meat from a pig’s or calf’s head. It was first created in Europe hundreds of years ago. Back then, wealthy people got all the best meat, so poorer people had to be creative with what was left. These days, head cheese is less common, but it can still be found in countries from Scotland to Spain.                                                              Ants on a Log Ants on a log isn’t as scary as it sounds. It’s simply a celery stick (the “log”) cut in half, filled with peanut butter, and dotted with raisins (the “ants”). It’s an easy snack for kids to make and enjoy. Plus, there are lots of ways to change it up, like switching the raisins for other dried fruits, nuts, or chocolate chips! So, when you’re feeling hungry, why not fill up on some “ants” or “babies”? Don’t tell anybody, though—they might think you’ve gone crazy! Source: LiveABC. (2024, September). LiveABC English Digest

IV. Essay Question     As an English teacher, you are invited to take part in organizing an upcoming international exchange program. Please write an essay responding to the following prompts, as if you were to take on this role: ■ What is the significance of international exchange programs for both students and the school as a whole?  ■ Given limited time, how would you help students balance their academic responsibilities while preparing for exchange activities?  ■ If your class included students with varying levels of English proficiency, how would you ensure that all students were able to participate actively and communicate effectively in English during the exchange?

(1)物體B剛要接觸地面時的速度大小為何?

(2)物體A向上滑動的整個過程中與斜面間因摩擦產生的熱量大小為何

2.如圖所示，某超市中兩輛相同質量均為m的手推購物車、相距2L沿直線排列，靜置於水平地面上。為節省收納空間，工讀生給購物車①一個瞬間的水平推力F使車自行運動，並與購物車②相碰，且在極短時間內相互嵌合結為一體，以共同的速度運動了距離，恰好停靠在牆邊。若車運動時受到的摩擦力恆為車重的k倍，忽略空氣阻力。重力加速度為g。則工讀生給購物車①水平推力F的衝量大小為何?

3.在一水深為1.0m的水池底部水平放置一條長為1.0m能發出紅光的細LED燈帶，不考慮水面對光線的反射，計算水面上產生光斑的面積為多少平方公尺?(設水對紅光的折射率為4/3)

4.質量2kg之臺車A置於水平桌面，車上物體B的質量為1kg，B以細線連接通過摩擦及質量可忽略之定滑輪，在另端繩上掛質量未知之C球如圖所示，若臺車A與桌面之摩擦不計，B、A間之靜摩擦係數為0.4，取g＝10m/s2，若要B在A上不至於產生相對滑動，則C球之質量最多不可超過_____公斤。(臺車之輪子質量可忽略)

5.有一質量m、半徑R、長度ℓ的圓柱木頭，其上繞有N匝之線圈(繞的方式參看下圖)，將圓柱放在仰角θ的斜面上，並置於一方向鉛直向上的均勻磁場B中，如右圖所示。若要使圓柱不轉動則需加一電流i，求此電流的大小i＝__________。(以m、g、N、ℓ、B表示)

6.將一透鏡從中間分割成兩半，用此透鏡所成的兩點光源實像，可作為干涉實驗產生兩同相光源的一種方法，該透鏡稱比勒特分開透鏡(Billetssplitlens)。若透鏡焦距4公分，一點光源距透鏡5公分，光的波長為500nm，兩半透鏡相距0.01(cm)，若屏距像光源100公分，則干涉條紋間距為_____cm。

7.觀察者、聲源和反射板依照圖所示的順序排列在一條直線上。假設聲源和反射板能夠沿著這條直線獨立移動。當觀察者保持靜止時，聲源以恆定的速度v向觀察者移動，同時發射恆定頻率f的聲波，反射板則以相同的速率向聲源的相反方向移動，此時有速率為w的均勻風從反射器向觀察者方向吹去。設無風時的聲速為V0、0w＜V0。求聲波經反射板反射後到達觀察者的頻率為何?

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