998. 使用經緯儀測量一座水塔高度，觀測方式如下圖，先在此水塔前方 A 點架設經緯儀，測出水塔頂端的垂直角為 25°，並且水平 觀測 B 點上水準尺，獲得上、中、下絲讀數分別為 1.575m、1.500m、1.425m。接著將儀器架設於 B 點上，測出水塔頂端的垂 直角為 36°，若二次架設儀器高均為 1.50m，且測設區域為一平坦地，則水塔高度為何？(註：tan25°＝0.47；tan36°＝ 0.73；視距常數 K＝100；C＝0)

(A)27.115m
(B)28.615m
(C)19.794m
(D)21.294m。

999. 使用鋼捲尺(不考慮尺長改正)在平坦地上二點 A、B 往返測量距離之紀錄為：往測39.255m、返測 39.245m。若張三於 A、B 二點間往返步行，步數分別為 51 步、49 步；張三另於一未知距離之平坦地直線上步行測得平均步數為 110 步，則此次應用 步幅量距計算所得之距離為何？ (A)84.350m (B)85.350m (C)86.350m (D)87.350m。

1000.在一比例尺1/1000的地圖上，一個正三角形邊長和為12cm，則此三角形實際面積為多少m2？(A)480.52m ²(B)692.82m² (C)721.24m²(D)554.32m²。

I. Language Teaching Pedagogy: Choose the best answer to each question. 1. A Grade 8 science teacher in an EMI (English as a Medium of Instruction) program in Taiwan is teaching a unit on renewable energy. Students are asked to work in groups to explain the advantages and disadvantages of solar power in English. One student, Kevin, understands the scientific concepts but struggles to express his ideas in English independently. During the activity, the teacher provides guiding questions, sentence starters (e.g., "One advantage of solar power is..."), and strategic peer support from a more proficient classmate. By the end of the lesson, Kevin is able to participate successfully in the group discussion and explain his ideas with minimal assistance.  Which of the following BEST illustrates Vygotsky's concept of the Zone of Proximal Development (ZPD)? (A) The teacher requires students to memorize a model paragraph about renewable energy and reproduce it verbatim during the discussion activity. (B) The teacher repeatedly drills key vocabulary and sentence patterns until students can produce them automatically without conceptual understanding. (C) The teacher provides temporary instructional support and collaborative assistance that enables the student to perform a task that would have been too difficult to accomplish independently. (D) The teacher simplifies the lesson by assigning students only tasks they can already complete independently without assistance or interaction.

2. A sixth-grade English teacher in a private bilingual school notices that many students become anxious when asked to speak English in front of their classmates. To create a more positive learning environment, the teacher transforms the classroom into a comfortable and aesthetically appealing space with soft lighting, colorful posters, and relaxing classical music playing in the  background. Before beginning a lesson on travel English, students are invited to sit comfortably, listen to a narrated dialogue accompanied by music, and imagine themselves successfully communicating in an English-speaking country. The teacher believes that reducing psychological barriers and fostering positive emotions can enhance language acquisition.Which language teaching method is MOST clearly reflected in this instructional approach? (A) Suggestopedia, which seeks to lower learners' affective barriers and increase receptivity to language learning through relaxation, positive suggestion, and a supportive learning environment (B) The Audiolingual Method, which emphasizes the formation of correct linguistic habits through repetitive drills and immediate correction of errors (C) The Silent Way, which encourages learners to discover language patterns independently while minimizing teacher talk (D) The Grammar-Translation Method, which promotes mastery of grammatical structures through translation and explicit rule explanation

3. A Grade 8 EMI mathematics teacher introduces new academic vocabulary related to geometry. Rather than directly explaining the meaning of terms or correcting student errors, the teacher presents visual materials and colored rods and encourages students to work collaboratively to identify patterns and formulate explanations. When students make mistakes, the teacher remains largely silent and uses gestures or visual cues to prompt self-correction. The teacher believes that learners develop deeper understanding when they actively construct knowledge rather than receive it directly.  Which teaching method is MOST clearly illustrated in this scenario? (A) Audiolingualism, which promotes automatic language production through repetition and reinforcement (B) The Silent Way, which encourages learner autonomy, problem-solving, and self-discovery while minimizing teacher talk (C) Suggestopedia, which emphasizes relaxation and positive emotional experiences (D) Grammar-Translation, which emphasizes explicit explanation and translation exercises

4. A Taiwanese junior high school teacher preparing students for an English speech contest requires learners to repeat sentence patterns multiple times until pronunciation, grammar, and intonation are produced accurately. The teacher believes that language proficiency develops when correct responses are reinforced and errors are corrected immediately before they become habitual. Which underlying theoretical assumption BEST explains this instructional approach? (A) Language is acquired primarily through social interaction and collaborative meaning- making (B) Language acquisition is facilitated when learners experience low levels of anxiety and heightened suggestibility (C) Language develops naturally when learners construct knowledge independently (D) Language learning involves the formation of automatic habits through stimulus-response practice and reinforcement

5. The retiring executive agreed to ______ control of the board, yet she insisted on remaining an advisory consultant until a permanent replacement was found. (A) surrender (B) relinquish (C) delegate (D) forfeit

6. Netflix's new K-drama "Teach You A Lesson" is garnering ______ as a compelling, feel-good series despite its initial controversy. (A) acclaim (B) influence (C) privilege (D) criticism

7. On its first day of trading, SpaceX options generated 1.8 million contracts, ______ surpassing the previous record of about 365,000 contracts set by Meta Platforms in 2012. (A) marginally (B) handily (C) inherently (D) frantically

8. The executive was surrounded by a group of obsequious advisers who rarely challenged his opinions and instead praised nearly every decision he made. (A) deferential (B) belligerent (C) resolute (D) impartial

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