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50. An electric diple consists of point charges ±? a distance 2a apart. The potential at an arbitrary point P can be expressed as V(P) = k? r+ + k(−?) r− = k?(r−−r+) r+r− , where k is the Coulomb constant, r+ is the distance to the point charge +?, r− is the distance to the point charge −?. If r is the distance to the dipole center, for r ≫ a, the quantities r+, r−, and r are nearly the same as r2 ≈ r+r−. The difference between the distances from the two charges to P, that is, r− − r+, is approximately equal to 2a cos ?, where ? is the angle as shown in the figure. Eventually, the dipole potential for r ≫ a becomes V(r, ?) = k(2a?) cos ? r2 . What is the electric field ?⃗⃗ at an arbitrary position P for r ≫ a? Note that îand ?̂are unit vectors. (A) ?⃗⃗ = k(2a?) r3 [(3 cos2 ? − 1)î+ sin ? cos ? ?̂] (B) ?⃗⃗ = k(2a?) r3 [(3 sin2 ? − 1)î+ 3 sin ? cos ? ?̂] (C) ?⃗⃗ = k(2a?) r [(3 cos2 ? − 1)î+ 3 sin ? cos ? ?̂] (D) ?⃗⃗ = k(2a?) r2 [(3 cos2 ? − 1)î+ 3 sin ? cos ? ?̂] (E) ?⃗⃗ = k(2a?) r3 [(3 cos2 ? − 1)î+ 3 sin ? cos ? ?̂]

49. Consider a soap bubble and a liquid drop of the same radius. If both have the same surface tension γ, radius R, and external pressure P0, what is the relationship between the internal pressure of the soap bubble (Pbubble) and the internal pressure of the liquid drop (Pdrop)? (A) Pbubble > Pdrop (B) Pbubble < Pdrop (C) Pbubble = Pdrop (D) Cannot be compared

48. A bullet of mass m is fired horizontally with a speed v into a stationary wooden block of mass M and becomes embedded in it. If the block is suspended by a string of length L (forming a simple pendulum system), what fraction of the initial kinetic energy is lost as mechanical energy during the moment of impact? (A) m / (m + M) (B) M / (m + M) (C) m / M (D) (M - m) / (M + m)

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四、問答(20 分) 1.請你以本土語言教師的專業,寫出一份訓練高中生參加臺中市賽複賽當中的「臺灣台語情境式演說」的培訓計畫,訓練期間是以三個月為準,比賽規則是按照 115 年全國語文競賽的臺灣台語情境式演說實施要點 為準。

(二)請你共以下的臺羅翻譯做漢字。 Tsit ê sî-tsūn, bô-tiunn-tî, tshiū-thâu-tíng tshenn-tî-á ê kiò-siann kā khùn--khì ê sè-kài kiò tsing-sîn, suà--lâi, tang-sì thiah-ha̍h, ji̍t-thâu mā ta̍uh-ta̍uh-á thàu tshut kng, tsiò tī muá-suann-phiânn ê tsháu-á kah hue-luí. Tang-pîng ê suann-thâu ná lâi ná kng, kā tshīng kui ê kuânn-thinn ê kāu-sann thǹg-tiāu, àm-tām ê sim-tsîng mā-sī. 「Tsiânn hó, guá tsáu tsit tsuā tsin-tsiànn ū kè-ta̍t, suann-tíng tō-sī siōng kín pha̍ktio̍h ji̍t-thâu ê sóo-tsāi, koh ū iām-lē ê kíng-sik sio-puê-tuè.Kā ba̍k-tsiu hiòng hn̄g ê sóo-tsāi khuànn, suann-kha ê tuā-káng, ji̍t-tshiu tshiō tī tsi̍t lîng iū tsi̍t lîng ê tsuí-iann, tán-bē-hù ê tsûn-tsiah, tō beh lâi khí-phâng.

三、短文對譯:以下是對凃至彧〈一月——寫予佇台語路懸頂的家己〉這篇文章改寫的。請你翻譯下面這篇文章。(20 分)(一)請你共以下的漢字翻譯做臺羅。寒凊的天氣籠罩土地,四界的動物猶原咧睏,塗裡的種子嘛猶未暴穎。逐工覕佇厝內,想欲欣賞無仝景緻的我,疊像棉襀被彼款的衫出門。「四序溫暖的天氣欲去佗位揣?應該是去上倚日頭的山頂。」予天氣冷甲槌槌----我是按呢想。著急欲曝著日頭,一點仔攏無躊躇就上山矣。寒冷的東北風拍蹛我的身軀,山煞愈懸愈冷,風是愈懸愈透。遐爾仔拚勢,四界走揣的我忝矣,倒佇咧倒去的樹身頂。寒凍的冷風貫入我的衫,揻入我的骨。我較睏嘛睏袂去,所致就坐佇石頭頂懸,看四箍圍仔的烏,看甲出神。

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2. 下列何者不是《幼兒園教保活動課程大綱》中「語文領域」的領域目標? (A)體驗與覺知語文的趣味與功能 (B)慣於敘說經驗與編織故事 (C)喜歡閱讀並展現社會觀點 (D)認識並欣賞社會中使用多種語文的情形

30. 學校運動會將至,趙老師每天都和班上同學一起花時間練習大隊接力,甚至假日也和同學約在學校練習,經此一事讓趙老師和班級產生了濃厚的革命情感,這亦是社會學家涂爾幹(Émile Durkheim)所提出的哪一項概念? (A)社會化 (B)儀式/圖騰崇拜 (C)社會分工 (D)集體意識

31. 在教育領域中,「潛在課程」(Hidden Curriculum)最主要是指下列哪一種課程概念?(A)教師依據課程綱要所規劃、明確教授的知識與技能(B)因課程時間不足或教師專業限制而未納入教學的內容(C)學生在課外自學並未被學校課程設計納入的知識與技能(D)學校運作與日常互動中,學生在非正式情境下習得的價值觀、行為規範與社會信念

32. 小林老師在教學開始前設計了一份前測小測驗,以了解學生對教學內容的認識程度,並依此調整教學進度與內容。請問小林老師進行的這項評量,主要屬於下列哪一類型? (A)總結性評量 (B)安置性評量 (C)形成性評量 (D)診斷性評量

61. 依據衛福部之《目睹家庭暴力兒童及少年輔導處遇原 則》,學校受理案件後應於幾日內回覆教育主管機關? (A)24 小時 (B)3 日 (C)7 日 (D)30 日

2. 企業持有以下何種證券並無一定的償還期限?(A)股票(B)公債(C)國庫券(D)公司債