题目解析---Here is the extracted content from the image: **Question 2** [新情境·五育文化] 我是家务小能手! 家政体验课上, 同学们被分成了若干个小组, 每个小组要完成叠衣服和包书皮这两个任务。每个小组分到相同数量的衣服和相同本书的书, 要在规定时间内整理完成。一共有 48 件衣服和 72 本书, 都刚好分完。最多分成几个小组? 此时每个小组各分得几件衣服和几本书? (4分) *Handwritten Notes:* 48: 2 | 48 -> 2 | 24 -> 2 | 12 -> 2 | 6 -> 3 | 3 -> 1 (48 = 2^4 * 3) 72: 2 | 72 -> 2 | 36 -> 2 | 18 -> 3 | 9 -> 3 | 3 -> 1 (72 = 2^3 * 3^2) GCD(48, 72) = 2^3 * 3 = 8 * 3 = 24 48/24 = 2 (件) 72/24 = 3 (本) Answer: 24组, 2件, 3本. **Question 3** [新趋势·社会实践] 小立想用下面的五块玻璃做一个无盖的长方体鱼缸。(7分) *Diagram Description:* Five rectangles labeled ① to ⑤ with dimensions. - ①: 60cm (length), 30cm (width) - ②: 60cm (length), 40cm (width) - ③: 40cm (length), 30cm (width) - ④: 60cm (length), 40cm (width) - ⑤: 40cm (length), 30cm (width) *Sub-questions:* (1) 应选用( )号玻璃做鱼缸的底, 鱼缸的高是( )cm。这个长方体鱼缸的表面积是多少平方厘米? (4分) *Options (for the blank):* ① ② ③ ④ ⑤ (Handwritten selection: ①) (2) 这个鱼缸最多可盛多少升水? (3分) *Handwritten Notes:* For (1): 40x60=2400 (40x60+30x40)x2 = (2400+1200)x2 = 3600x2 = 7200 7200+... (illegible addition) For (2): 60x30x... = 54000mL = 54.000mL = 54.000mL Answer: 54升 **Question 4** 三个同学暑期去图书馆借书。橙橙说:“我每 4 天就去一次”, 果果说:“我每 6 天去一次”, 笑笑说:“我每 8 天才能去一次。” 如果三人 7 月 5 日上午 9 点同时去图书馆借书, 那么下一次他们三人会在几月几日上午都到图书馆借书? (5分) *Handwritten Notes:* LCM(4, 6, 8): 2 | 4 6 8 | 2 3 4 2 | 2 3 4 | 1 3 2 3 | 1 3 2 | 1 1 2 2 | 1 1 2 | 1 1 1 LCM = 2*2*3*2 = 24 7月5日+24日 = 7月29日 Answer: 7月29日 9点 **Question 5** [新趋势·学科融合] 一个无盖的长方体玻璃瓶 (如图①), 现在在空瓶子里加入 1.2L 水, 此时水面距离瓶底的高度是 12cm (如图②), 再把一块重 1080g、疑似银的不规则金属块放入加水后的瓶中, 结果水面又上升 1.2cm (如图③)。请推断这块金属是不是纯银的。(1cm³的纯银重 10.5g。) (5分) *Diagram Description:* Series of three diagrams illustrating a rectangular glass bottle and water level. - Figure ①: Shows an empty, open-top rectangular bottle. - Figure ②: Shows the bottle with water. The water level is marked with a double-headed arrow indicating a height of 12cm from the bottom. - Figure ③: Shows the bottle with the metal block submerged in the water. The water level is higher than in Figure ②, and the increase in height is marked with a double-headed arrow indicating 1.2cm. *Handwritten Notes:* 1.2L = 1200cm³ 1200 / 12 = 100 (cm²) 100 x 1.2 = 120 (cm³) = 120cm³ 1080 / 120 = 9 (g/cm³) Answer: 答: 不是。