02 数字与计算:时间、价格、编号的混合速记技巧(全国通用)2027年高考英语听力高分突破

2026-07-13
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| 19页
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资源信息

学段 高中
学科 英语
教材版本 -
年级 高三
章节 -
类型 题集-专项训练
知识点 -
使用场景 高考复习-一轮复习
学年 2027-2028
地区(省份) 全国
地区(市) -
地区(区县) -
文件格式 ZIP
文件大小 25.13 MB
发布时间 2026-07-13
更新时间 2026-07-13
作者 春天的泥泞
品牌系列 学科专项·听力
审核时间 2026-07-13
下载链接 https://m.zxxk.com/soft/58785420.html
价格 3.00储值(1储值=1元)
来源 学科网

摘要:

**基本信息** 聚焦高考英语数字与计算高频考点,构建“基础读法-信号词识别-速记运算-避坑策略”四维方法体系,逻辑递进培养语言能力与思维品质。 **专项设计** |模块|题量/典例|方法提炼|知识逻辑| |----|-----------|----------|----------| |基础积累|核心数字读法(时间/年份/-teen vs -ty/单位)4类|三步解题法(听前预判-听中速记-听后计算)|从语言知识(发音/表达)到运算逻辑(加减乘除)层层递进| |考点分析|4大考点(含5道真题示例)|信号词标注法(+/-/×/÷符号对应)|针对时间/价格/编号/复合计算,建立题型与解法的精准对应| |解题技巧|5大技巧(含符号速记系统)|符号速记+三步判断法|通过速记符号与逻辑标注提升信息捕捉与思维效率| |强化训练|3级训练(10+4+10题)|避坑指南(-teen/-ty辨音等5类陷阱)|从基础辨音到综合运算,实现知识应用与学习能力提升|

内容正文:

02 数字与计算:时间、价格、编号的混合速记技巧 学习目标 学完本讲,你将能够: 序号 目标 对应能力 1 快速区分 -teen 与 -ty 的发音差异,避免数字听混 解决“15和50分不清” 2 掌握时间推算的加减逻辑(before/after/early/late/delay) 解决“时间题算不过来” 3 掌握价格计算的信号词(discount/off/tax/coupon) 解决“折扣题总选错” 4 建立数字速记符号系统,边听边记不遗漏 解决“听到后面忘了前面” 本讲高考考频统计(2023-2026年) : 数字与计算题:每年必考,平均每套试卷出现 2-3 题 时间推算类:占比最高 价格计算类和编号/数量辨别类分别别都有考察。 基础积累 概况 数字与计算题是高考听力中唯一需要动笔算的题型,也是区分度最高的题型之一。解题三步走: 听前:预览选项,预判数字类型(时间?价格?编号?) 听中:速记数字 + 标注逻辑关系(+ / - / × / ÷) 听后:根据问题快速计算,排除“听到什么选什么” 📌 一、核心数字读法(高考必背) 1. 时间表达法 读法 规则 示例 读法逻辑 直读法 按数字顺序读 8:10 → eight ten 9:45 → nine forty-five 最常见,最直接 past法 分钟≤30,用 past 8:15 → fifteen past eight / a quarter past eight “加”的逻辑 to 法 分钟>30,用 to(差几分到几点) 9:45 → fifteen to ten/a quarter to ten “差”的逻辑(60-45=15) ⚠️ 考场提示:a quarter = 15分钟,half = 30分钟。a quarter to ten = 9:45,half past eight = 8:30。 2. 年份读法 年份 正确读法 错误读法 1920 nineteen twenty one thousand nine hundred twenty ❌ 1902 nineteen oh two one thousand nine hundred two ❌ 2008 two thousand and eight — 2010 twenty ten(英式)/two thousand ten(美式) — 规律:年份两位一组读,1902中的“0”读作 oh(/əʊ/)。 3. 易混音:-teen vs -ty(高考最高频陷阱!) 数字 发音 特点 记忆口诀 13 thirteen /ˌθɜːrˈtiːn/ 重音在后,尾音 /n/ 清晰,声调上扬 长音有鼻音,是十几 30 thirty /ˈθɜːrti/ 重音在前,尾音 /t/ 短促,声调平稳 短音无鼻音,是几十 14 fourteen /ˌfɔːrˈtiːn/ 同上(重音在后,长音+鼻音) — 40 forty /ˈfɔːrti/ 同上(重音在前,短音) — 15 fifteen /ˌfɪfˈtiːn/ 同上 — 50 fifty /ˈfɪfti/ 同上 — 训练方法:每天跟读数字,刻意区分 fifteen 和 fifty。听到重音在后且拉长音 → 十几;重音在前且短促 → 几十。 4. 高频数量单位 词汇 含义 备注 dozen 一打(12个) 高考高频,必须反应出×12 score 二十(20个) 偶有出现 couple 一对 / 两个 不是“几个”,是精确的“2” half 一半 ×0.5 double / twice 两倍 ×2 quarter 四分之一 / 15分钟 两种含义都要熟 📌 二、数字计算信号词(解题“题眼”) 听到这些词,立刻在数字旁边标注运算符号! 运算 信号词 示例 计算方式 加法 (+) more, another, extra, later, after, delay, postpone, slow The flight is delayed for 2 hours. 原时间 + 2 减法 (-) less, early, ago, before, discount, off, save, reduce, decrease The meeting is 10 minutes early. 原时间 - 10 乘法 (×) twice, double, times, each, per The bag is double the price. 原价 × 2 除法 (÷) half, a quarter, divide, split, share Share it between the two of us. 总数 ÷ 2 折扣 20% off / 20% discount 打八折(不是打两折!) 原价 × 0.8 ⚠️ 关键提示: 20% off = 减掉20% = 付80% = 八折 buy one get one free = 买一送一 = 半价(买两个付一个的钱) 考点分析 考点1:时间推算(“早/晚/提前/推迟”) 考点本质:考查学生是否能根据 earlier / later / before / after / delay 等词对时间做加减。 🎯 真题示例1(2024年新课标I卷 Text 5) 考题:When will the next train to Bedford leave? A. 9:45 B. 10:15 C. 11:00 【原文】M: Oh, hi, I missed my 9 o’clock train to Bedford. Do I have to buy another ticket? W: No. The next train leaves at a quarter to ten at Platform 11. 【答案】A 【解析】 a quarter to ten = 9:45。注意原文出现了三个数字(9 o'clock、a quarter to ten、Platform 11),需要分辨“哪个时间对应哪件事”。 【陷阱指数】 ⭐⭐⭐⭐ 🎯 真题示例2(改编自2025新高考真题) 考题:What time does the concert start? A. 6:30 B. 7:00 C. 7:20 【原文】M: The concert starts at 7:00 PM, but we need to leave 20 minutes earlier to catch the subway. W: OK, I'll meet you at the station at 6:30 then. 【答案】B 【解析】 20 minutes earlier 是干扰信息,题目问的是starts的时间。原文直接说了starts at 7:00,6:30是“见面时间”。直接读出的数字不一定是答案,要看清题目问的是什么。 【陷阱指数】 ⭐⭐⭐⭐⭐ 考点2:价格与折扣计算 考点本质:考查学生是否能处理“原价 + 折扣 + 税费 + 数量”的综合计算。 🎯 真题示例3(改编自高考真题) 考题:How much should a student pay for the ticket? A. $5 B. $7.5 C. $15 【原文】M: How much is the ticket? W: Normally $15 per adult, but students get a 50% discount. However, if you come in a group of 10 or more, it’s only $5 per person. 【答案】B 【解析】 原价$15 → 学生50% off → $15 × 0.5 = $7.5。干扰项$5是“团体价”,题目问的是“一个学生”。 【陷阱指数】 ⭐⭐⭐⭐⭐ 考点3:编号与数量辨别 考点本质:考查学生能否在快速语流中准确捕捉电话号码、门牌号、航班号、数量等。 🎯 真题示例4(改编自高考真题) 考题:What’s the price of the skirt? A. 8 dollars B. 18 dollars C. 80 dollars 【原文】M: How much did you pay for it? W: I only paid 80 dollars for it on the 18th at Number 8 Street. 【答案】C 【解析】 三个数字同时出现(80、18、8),需要在速记时标注对应关系:80(paid)、18(日期)、8(街号)。 【陷阱指数】 ⭐⭐⭐⭐ 考点4:复合计算(多重运算叠加) 🎯 真题示例5(综合改编) 考题:How much does the woman need to pay for two shirts? A. $50 B. $80 C. $100 【原文】M: The shirt costs $50, but there is a 20% discount if you buy two. 【答案】B 【解析】 $50 × 2 = $100 → 20% off → $100 × 0.8 = $80。需要先算总价,再算折扣。 【陷阱指数】 ⭐⭐⭐⭐⭐ 解题技巧 技巧1:速记原则 —— “写数字,不写单词” 听到任何数字,立刻用阿拉伯数字写下来,不要写英文单词! 听到 ❌ 错误写法 ✅ 正确写法 fifteen past eight fifteen past eight 8:15 two hundred and ten thousand two hundred and ten thousand 210,000 twenty percent off twenty percent off 20% off 男士35岁,女士28岁 man thirty-five, woman twenty-eight M 35, W 28 技巧2:边听边标 —— “标注数字对应关系” 多个数字出现时,在数字旁边标注指代对象,避免混淆。 示例1:The skirt was 80 dollars on the 18th at Number 8 Street. 笔记:80$(paid)、18(date)、8(street) 示例2:The concert starts at 7:00, but we need to leave 20 minutes earlier. 笔记:7:00(start)、-20(leave) 技巧3:符号速记系统 —— “一秒一个符号” 建立自己的速记符号系统,考试时直接条件反射。 含义 符号 示例 价格 / 钱 $ $50 增加 / 推迟 + 或 ↑ delay +2h 减少 / 提前 - 或 ↓ early -10min 约等于 ≈ ≈ 20 男士 / 女士 M / W M 35, W 28 技巧4:考场“三步判断法” 听到数字后,快速三步定位: 第一步:这是“已知数”还是“要算的数”? 第二步:有没有信号词(delay/early/discount/off)? 第三步:题目问的到底是哪个数字?加还是减? 技巧5:避坑指南(必背!) 陷阱 应对策略 -teen 和 -ty 听混 凭重音和尾音区分,不凭单个音选答案 直接读出的数字是答案 ❌ 高考数字题大多需计算,听到的往往是干扰项 多个数字对应多个事件 速记时标注谁对应谁,看清题干问的是什么 折扣方向搞反 20% off = 八折(付80%),不是打两折! 忘算数量 题目问“两件”就要 ×2,问“每个人”就要 ÷人数 强化训练 基础篇:辨音选择题 Instructions:听音频,选择你听到的正确选项。 1.(考点:时间推算)现在几点? A. 8:30 B. 9:00 C. 9:30 【答案】A 【解析】9:00开始,只剩30分钟 → 9:00 - 0:30 = 8:30。 【原文】W: Dear, you said you have a meeting to attend at 9:00. Hurry up. Now you only get half an hour before it starts. 2.(考点:时间推算)现在几点? A. 10:50 B. 11:00 C. 11:10 【答案】A 【解析】11:00截止,还剩10分钟 → 11:00 - 0:10 = 10:50。only 10 minutes left 是关键信号词。 【原文】M: I am busy. I must finish my paper first. The deadline is 11 a.m. and there’s only 10 minutes left. 3.(考点:时间推算)现在几点? A. 12:30 B. 12:00 C. 5:30 【答案】A 【解析】原文说“3 and a half hours have passed”是在描述“已经过了多久”,题目问的是“现在几点”,需要把“开始时间+经过时间”算出来。9:00开始,过了3.5小时 → 9:00 + 3:30 = 12:30。 注意 3 and a half hours = 3小时30分钟。 【原文】W: You know, we started doing this at 9 AM I can’t believe 3 and a half hours have past and look, the cupboard still isn’t finished. 4.(考点:时间表达)火车几点发车? A. 9:45 B. 10:15 C. 9:15 【答案】A 【解析】a quarter to ten = 差15分钟到10点 = 9:45。to 表示"差",past 表示"过"。如果不熟悉 to 的读法,容易误选B(10:15)。 【原文】W:The next train leaves at a quarter to ten. 5.(考点:时间表达)他们几点见面? A. 7:30 B. 8:00 C. 8:30 【答案】C 【解析】half past eight = 8点过了30分钟 = 8:30。half = 30分钟,past = "过"。 【原文】W:I'll meet you at half past eight. 6.(考点:-teen vs -ty辨音)说话人穿多大尺码? A. 14 B. 40 C. 4 【答案】B 【解析】forty 重音在前、尾音短促 → 40(不是14)。fourteen 重音在后、尾音有/n/。 【原文】 M: I’m not sure. I was wearing size 40 just a few months ago, but I’ve gained some weight recently. All my trousers are not suitable, and I’d especially like something in blue. 7.(考点:数量运算)每人分几个? A. 3 B. 4 C. 12 【答案】B 【解析】1 dozen = 12个,12 ÷ 3 = 4。dozen 是高频数量单位,必须反应出×12。 【原文】W:We have a dozen eggs and need to split them equally among three people. 8.(考点:数量运算)每个孩子分到几块饼干? A. 6 B. 8 C. 10 【答案】B 【解析】30 - 6 = 24块(留给孩子的),24 ÷ 3 = 8块/人。需要两步运算(先减后除)。选项A(6)是"留给客人的数量";选项C(10)是"如果不用留客人的话每人分到的数"。 【原文】I baked 30 cookies, but I want to keep six for the guests coming tomorrow. I need to divide these cookies equally among our three children. 9.(考点:时间推算)戏剧几点开始? A. 6:00 B. 6:30 C. 7:00 【答案】C 【解析】题目问的是 starts(开始时间),原文直接说了 starts at seven o'clock。选项A(6:00)是"见面时间",是干扰项。看清楚题干问的是什么! 【原文】M: Yes, everyone says so. Shall I meet you at your office at six o’clock? Then we can go and have a quick snack. The play starts at seven o’clock. 10.(考点:多步运算)一共有多少人需要住宿? A. 6 B. 12 C. 24 【答案】B 【解析】six couples = 6对夫妇 = 6 × 2 = 12人。选项A(6)是"房间数"或"夫妇数";选项C(24)是干扰项。需要完成 couples × 2 = people 的运算。 【原文】M: We are thinking of any weekend in November and we’re going to be six couples, so we’d prefer six double rooms if that’s possible. 进阶篇:挖空听写 Instructions:听音频,在横线上填入你听到的内容。 Text 1 W: I just bought this book on sales. I paid only _____①_____ dollars for it, _____②_____ dollars off its original price. M: It's really a bargain, but Tony bought the same book for just _____③_____ the original price at another bookstore. 【答案与解析】 空 答案 考点 解析 ① 18 直接捕捉 女方实付 $18。注意 eighteen 重音在后,不要听成 eighty(80)。 ② 6 直接捕捉 便宜了 $6。six dollars off = 减6美元。 ③ half 直接捕捉 另一个店便宜了一半 ⚠️ 易错提示:原文同时出现eighteen、six、half三个数字,需要在速记时标注对应关系: 实付 = $18 便宜了 = $6 原价 = $18 + $6 = $24 Tony买的价格 = $24 × 0.5 = $12 Text 2 M: Hey, Mrs Carter, some of us want to hike further up the Great Wall, just to that next watchtower. Is that cool? W: Sure, but be careful on those steps. Some spots are steep. What time can you be back? M: No problem. We'll meet you at the bus by _____④_____, promise. W: _____⑤_____, bus leaves at _____⑥_____ sharp. And I'm not explaining to your parents why you got lost in China. M: Deal. Thanks, Mrs Carter. 【答案与解析】 空 答案 考点 解析 ④ 3:25 直接捕捉 男生提议3:25回到巴士。注意 twenty-five past three 的读法。 ⑤ 3:20 时间推算 女生纠正了时间,要求3:20回来(比男生提议的早5分钟)。这里需要听到“纠正”的意图。 ⑥ 3:30 直接捕捉 巴士3:30准时出发。sharp = 准时、整点。 【易错提示】 三个时间点同时出现(3:25、3:20、3:30),需要分辨谁提出的、谁纠正的、谁决定的。 bus leaves at 3:30 sharp——sharp是信号词,表示“整点出发,不等人”。 女生说“3:20”是要求,不是“巴士3:20出发”——这是在纠正男生的提议。 Text 3 Among our group of _____⑦_____ participants, _____⑧_____ have registered to compete. The remaining members will support you and explore the easier hiking paths. Well, there’s so much to discover. Let me show you this incredible place! 【答案与解析】 空 答案 考点 解析 ⑦ 30 直接捕捉 团队共30人。注意 thirty 和 thirteen 的辨音(重音在前/后)。 ⑧ 10 直接捕捉 10人报名参赛。 ⚠️ 易错提示: 30人 - 10人 = 20人走轻松路线,但题目没有问这个。如果题目问“多少人走轻松路线?”,答案是 20,需要自行计算。 注意 ten(10)和 thirty(30)同时出现,不要搞混。 Text 4 W: I'd like to ask _____⑨_____ dollar more per child per hour. It's only _____⑩_____% above market and I'm now a certified babysitter with training in CPR. M: I didn't know babysitting had certifications. W: Times change. I need to think about covering college tuition and saving for my retirement. 【答案与解析】 空 答案 考点 解析 ⑨ 1 直接捕捉 a dollar more = 1美元。注意英语中a在这里表示“一”,不是“某”。 ⑩ 10 直接捕捉 10% above market = 高出市场价10%。 ⚠️ 易错提示: a dollar more per child per hour:这是一个复合单价——每个孩子每小时多1美元。如果看管2个孩子2小时,总涨幅 = 1 × 2 × 2 = 4美元。 综合篇:实战训练 1. When will the speakers leave for the train station? A. At 5:30 p.m. B. At 6:30 p.m. C. At 7:30 p.m. 【答案】A 【原文】M: We’d better hurry, Jasmine. It’s 4:30 p.m now. W: Come on. Our train leaves at 7:30 p.m. It usually takes us an hour to get to the train station. M: What a relief! I thought it would leave at 6:30 p.m. Well, in that case, we can set off in an hour. W: OK. 2. What’s the date today? A. October 15. B. October 16. C. October 17. 【答案】B 【原文】M: Mary, did the final of the College Students’ Innovation Competition conclude on October 15? W: Yes, but I was too busy to attend the closing ceremony yesterday. 3. When is the deadline for the report? A. On Wednesday. B. On Thursday. C. On Friday. 【答案】A 【原文】M: Ms. Lee, when should we hand in the report? W: Read Chapter 6 first — submit it two days before Friday. No group work, please. 4.When did Philo Farnsworth develop his original idea of sending pictures through the air? A.In 1916. B.In 1922. C.In 1926. 【答案】C 【原文】M: Television is really a great invention. I wonder how the invention got the idea of sending pictures through the air. W: The inventor was a guy called Philo Farnsworth. He first showed his teacher the drawings for television in 1922 when he was 16. At that time, even radio was new. He developed the idea when he was 20. 5.When will the man leave for the party? A.At about 4:00 p.m. B.At about 4:30 p.m. C.At about 5:30 p.m. 【答案】C 【原文】W: Are you free on Saturday evening? We are having a party for Jimmy’s graduation. M: Let me check. I’ve got a conference at 4 that should last about an hour and a half. I can come right after that. 6.How much will the man pay? A. $70. B. $ 80. C. $100. 【答案】A 【详解】M:Is this the bookcase you recommend? W:Yes,it’s our regular $50 bookcase on sale today for $40. If you buy a pair,you can save another $5 for each. M:OK,I’Il take a pair. 7.How much will the woman pay for her booking? A. £215 B. £350 C. £430 【答案】C 【原文】W: Hi, I’m calling about booking two rooms for this Saturday evening. M: Sure. It is £215 per room. That’s the weekend price. It’s £175 on weekdays. W: Okay, that works for me. 8. When will the next train to New York leave? A. At 10:12 p.m. B. At 10:20 p.m. C. At 10:32 p.m. 【答案】C 【原文】W: Excuse me, which platform does the next train to New York leave from? M: It leaves from Platform 2 in twelve minutes. And now it is 10:20 p.m. W: Thanks a lot. 9. How long is the woman late? A. One hour. B. Two hours. C. Three hours. 【答案】B 【原文】W: May I have the breakfast menu, please? I’m really hungry! M: Sorry, ma’am. Now it is noon. We stop serving breakfast at 10 a.m. (3) May I bring you our lunch menu? 10. How many days does the woman work in a week? A. About four days. B. Nearly five days. C. Almost six days. 【答案】C 【原文】M: What are the office hours? W: Well, the office hours are from 9 a.m. to 6 p.m. M: Do you work on weekends? W: On Saturday the office is open from 9 a.m to 3 p.m, but on Sunday we are closed. 9 / 12 学科网(北京)股份有限公司 学科网(北京)股份有限公司 学科网(北京)股份有限公司 $We'd Better hurry, Jason. It's four thirty P. M. now. Come on. Our train leaves at seven thirty PM. IT usually takes us an hour to get to the train station. What relief? I thought I would leave at six thirty PM. Well, in that case, we can set off in an hour. Okay. we'd Better hurry. Jason. It's four thirty P. M. now. Come on. Our train leaves at seven thirty PM. IT usually takes us an hour to get to the train station. What a relief. I thought I would leave at six thirty P. M. Well, in that case, we can . set off an hour. okay? Mary, did the final of the college students innovation competition conclude on october . fifteen years? Yes, but I was too busy to attend the closing ceremony yesterday. Mary, did the final of the college students innovation competition conclude on october fifteen. S yes. but I was too busy to attend the closing ceremony yesterday. Melee, when should we hand in the report? Read chapter six first submitted two days before friday. No group work, please. ms. Lee, when should we hand in the report? Read chapter six first submitted two days before friday. No group work. please. Television is really a great invention. I wonder how the invention got the idea of sending pictures through the air. The invention was a guy called fellow fans worth. He first showed his teacher of the drawings for television in nineteen twenty two, when he was sixteen. At that time, even radio was new. He developed the idea when he was twenty. Television is really a great invention. I wonder how the invention got the idea of sending pictures through the air. The inventor was a guy called fellow fans worth. He first showed his teacher of the drawings for television in nineteen twenty two when he was sixteen. At that time, even radio was new. He developed the idea when he was twenty. Are you free on saturday evening? We are having a party for Jimmy's graduation. Lets me check. I've got a conference at for that should last about an hour and a half. I can come right after that. Are you free? On saturday evening? We are having a party for Jimmy's graduation. Lets me check. I've got a conference at for that should last about an hour and half. I can come right after that. Is this the bookcase . you recommend? Yes, it's our regular fifty dollars book case on sale today for forty dollars. If you buy a pair, you can save another five dollars for each. Okay, i'll take a pair. Is this the bookcase . you recommend? Yes, it's our regular dollars bookcase on sale today for forty dollars. If you buy a pair, you can save another five dollars for each. Okay, i'll take a pair. Hi, i'm calling about booking two rooms for this saturday evening. sure. IT is two hundred and fifteen pounds per room. That's the weekend. Price is one hundred and seventy five pounds . on weekdays. Okay, that works for me. Hi, i'm calling about booking two rooms for this saturday evening. sure. IT is two hundred and fifteen pounds per. That's the weekend. Price is one hundred and seventy five pounds . on weekdays. Okay, that works for me. Excuse me, which platform does the next train to new york leave from . IT leaves from platform to in twelve minutes? And now IT is ten. twenty pm. Thanks a lot. Excuse me, which platform does the next train to new york leave from . IT leaves from platform two in twelve minutes. And now IT is ten twenty pm. Thanks a lot. May I have the breakfast menu please? I'm really hungry. Sorry, mam. Now IT is noon. We stop serving breakfast at ten AM. May I bring you our lunch menu? May I have the breakfast menu please? I'm really hungry. Sorry, mam. Now IT is noon. We stop serving breakfast at ten AM. May I bring you our lunch menu? What are the office hours? Well, the office hours are from nine AM to six PM. Do you work on weekends? On saturday, the office is open from nine AM to three PM. But on sunday we are closed. What are the office hours? Well, the office showers are from nine AM to six PM. Do you work on . weekends? On saturday, the office open from nine AM to 3PM。But on sunday we . are closed. 02 数字与计算:时间、价格、编号的混合速记技巧 学习目标 学完本讲,你将能够: 序号 目标 对应能力 1 快速区分 -teen 与 -ty 的发音差异,避免数字听混 解决“15和50分不清” 2 掌握时间推算的加减逻辑(before/after/early/late/delay) 解决“时间题算不过来” 3 掌握价格计算的信号词(discount/off/tax/coupon) 解决“折扣题总选错” 4 建立数字速记符号系统,边听边记不遗漏 解决“听到后面忘了前面” 本讲高考考频统计(2023-2026年) : 数字与计算题:每年必考,平均每套试卷出现 2-3 题 时间推算类:占比最高 价格计算类和编号/数量辨别类分别别都有考察。 基础积累 概况 数字与计算题是高考听力中唯一需要动笔算的题型,也是区分度最高的题型之一。解题三步走: 听前:预览选项,预判数字类型(时间?价格?编号?) 听中:速记数字 + 标注逻辑关系(+ / - / × / ÷) 听后:根据问题快速计算,排除“听到什么选什么” 📌 一、核心数字读法(高考必背) 1. 时间表达法 读法 规则 示例 读法逻辑 直读法 按数字顺序读 8:10 → eight ten 9:45 → nine forty-five 最常见,最直接 past法 分钟≤30,用 past 8:15 → fifteen past eight / a quarter past eight “加”的逻辑 to 法 分钟>30,用 to(差几分到几点) 9:45 → fifteen to ten/a quarter to ten “差”的逻辑(60-45=15) ⚠️ 考场提示:a quarter = 15分钟,half = 30分钟。a quarter to ten = 9:45,half past eight = 8:30。 2. 年份读法 年份 正确读法 错误读法 1920 nineteen twenty one thousand nine hundred twenty ❌ 1902 nineteen oh two one thousand nine hundred two ❌ 2008 two thousand and eight — 2010 twenty ten(英式)/two thousand ten(美式) — 规律:年份两位一组读,1902中的“0”读作 oh(/əʊ/)。 3. 易混音:-teen vs -ty(高考最高频陷阱!) 数字 发音 特点 记忆口诀 13 thirteen /ˌθɜːrˈtiːn/ 重音在后,尾音 /n/ 清晰,声调上扬 长音有鼻音,是十几 30 thirty /ˈθɜːrti/ 重音在前,尾音 /t/ 短促,声调平稳 短音无鼻音,是几十 14 fourteen /ˌfɔːrˈtiːn/ 同上(重音在后,长音+鼻音) — 40 forty /ˈfɔːrti/ 同上(重音在前,短音) — 15 fifteen /ˌfɪfˈtiːn/ 同上 — 50 fifty /ˈfɪfti/ 同上 — 训练方法:每天跟读数字,刻意区分 fifteen 和 fifty。听到重音在后且拉长音 → 十几;重音在前且短促 → 几十。 4. 高频数量单位 词汇 含义 备注 dozen 一打(12个) 高考高频,必须反应出×12 score 二十(20个) 偶有出现 couple 一对 / 两个 不是“几个”,是精确的“2” half 一半 ×0.5 double / twice 两倍 ×2 quarter 四分之一 / 15分钟 两种含义都要熟 📌 二、数字计算信号词(解题“题眼”) 听到这些词,立刻在数字旁边标注运算符号! 运算 信号词 示例 计算方式 加法 (+) more, another, extra, later, after, delay, postpone, slow The flight is delayed for 2 hours. 原时间 + 2 减法 (-) less, early, ago, before, discount, off, save, reduce, decrease The meeting is 10 minutes early. 原时间 - 10 乘法 (×) twice, double, times, each, per The bag is double the price. 原价 × 2 除法 (÷) half, a quarter, divide, split, share Share it between the two of us. 总数 ÷ 2 折扣 20% off / 20% discount 打八折(不是打两折!) 原价 × 0.8 ⚠️ 关键提示: 20% off = 减掉20% = 付80% = 八折 buy one get one free = 买一送一 = 半价(买两个付一个的钱) 考点分析 考点1:时间推算(“早/晚/提前/推迟”) 考点本质:考查学生是否能根据 earlier / later / before / after / delay 等词对时间做加减。 🎯 真题示例1(2024年新课标I卷 Text 5) 考题:When will the next train to Bedford leave? A. 9:45 B. 10:15 C. 11:00 🎯 真题示例2(改编自2025新高考真题) 考题:What time does the concert start? A. 6:30 B. 7:00 C. 7:20 考点2:价格与折扣计算 考点本质:考查学生是否能处理“原价 + 折扣 + 税费 + 数量”的综合计算。 🎯 真题示例3(改编自高考真题) 考题:How much should a student pay for the ticket? A. $5 B. $7.5 C. $15 考点3:编号与数量辨别 考点本质:考查学生能否在快速语流中准确捕捉电话号码、门牌号、航班号、数量等。 🎯 真题示例4(改编自高考真题) 考题:What’s the price of the skirt? A. 8 dollars B. 18 dollars C. 80 dollars 考点4:复合计算(多重运算叠加) 🎯 真题示例5(综合改编) 考题:How much does the woman need to pay for two shirts? A. $50 B. $80 C. $100 解题技巧 技巧1:速记原则 —— “写数字,不写单词” 听到任何数字,立刻用阿拉伯数字写下来,不要写英文单词! 听到 ❌ 错误写法 ✅ 正确写法 fifteen past eight fifteen past eight 8:15 two hundred and ten thousand two hundred and ten thousand 210,000 twenty percent off twenty percent off 20% off 男士35岁,女士28岁 man thirty-five, woman twenty-eight M 35, W 28 技巧2:边听边标 —— “标注数字对应关系” 多个数字出现时,在数字旁边标注指代对象,避免混淆。 示例1:The skirt was 80 dollars on the 18th at Number 8 Street. 笔记:80$(paid)、18(date)、8(street) 示例2:The concert starts at 7:00, but we need to leave 20 minutes earlier. 笔记:7:00(start)、-20(leave) 技巧3:符号速记系统 —— “一秒一个符号” 建立自己的速记符号系统,考试时直接条件反射。 含义 符号 示例 价格 / 钱 $ $50 增加 / 推迟 + 或 ↑ delay +2h 减少 / 提前 - 或 ↓ early -10min 约等于 ≈ ≈ 20 男士 / 女士 M / W M 35, W 28 技巧4:考场“三步判断法” 听到数字后,快速三步定位: 第一步:这是“已知数”还是“要算的数”? 第二步:有没有信号词(delay/early/discount/off)? 第三步:题目问的到底是哪个数字?加还是减? 技巧5:避坑指南(必背!) 陷阱 应对策略 -teen 和 -ty 听混 凭重音和尾音区分,不凭单个音选答案 直接读出的数字是答案 ❌ 高考数字题大多需计算,听到的往往是干扰项 多个数字对应多个事件 速记时标注谁对应谁,看清题干问的是什么 折扣方向搞反 20% off = 八折(付80%),不是打两折! 忘算数量 题目问“两件”就要 ×2,问“每个人”就要 ÷人数 强化训练 基础篇:辨音选择题 Instructions:听音频,选择你听到的正确选项。 1.(考点:时间推算)现在几点? A. 8:30 B. 9:00 C. 9:30 2.(考点:时间推算)现在几点? A. 10:50 B. 11:00 C. 11:10 3.(考点:时间推算)现在几点? A. 12:30 B. 12:00 C. 5:30 4.(考点:时间表达)火车几点发车? A. 9:45 B. 10:15 C. 9:15 5.(考点:时间表达)他们几点见面? A. 7:30 B. 8:00 C. 8:30 6.(考点:-teen vs -ty辨音)说话人穿多大尺码? A. 14 B. 40 C. 4 7.(考点:数量运算)每人分几个? A. 3 B. 4 C. 12 8.(考点:数量运算)每个孩子分到几块饼干? A. 6 B. 8 C. 10 9.(考点:时间推算)戏剧几点开始? A. 6:00 B. 6:30 C. 7:00 10.(考点:多步运算)一共有多少人需要住宿? A. 6 B. 12 C. 24 进阶篇:挖空听写 Instructions:听音频,在横线上填入你听到的内容。 Text 1 W: I just bought this book on sales. I paid only _____①_____ dollars for it, _____②_____ dollars off its original price. M: It's really a bargain, but Tony bought the same book for just _____③_____ the original price at another bookstore. Text 2 M: Hey, Mrs Carter, some of us want to hike further up the Great Wall, just to that next watchtower. Is that cool? W: Sure, but be careful on those steps. Some spots are steep. What time can you be back? M: No problem. We'll meet you at the bus by _____④_____, promise. W: _____⑤_____, bus leaves at _____⑥_____ sharp. And I'm not explaining to your parents why you got lost in China. M: Deal. Thanks, Mrs Carter. Text 3 Among our group of _____⑦_____ participants, _____⑧_____ have registered to compete. The remaining members will support you and explore the easier hiking paths. Well, there’s so much to discover. Let me show you this incredible place! Text 4 W: I'd like to ask _____⑨_____ dollar more per child per hour. It's only _____⑩_____% above market and I'm now a certified babysitter with training in CPR. M: I didn't know babysitting had certifications. W: Times change. I need to think about covering college tuition and saving for my retirement. 综合篇:实战训练 1. When will the speakers leave for the train station? A. At 5:30 p.m. B. At 6:30 p.m. C. At 7:30 p.m. 2. What’s the date today? A. October 15. B. October 16. C. October 17. 3. When is the deadline for the report? A. On Wednesday. B. On Thursday. C. On Friday. 4.When did Philo Farnsworth develop his original idea of sending pictures through the air? A.In 1916. B.In 1922. C.In 1926. 5.When will the man leave for the party? A.At about 4:00 p.m. B.At about 4:30 p.m. C.At about 5:30 p.m. 6.How much will the man pay? A. $70. B. $ 80. C. $100. 7.How much will the woman pay for her booking? A. £215 B. £350 C. £430 8. When will the next train to New York leave? A. At 10:12 p.m. B. At 10:20 p.m. C. At 10:32 p.m. 9. How long is the woman late? A. One hour. B. Two hours. C. Three hours. 10. How many days does the woman work in a week? A. About four days. B. Nearly five days. C. Almost six days. 9 / 12 学科网(北京)股份有限公司 学科网(北京)股份有限公司 学科网(北京)股份有限公司 $I just bought this book in the sales. I paid only eighteen dollars for IT, six dollars off its original Price. It's really a bargain. But tony, about the same book for just half the original Price at another bookstore. Hey, mrs. Carter, some of us want to hike further up the great wall just to that next watch tower. Is that cool? sure. But be careful on those steps. Some spots are steep. What time can . you be back? No problem. We ll meet you at the bus by three twenty . five promise three twenty bus leaves at three thirty sharp. And i'm not explaining to your parents why you got lost in china deal. Thanks, mr. Carter. Among our group of thirty participants, ten have registered to compete. The remaining members will support you and explore the easier hiking path. Ths, well, there's so much to discover. Let me show you this incredible place. I'd like to ask a dollar more per child per hour. It's only ten percent above. And i'm now a certified babysitter with training in C. P. R. I didn't know babysitting and certifications. Times change. I need to think about covering college tuition and saving for my retirement. Oh, hi, I missed my nine o'clock train to bedford. Do I have to buy another ticket? no. The next train leaves at a quarter to ten at platform eleven. The concert starts at seven pm, but we need to leave twenty minutes earlier to catch the subway. Okay, i'll meet you at the station at six thirty then. How much is the ticket? Normally fifteen dollars per adult, but students get a fifty percent discount. However, if you come in a group of channel more, it's only five dollars per person. How much did you pay for IT? I only paid eighty dollars for IT on the eighteen th th number eight street. The shirt costs fifty dollars, but there is a twenty percent discount if you buy two. Dear, you said you have a meeting to attend at nine o'clock. Hurry up now. You only get half an hour before IT starts. I am busy. I must finish my paper first. The deadline is eleven AM, and there's only ten minutes left. You know, we started doing this at nine AM. I can't believe three and a half hours have passed. And look, the covered still isn't finished. The next train leaves at a quarter to ten. I'll meet you at half past eight. I'm not sure I was wearing size forty just a few months ago, but i've gained some weight recently. All my trousers are not suitable, and I especially like something in blue. We have a dozen eggs and need to split them equally among three people. I baked thirty cookies, but I want to keep six for the guests coming tomorrow. I need to divide these cookies equally among our three children. Yes, everyone says, so shall I meet you at your office at six o'clock? Then we can go and have a quick snack. The play starts at seven o'clock. We are thinking of any weekend in november, and we're going to be six couples. So we prefer six double rooms, if that's possible.

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02 数字与计算:时间、价格、编号的混合速记技巧(全国通用)2027年高考英语听力高分突破
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02 数字与计算:时间、价格、编号的混合速记技巧(全国通用)2027年高考英语听力高分突破
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