2026年江苏省部编版八年级英语下册听力专项训练习题

2026年江苏省部编版八年级英语下册听力专项训练习题一、单项选择题（每题2分，共20分）1.Listentotheconversationabouttheschooltrip.WhatactivitywillthestudentsdoonSaturday?A.Visitthemuseumandwatchaplay.B.Gotothezooandfeedtheanimals.C.Ridebikesintheparkandhaveapicnic.D.Playbasketballandwatchamovie.解析：根据听力材料，对话中提到Saturday的安排是"ridebikesintheparkandhaveapicnic"，故选C。其他选项分别对应Monday的"visitthemuseumandwatchaplay"和Tuesday的"gotothezooandfeedtheanimals"，与题干时间不符。本题考查对具体活动安排的听力理解能力，需注意时间状语和动词原形。2.Listentothedialoguebetweentwofriendsdiscussingtheirweekendplans.WhatdoesTomsuggestdoing?A.Goingtothelibrarytostudy.B.Havingabarbecueinthebackyard.C.Attendingaconcertatthestadium.D.Visitingthesciencefairdowntown.解析：听力中Tom说"Ithinkweshouldhaveabarbecueinthebackyardbecauseit’sfunandwecaninviteourfriends"，明确表达了建议烧烤。其他选项分别被Sarah否定或未提及，如图书馆学习被Tom拒绝，音乐会和科学展览未被讨论。本题考查对建议和拒绝表达的听力辨析，需注意否定词和情态动词should的用法。3.Listentotheannouncementabouttheschooltalentshow.Whichstudentwillperformadance?A.Lily,whoplaysthepiano.B.Tom,whosingsinthechoir.C.Sarah,whoactsinthedramaclub.D.David,whodancesintheballettroupe.解析：听力中明确提到"Davidwillperformadanceat7:00PM"，并补充说明"heisintheballettroupe"，与选项D完全一致。其他选项中Lily弹钢琴、Tom在合唱团唱歌、Sarah在戏剧社表演，均与题干要求不符。本题考查对人物特长和活动安排的听力匹配能力，需注意专有名词和职业描述。4.Listentotheconversationbetweenateacherandastudentabouthomework.Whatsubjectdoestheteacheraskabout?A.History,whichwasdiscussedlastweek.B.Science,whichthestudentforgottostudy.C.Geography,whichhasaquiztomorrow.D.English,whichwasassignedyesterday.解析：听力中教师问"DidyoufinishthesciencehomeworkIgaveyesterday?"，学生回答"Sorry,Ididn’thavetime"，明确指向科学作业。其他选项的时间状语和语境均不符，如历史作业上周讨论过，地理有明天的测验，英语是昨天布置的。本题考查对时间相关表达和作业内容的听力理解，需注意过去时态和情态动词didn’t的用法。5.Listentothedialogueaboutafamilytrip.WherewilltheygoonSunday?A.Tothebeachtoswim.B.Tothemountainstohike.C.Tothecitytoshop.D.Tothefarmtopickfruits.解析：听力中父亲说"WewillgotothemountainsonSundaybecausetheweatherisniceforhiking"，与选项B一致。其他选项分别被母亲否定或未提及，如海滩游泳被拒绝，城市购物和农场采摘未被讨论。本题考查对周末计划和时间状语的听力辨析，需注意形容词nice的修饰作用。6.Listentotheannouncementabouttheschoolfair.Whatwillbesoldatthefoodbooth?A.Sandwichesandlemonade.B.Pizzaandicecream.C.Tacosandsoda.D.Hotdogsandcake.解析：听力中主持人说"ThefoodboothwillsellpizzaandicecreamonFriday"，与选项B完全匹配。其他选项分别被提到但与题干时间不符，如三明治和柠檬水是周四售卖的，玉米饼和汽水是周六的，热狗和蛋糕是周日。本题考查对活动时间和商品信息的听力匹配能力，需注意星期词和名词复数。7.Listentotheconversationbetweentwostudentsabouttheirfavoritesports.WhatdoesMikelikedoing?A.Playingbasketballafterschool.B.Swimminginthepoolonweekends.C.Runningintheparkeverymorning.D.Watchingfootballgamesathome.解析：听力中Mike说"Myfavoritesportisswimming,andIgotothepooleverySaturdaymorning"，明确表达了对游泳的喜爱和具体时间。其他选项分别被Mike或Sarah否定，如篮球被Mike认为太累，跑步是Sarah的爱好，足球是两人都不喜欢的。本题考查对个人喜好和习惯的听力理解，需注意频率副词every和星期词Saturday。8.Listentothedialogueaboutamovietheater.Whattimedoesthenextshowingof"TheMagicAdventure"start?A.At3:00PMonThursday.B.At6:30PMonFriday.C.At8:00PMonSaturday.D.At10:30PMonSunday.解析：听力中售票员说"Thenextshowingof'TheMagicAdventure'isat6:30PMonFriday"，与选项B一致。其他选项的时间或日期均不符，如周三3点没有该电影，周六8点播放的是喜剧片，周日10点半是儿童电影。本题考查对电影场次和时间表的听力理解，需注意具体时间点和星期词。9.Listentotheconversationbetweentwofriendsabouttheirplansfortheschoolfestival.WhatwilltheydoonSaturday?A.Attendtheconcertintheauditorium.B.Participateintheartcompetition.C.Helpsetupthegamesbooth.D.Sellhandmadecraftsatthecraftstall.解析：听力中Sarah说"WewillhelpsetupthegamesboothonSaturdaybecauseitneedsmorevolunteers"，明确表达了周六的安排。其他选项分别被提及但与题干时间不符，如音乐会和艺术比赛是周五的，手工艺品摊位是周日。本题考查对活动时间和志愿者安排的听力辨析，需注意情态动词will和地点状语。10.Listentothedialogueaboutascienceexperiment.Whatwillthestudentsmeasure?A.Thetemperatureofthewater.B.Theheightoftheplants.C.Theweightoftherocks.D.Thespeedofthecars.解析：听力中老师说明"Wewillmeasuretheheightoftheplantseverydayforoneweek"，与选项B一致。其他选项分别被提到但与题干实验内容不符，如水温是周二测量的，岩石重量是周四的，汽车速度是周五的。本题考查对实验步骤和测量对象的听力理解，需注意时间状语everyday和名词height。二、填空题（每空2分，共20分）1.Listentotheannouncementaboutthelibraryhours.Thelibrarywillbeopenfrom8:00AMto5:00PMonweekdays,andfrom9:00AMto3:00PMonweekends.WhattimewillitcloseonFriday?Answer:5:00PM解析：听力明确说明"weekdays"包括周五，闭馆时间是"5:00PM"，故填5:00PM。本题考查对时间表达和星期词的听力理解，需注意介词to和具体时间点。2.Listentothedialogueaboutabirthdayparty.Theguestswillarriveat6:00PM,andthecakewillbecutat7:00PM.Howmanyhourswilltheguestshavetowaitbeforeeatingthecake?Answer:1hour解析：听力中提到"arriveat6:00PM"和"cutthecakeat7:00PM"，时间差为1小时，故填1hour。本题考查对时间计算和动词原形的听力理解，需注意介词at和数字1。3.Listentotheconversationbetweentwostudentsabouttheirstudyhabits.Onestudentsays,"Iusuallyreviewmynotesfor30minuteseveryevening."Whattimewillthisstudentfinishreviewingiftheystartat7:00PM?Answer:7:30PM解析：听力中提到"reviewmynotesfor30minutes"和"startat7:00PM"，时间差为30分钟，故填7:30PM。本题考查对时间计算和现在通常时态的听力理解，需注意分钟数和介词for。4.Listentothedialogueaboutaschooltrip.Thebuswillleavetheschoolat8:30AM,anditwillarriveatthemuseumat10:00AM.Howlongwillthetriptake?Answer:1hourand30minutes解析：听力中提到"leaveat8:30AM"和"arriveat10:00AM"，时间差为1小时30分钟，故填1hourand30minutes。本题考查对时间计算和过去时态的听力理解，需注意介词at和分钟数。5.Listentotheannouncementabouttheschoolconcert.Theconcertwillstartat7:30PM,anditwillendat9:00PM.Howmanysongswillbeperformedifeachsongtakes5minutes?Answer:3songs解析：听力中提到"startat7:30PM"和"endat9:00PM"，总时长为1小时30分钟（90分钟），每首歌5分钟，故填3songs。本题考查对时间计算和简单数学运算的听力理解，需注意介词at和数字90。6.Listentotheconversationbetweentwofriendsabouttheirweekendplans.Onefriendsays,"IwillgotothebeachonSaturdaymorning."Whattimewillthisfriendleavehomeiftheyneed1hourtogetthere?Answer:9:00AM解析：听力中提到"gotothebeachonSaturdaymorning"和"need1hourtogetthere"，假设出发时间是8:00AM，则填9:00AM。本题考查对时间计算和情态动词will的听力理解，需注意分钟数和介词to。7.Listentothedialogueaboutasciencefair.Theexperimentwillstartat2:00PM,anditwillfinishat4:30PM.Howmanybreakswillthestudentshaveiftheytakea15-minutebreakafter1hour?Answer:2breaks解析：听力中提到"startat2:00PM"和"finishat4:30PM"，总时长为2小时30分钟（150分钟），每1小时后休息15分钟，故填2breaks。本题考查对时间计算和情态动词will的听力理解，需注意分钟数和介词to。8.Listentotheannouncementabouttheschoolplay.Theplaywillbeginat6:00PM,anditwilllastfor2hours.Whattimewilltheplayend?Answer:8:00PM解析：听力中提到"beginat6:00PM"和"lastfor2hours"，时间差为2小时，故填8:00PM。本题考查对时间计算和现在通常时态的听力理解，需注意介词for和小时数。9.Listentotheconversationbetweentwostudentsabouttheirfavoritesubjects.Onestudentsays,"IlikeEnglishbecauseIcanreadinterestingstorieseveryday."Whattimewillthisstudentreadstoriesiftheystartat4:00PM?Answer:4:15PM解析：听力中提到"readinterestingstorieseveryday"和"startat4:00PM"，假设阅读时间为15分钟，故填4:15PM。本题考查对时间计算和情态动词like的听力理解，需注意分钟数和介词to。10.Listentothedialogueaboutaschoolcompetition.Thecompetitionwillstartat9:00AM,anditwillendat12:00PM.Howmanyteamswillparticipateifeachteamhas4members,andthereare20membersintotal?Answer:5teams解析：听力中提到"startat9:00AM"和"endat12:00PM"，总时长为3小时，每队4人，总人数20人，故填5teams。本题考查对时间计算和简单数学运算的听力理解，需注意介词at和数字20。三、判断题（每题2分，共20分）1.Listentotheannouncementabouttheschoolbusschedule.Thebuswillleavetheschoolat7:00AMandarriveatthehighschoolat7:30AM.Isthejourney30minuteslong?Answer:Yes解析：听力明确说明"leaveat7:00AM"和"arriveat7:30AM"，时间差为30分钟，故判断正确。本题考查对时间计算和现在通常时态的听力理解，需注意介词at和分钟数。2.Listentothedialoguebetweentwofriendsabouttheirweekendplans.Onefriendsays,"IwillgotothelibraryonSaturdayafternoon."DoesthisfriendhaveaplanforSaturdaymorning?Answer:No解析：听力中仅提到"gotothelibraryonSaturdayafternoon"，未提及上午计划，故判断错误。本题考查对时间状语和情态动词will的听力理解，需注意动词原形will和下午时间。3.Listentotheannouncementabouttheschoolconcert.Theconcertwillstartat7:30PMandendat9:00PM.Willtherebea15-minutebreakduringtheconcert?Answer:No解析：听力中提到"startat7:30PM"和"endat9:00PM"，总时长为1小时30分钟，未提及休息时间，故判断错误。本题考查对时间表达和现在通常时态的听力理解，需注意介词at和小时数。4.Listentotheconversationbetweentwostudentsabouttheirstudyhabits.Onestudentsays,"Iusuallystudyfor1houreveryevening."Doesthisstudentstudyonweekends?Answer:Maybe解析：听力中提到"studyfor1houreveryevening"，但未明确是否周末也学习，故判断不确定。本题考查对频率副词和情态动词will的听力理解，需注意动词原形will和未提及的时间。5.Listentothedialogueaboutascienceexperiment.Theexperimentwillstartat2:00PMandfinishat4:30PM.Willthestudentshavea30-minutebreakafter1hour?Answer:Yes解析：听力中提到"startat2:00PM"和"finishat4:30PM"，总时长为2小时30分钟，假设每1小时后休息30分钟，故判断正确。本题考查对时间计算和情态动词will的听力理解，需注意分钟数和介词to。6.Listentotheannouncementabouttheschoolbusschedule.Thebuswillleavetheschoolat8:00AMandarriveatthemiddleschoolat8:30AM.Isthejourney30minuteslong?Answer:Yes解析：听力明确说明"leaveat8:00AM"和"arriveat8:30AM"，时间差为30分钟，故判断正确。本题考查对时间计算和现在通常时态的听力理解，需注意介词at和分钟数。7.Listentothedialoguebetweentwofriendsabouttheirfavoritesubjects.Onefriendsays,"IlikemathbecauseIcansolveinterestingproblemseveryday."Doesthisfriendstudymathonweekends?Answer:Maybe解析：听力中提到"likemath"和"solveinterestingproblemseveryday"，但未明确是否周末也学习，故判断不确定。本题考查对情态动词like和频率副词的听力理解，需注意动词原形will和未提及的时间。8.Listentotheannouncementabouttheschoolconcert.Theconcertwillbeginat6:00PMandlastfor2hours.Willtheconcertendat8:00PM?Answer:Yes解析：听力中提到"beginat6:00PM"和"lastfor2hours"，时间差为2小时，故填8:00PM，判断正确。本题考查对时间计算和现在通常时态的听力理解，需注意介词for和小时数。9.Listentotheconversationbetweentwostudentsabouttheirstudyhabits.Onestudentsays,"Iusuallyreviewmynotesfor30minuteseveryevening."Doesthisstudentstudyonweekends?Answer:Maybe解析：听力中提到"reviewmynotesfor30minuteseveryevening"，但未明确是否周末也学习，故判断不确定。本题考查对频率副词和情态动词will的听力理解，需注意动词原形will和未提及的时间。10.Listentothedialogueaboutaschoolcompetition.Thecompetitionwillstartat9:00AMandendat12:00PM.Willtherebea1-hourbreakafter2hours?Answer:No解析：听力中提到"startat9:00AM"和"endat12:00PM"，总时长为3小时，未提及休息时间，故判断错误。本题考查对时间表达和现在通常时态的听力理解，需注意介词at和小时数。四、简答题（每题2分，共16分）1.Listentothedialogueaboutafamilytrip.WhatwillthefamilydoonSunday?Answer:Theywillgotothemountainstohike.解析：听力中父亲说"WewillgotothemountainsonSundaybecausetheweatherisniceforhiking"，故答案为gotothemountainstohike。本题考查对周末计划和时间状语的听力辨析，需注意形容词nice的修饰作用。2.Listentotheannouncementabouttheschoolfair.WhattimewillthefoodboothopenonSaturday?Answer:At10:00AM解析：听力中主持人说"Thefoodboothwillopenat10:00AMonSaturday"，故答案为at10:00AM。本题考查对活动时间和时间表的听力理解，需注意具体时间点和星期词。3.Listentotheconversationbetweentwostudentsabouttheirstudyhabits.Howlongdoesonestudentstudyeveryevening?Answer:For1hour解析：听力中提到"studyfor1houreveryevening"，故答案为for1hour。本题考查对时间计算和频率副词的听力理解，需注意分钟数和介词for。4.Listentothedialogueaboutascienceexperiment.Whatwillthestudentsmeasureeveryday?Answer:Theheightoftheplants解析：听力中老师说明"Wewillmeasuretheheightoftheplantseverydayforoneweek"，故答案为theheightoftheplants。本题考查对实验步骤和测量对象的听力理解，需注意时间状语everyday和名词height。5.Listentotheannouncementabouttheschoolconcert.Howmanysongswillbeperformedifeachsongtakes5minutes,andtheconcertlastsfor1hour?Answer:12songs解析：听力中提到"lastsfor1hour"（60分钟）和"eachsongtakes5minutes"，故填60÷5=12songs。本题考查对时间计算和简单数学运算的听力理解，需注意分钟数和除法。6.Listentotheconversationbetweentwofriendsabouttheirfavoritesports.Whatdoesonefriendlikedoing?Answer:SwimminginthepooleverySaturdaymorning解析：听力中Mike说"Myfavoritesportisswimming,andIgotothepooleverySaturdaymorning"，故答案为swimminginthepooleverySaturdaymorning。本题考查对个人喜好和习惯的听力理解，需注意频率副词every和星期词Saturday。7.Listentothedialogueaboutaschoolcompetition.Howmanyteamswillparticipateifeachteamhas4members,andthereare20membersintotal?Answer:5teams解析：听力中提到"eachteamhas4members"和"thereare20membersintotal"，故填20÷4=5teams。本题考查对人数计算和简单数学运算的听力理解，需注意除法。8.Listentotheannouncementabouttheschoolbusschedule.Howlongwillthejourneytakeifthebusleavestheschoolat8:00AMandarrivesatthehighschoolat8:30AM?Answer:30minutes解析：听力明确说明"leaveat8:00AM"和"arriveat8:30AM"，时间差为30分钟，故答案为30minutes。本题考查对时间计算和现在通常时态的听力理解，需注意介词at和分钟数。五、应用题（每题4分，共24分）1.Listentothedialogueaboutafamilytrip.ThefamilywillgotothemountainsonSunday.Whatwilltheydothere?Case:Thefathersays,"WewillgotothemountainsonSundaybecausetheweatherisniceforhiking.Wewillseethebeautifulsceneryandtakephotos."Answer:Theywillhikeandtakephotos.解析：听力中父亲说"WewillgotothemountainsonSundaybecausetheweatherisniceforhiking.Wewillseethebeautifulsceneryandtakephotos"，故答案为hikeandtakephotos。本题考查对周末计划和时间状语的听力辨析，需注意动词原形will和形容词nice的修饰作用。2.Listentotheannouncementabouttheschoolfair.ThefoodboothwillsellpizzaandicecreamonSaturday.Howmanyhourswilltheboothbeopen?Case:Thehostsays,"Thefoodboothwillopenat10:00AMonSaturdayandcloseat3:00PM.Pizzaandicecreamwillbeavailableforsale."Answer:5hours解析：听力中主持人说"Thefoodboothwillopenat10:00AMonSaturdayandcloseat3:00PM"，时间差为5小时，故答案为5hours。本题考查对活动时间和时间表的听力理解，需注意具体时间点和星期词。3.Listentotheconversationbetweentwostudentsabouttheirstudyhabits.Onestudentsays,"Iusuallyreviewmynotesfor30minuteseveryevening."HowmanyeveningswilltheystudyiftheystudyeverydayexceptSunday?Case:Thestudentsays,"IstudyeverydayexceptSunday.Ireviewmynotesfor30minuteseveryevening."Answer:6evenings解析：听力中提到"studyeverydayexceptSunday"和"reviewmynotesfor30minuteseveryevening"，假设一周7天，则6个晚上，故答案为6evenings。本题考查对频率副词和情态动词will的听力理解，需注意动词原形will和未提及的时间。4.Listentothedialogueaboutascienceexperiment.Theexperimentwillstartat2:00PMandfinishat4:30PM.Howmanybreakswillthestudentshaveiftheytakea15-minutebreakafter1hour?Case:Theteachersays,"Theexperimentwillstartat2:00PMandfinishat4:30PM.Youwilltakea15-minutebreakafter1hour."Answer:2breaks解析：听力中提到"startat2:00PM"和"finishat4:30PM"，总时长为2小时30分钟，每1小时后休息15分钟，故填2breaks。本题考查对时间计算和情态动词will的听力理解，需注意分钟数和介词to。5.Listentotheannouncementabouttheschoolconcert.Theconcertwillbeginat7:30PMandlastfor2hours.Howmanysongswillbeperformedifeachsongtakes5minutes?Case:Thehostsays,"Theconcertwillbeginat7:30PMandlastfor2hours.Eachsongtakes5minutes."Answer:12songs解析：听力中提到"beginat7:30PM"和"lastfor2hours"（120分钟），每首歌5分钟，故填120÷5=12songs。本题考查对时间计算和简单数学运算的听力理解，需注意分钟数和除法。6.Listentotheconversationbetweentwofriendsabouttheirfavoritesports.Onefriendsays,"IlikeswimmingbecauseIcangotothepooleverySaturdaymorning."Howmanyhourswilltheyspendswimmingiftheyswimfor1houreachtime?Case:Thefriendsays,"IlikeswimmingbecauseIcangotothepooleverySaturdaymorning.Iswimfor1houreachtime."Answer:1hour解析：听力中提到"swimfor1houreachtime"和"everySaturdaymorning"，假设每次游泳1小时，故答案为1hour。本题考查对个人喜好和习惯的听力理解，需注意频率副词every和星期词Saturday。六、标准答案及解析一、单项选择题1.C解析：听力明确说明Saturday的安排是"ridebikesintheparkandhaveapicnic"，故选C。其他选项分别对应Monday的"visitthemuseumandwatchaplay"和Tuesday的"gotothezooandfeedtheanimals"，与题干时间不符。2.B解析：听力中Tom说"Ithinkweshouldhaveabarbecueinthebackyardbecauseit’sfunandwecaninviteourfriends"，明确表达了建议烧烤。其他选项分别被Sarah否定或未提及。3.D解析：听力中明确提到"Davidwillperformadanceat7:00PM"，并补充说明"heisintheballettroupe"，与选项D完全一致。4.B解析：听力中教师问"DidyoufinishthesciencehomeworkIgaveyesterday?"，学生回答"Sorry,Ididn’thavetime"，明确指向科学作业。5.B解析：听力中父亲说"WewillgotothemountainsonSundaybecausetheweatherisniceforhiking"，与选项B一致。6.B解析：听力中主持人说"ThefoodboothwillsellpizzaandicecreamonFriday"，与选项B完全匹配。7.B解析：听力中Mike说"Myfavoritesportisswimming,andIgotothepooleverySaturdaymorning"，明确表达了对游泳的喜爱和具体时间。8.B解析：听力中售票员说"Thenextshowingof'TheMagicAdventure'isat6:30PMonFriday"，与选项B一致。9.C解析：听力中Sarah说"WewillhelpsetupthegamesboothonSaturdaybecauseitneedsmorevolunteers"，明确表达了周六的安排。10.B解析：听力中老师说明"Wewillmeasuretheheightoftheplantseverydayforoneweek"，与选项B一致。二、填空题1.5:00PM解析：听力明确说明"weekdays"包括周五，闭馆时间是"5:00PM"，故填5:00PM。2.1hour解析：听力中提到"arriveat6:00PM"和"cutthecakeat7:00PM"，时间差为1小时，故填1hour。3.7:30PM解析：听力中提到"reviewmynotesfor30minutes"和"startat7:00PM"，时间差为30分钟，故填7:30PM。4.1hourand30minutes解析：听力中提到"leaveat8:30AM"和"arriveat10:00AM"，时间差为1小时30分钟，故填1hourand30minutes。5.3songs解析：听力中提到"startat7:30PM"和"endat9:00PM"，总时长为1小时30分钟（90分钟），每首歌5分钟，故填3songs。6.9:00AM解析：听力中提到"gotothebeachonSaturdaymorning"和"need1hourtogetthere"，假设出发时间是8:00AM，则填9:00AM。7.2breaks解析：听力中提到"startat2:00PM"和"finishat4:30PM"，总时长为2小时30分钟，每1小时后休息15分钟，故填2breaks。8.8:00PM解析：听力中提到"beginat6:00PM"和"lastfor2hours"，时间差为2小时，故填8:00PM。9.4:15PM解析：听力中提到"readinterestingstorieseveryday"和"startat4:00PM"，假设阅读时间为15分钟，故填4:15PM。10.5teams解析：听力中提到"startat9:00AM"和"endat12:00PM"，总时长为3小时，每队4人，总人数20人，故填5teams。三、判断题1.Yes解析：听力明确说明"leaveat7:00AM"和"arriveat7:30AM"，时间差为30分钟，故判断正确。2.No解析：听力中仅提到"gotothelibraryonSaturdayafternoon"，未提及上午计划，故判断错误。3.No解析：听力中提到"startat7:30PM"和"endat9:00PM"，总时长为1小时30分钟，未提及休息时间，故判断错误。4.Maybe解析：听力中提到"studyfor1houreveryevening"，但未明确是否周末也学习，故判断不确定。5.Yes解析：听力中提到"startat2:00PM"和"finishat4:30PM"，总时长为2小时30分钟，假设每1小时后休息30分钟，故判断正确。6.Yes解析：听力明确说明"leaveat8:00AM"和"arriveat8:30AM"，时间差为30分钟，故判断正确。7.Maybe解析：听力中提到"likemath"和"solv