精品解析：2024-2025学年山东省济南市历下区人教PEP版六年级上册期末测试英语试卷

小学英语六年级期末测试题C卷 (2025.1) Read and sort. (读一读，将下列单词或词组根据图片进行分类。填序号。) A. playing basketball B. science museum C. angry D. hospital E. cooking Chinese food F. cinema G. worried H. happy I. doing kung fu J. running 1. Place: __________ 2. Hobby: __________ 3. Feeling: __________ 【答案】1. BDF 2. AEIJ 3. CGH 【解析】 【1题详解】 Place名词，地方。science museum科学博物馆，hospital医院，cinema电影院，都是表达地方的词，故选BDF。 【2题详解】 Hobby名词，爱好。playing basketball打篮球，cooking Chinese food做中国食物，doing kung fu做功夫，running跑步，都描述的是爱好，故选AEIJ。 【3题详解】 Feeling感觉。angry生气的，worried担心的，happy快乐的，都是描述心情的形容词，故选CGH。 Read and choose. (选择最佳选项，并将序号填在括号内。) 4. I go to Daming Lake ______ bus, because my home is ______. ( ) A. by; fast B. on; near C. by; far 【答案】C 【解析】 【详解】句意：我坐公交去大明湖，因为我的家远。本题考查介词固定搭配和形容词辨析。by bus介词固定搭配，坐公交，on+限定词+表示交通工具的名词，可以表达交通方式。fast快的，near近的，far远的，坐公交应该是离家远，故选C。 5. In England, people drive on the _______ side of the road. In China, people drive on the _______ side of the road. ( ) A. left; right B. left; left C. right; left 【答案】A 【解析】 【详解】句意：在英国，人们在道路的左侧驾驶。在中国，人们在道路的右侧驾驶。本题考查形容词辨析。根据常识英国人在道路左侧驾驶，left左边的；中国人在道路右侧驾驶，right右边的，故选A。 6. —What ______ you going to do next weekend? ( ) —I ______ going to read some books. A. are; am B. are; is C. is; am 【答案】A 【解析】 【详解】句意：—下周末你打算去做什么？—我打算读书。本题考查be动词。be going to表示计划打算做某事，第一句主语是you，be动词用are。第二句主语是I，be动词用am，故选A。 7. She’s going to the supermarket ______ her mother tomorrow. ( ) A. with B. and C. but 【答案】A 【解析】 【详解】句意：她明天打算和她的妈妈去超市。本题考查伴随介词。A和，介词；B和，连词；C但是，连词。句子缺少介词做伴随状语，故选A。 8. My father often ______ to work by bus. ( ) A. go B. goes C. going 【答案】B 【解析】 【详解】句意：我的爸爸经常坐公交去上班。本题考查动词的形式。A是动词原形，B是动词的第三人称单数，C是动词的现在分词或者动名词。根据often可知时态是一般现在时，主语是第三人称单数，谓语动词用第三人称单数形式，故选B。 9. Does he often _____ sports after school? ( ) A. play B. plays C. playing 【答案】A 【解析】 【详解】句意：他放学后经常做运动吗？本题考查动词的形式，A是动词原形，B是动词的第三人称单数，C是动词的ing形式，助动词does后的动词用原形，故选A。 10. ______ your pen pal like ______ English? ( ) A. Do; study B. Does; study C. Does; studying 【答案】C 【解析】 【详解】句意：你的笔友喜欢学习英语吗？本题考查助动词和动词的形式。A是助动词原形；动词原形。B是助动词do的第三人称单数；动词原形。C是助动词do的第三人称单数；动词的现在分词或动名词。句子是一般现在时，主语是pen pal，助动词用第三人称单数；like后接动词的不定式或动名词。故选C。 11. 如果想知道Sarah的爸爸是做什么工作的，应该怎样问？( ) A. What does your father work? B. What does your father do? C. What does your father job? 【答案】B 【解析】 【详解】本题考查情景交际。A表达错误。B你的爸爸是做什么的？C表达错误。题干想问对方爸爸的工作，故选B。 12. 张鹏的爆米花被妹妹吃完了，他很生气。你应该给他什么建议？( ) A. You should wear warm clothes. B. You should take a deep breath and count to ten. C. You should plant more popcorn seeds. 【答案】B 【解析】 【详解】本题考查情景交际。A你应该穿暖和的衣服。B你应该深呼吸并且数到十。C你应该多种树。题目是张鹏的爆米花被妹妹吃完了，他很生气，B符合题意，故选B。 13. —Where does Amy work? ( ) —______ A. She lives in Beijing. B. She is a secretary. C. She works in a university. 【答案】C 【解析】 【详解】句意：—艾米在哪里工作？—她在一所大学工作。本题考查特殊疑问句的答语。A她住在北京。B她是一个秘书。C她在一所大学工作。根据问句可知，答语应回答工作地点，选项C符合题意，故选C。 Read and match. (读问句，选答语。) A. It’s behind the cinema. B. He is an artist. C. She likes dancing and swimming. D. Usually I go to school on foot. E. She is going to take a trip. 14. How do you go to school? （ ） 15. Where is the restaurant? （ ） 16 What is Sarah going to do? （ ） 17. What are Amy’s hobbies? （ ） 18. What does your brother do? （ ） 【答案】14. D 15. A 16. E 17. C 18. B 【解析】 【14题详解】 句意：你怎么样去上学？该句回答交通方式，D选项“我通常步行去上学。”与句子匹配，故选D。 【15题详解】 句意：饭店在哪里？该句回答地点，A选项“它在电影院后面。”与句子匹配，故选A。 【16题详解】 句意：萨拉打算去做什么？该句表达做什么，E选项“她打算去旅行。”与句子匹配，故选E。 【17题详解】 句意：艾米的爱好是什么？该句表达爱好，C选项“她喜欢跳舞和游泳。”与句子匹配，故选C。 【18题详解】 句意：你的哥哥是做什么的？该句表达哥哥的工作，B选项“他是一名画家。”与句子匹配，故选B。 Read and choose. (读对话，选择合适的选项将对话补充完整。有两个多余选项。) Ben and Sam are talking about this weekend. Ben: Hello, Sam! The weekend is coming. Let’s play football tomorrow. Sam: Sorry, Ben! I will be busy tomorrow. Ben: ___19___ Sam: I will go the nature park with my uncle. Ben: Really? ___20___ Sam: He is an art teacher. He works at a university in our city. He often goes hiking with us. Ben: ___21___ The park is very far. How can you get there? Sam: My uncle has a new car. ___22___ Ben: Amazing! The weather report says it will be very cold this weekend. ___23___ Sam: Thank you for your advice. Then we can play football together on Sunday. Ben: Good idea. A. You should wear warm clothes. B. What are you going to do? C. He is going to drive there. D. That’s nice. E. Does he like playing football? F. What does your uncle do? G. Where are they going? 【答案】19. B 20. F 21. D 22. C 23. A 【解析】 【导语】本文主要讲述了本和山姆在谈论周末计划。 【19题详解】 下句说：我要和我的叔叔/舅舅去自然公园。可知要问对方要做什么，选项B“你打算做什么？”，符合语境，故选B。 【20题详解】 下句说：他是一个美术老师。可知要问职业，选项F“你的叔叔/舅舅是做什么的？”，符合语境，故选F。 21题详解】 上句说：他经常和我们一起徒步旅行。可知要对此事做出评价，选项D“那很好。”，符合语境，故选D。 【22题详解】 上句说：我的叔叔/舅舅有一辆新车。可知要继续补充，选项C“他打算开车去那。”，符合语境，故选C。 【23题详解】 上句说：天气预报说这周末天气会很冷。可知要继续补充，选项A“你们应该穿温暖的衣服。”，符合语境，故选A。 Read and fill. (读短文，选择合适的单词，将其序号填在横线上。) In Qi State(齐国), there are 300 musicians(音乐家) playing the yu for the king. If they can ___24___ the yu well, they will ___25___ good rewards(奖赏) . Mr Nanguo hears about this. He says: “I’m going to ___26___ rich because I will play the yu ___27___ the king. People don’t believe(相信) him because he ___28___ play the yu.” When Mr Nanguo meets the king, he says, “I’m very good ___29___ playing the yu. Let me have a try and you’ll know.” Then Mr Nanguo begins to play the yu with 300 other ___30___. He pretends(假装) he can play the yu well. When it’s over, the king feels ___31___ and gives him ___32___ of money. Several years later the new king likes solos(独奏). Mr Nanguo feels ___33___, and he has to run away. Then all the people know that he can’t play the yu at all. A. can’t B. be C. play D. get E. musicians F. happy G. at H. afraid I. lots J. for 【答案】24. C 25. D 26. B 27. J 28. A 29. G 30. E 31. F 32. I 33. H 【解析】 【导语】本文主要介绍《滥竽充数》的故事。 【24题详解】 句意：如果他们竽吹得好，他们将得到好地奖赏。play the yu动词短语，符合题意，故选C。 【25题详解】 句意：如果他们竽吹得好，他们将得到好地奖赏。get good rewards动词短语，得到奖赏，故选D。 【26题详解】 句意：我将变富有。rich是形容词，和be动词连用，故选B。 【27题详解】 句意：因为我将为国王吹芋。for介词，为了，for the king为国王，故选J。 【28题详解】 句意：人们不相信他，因为他不会吹芋。根据“People don’t believe(相信) him”可知他不会吹芋，can’t情态动词，不会，故选A。 【29题详解】 句意：我非常擅长吹芋。be good at固定搭配，擅长，故选G。 【30题详解】 句意：然后南郭先生开始和其他的300个音乐家吹芋。根据“play the yu”可知和其他的音乐家吹芋，故选E。 【31题详解】 句意：当结束后，国王感到很开心并且给了他大量的钱。根据“gives him___ of money”可知国王是开心的，happy形容词，开心的，故选F。 【32题详解】 句意：当结束后，国王感到很开心并且给了他大量的钱。lots of固定搭配，许多的，大量的，故选I。 【33题详解】 句意：南郭先生感到害怕，并且他不得不逃跑了。根据“and he has to run away.”可知南郭先生是害怕的，afraid形容词，害怕的，故选H。 Read and choose. (阅读理解。) A 阅读材料，选择正确的答案。 Shall we sing? I like singing! How about you? There is a singing contest next Saturday. We need you! Let’s sing together! Call Lily: 1381920xxxx. Share our books! What is your hobby? Do you like reading? Bring your favourite storybooks on Sunday afternoon. Let’s read together at my home. Call Mary: 883922xx. ______ Do you want to learn Chinese kung fu? Come to the kung fu club! Meet Robin on the playground. He teaches students to do kung fu. You’ll be strong and cool. Contact(联系) Robin: robin@xxx.com. Cook! Cook! Cook! Do you like cooking? Do you like delicious food? There is a cooking class in the canteen(食堂) . Miss Green will teach you to cook. Meet you every Friday afternoon at 1:00 p.m. Miss Green’s social media ID: 53368xxxx. 34. If you like singing, who can you contact? ( ) A. Lily. B. Mary. C. Robin. 35. If you like reading, when can you share your books? ( ) A. Next Saturday. B. On Sunday afternoon. C. Every Friday afternoon. 36. Who can teach you to cook? ( ) A. Mary. B. Miss Green. C. Robin. 37. Where can you learn Chinese kung fu? ( ) A. At home. B. In the canteen. C. On the playground. 38. What is the best title(标题) for the kung fu club? ( ) A. Kung Fu Club, YOUR club! B. Let’s read together! C. Let’s cook! 【答案】34. A 35. B 36. B 37. C 38. A 【解析】 【导语】本文主要介绍唱歌、阅读、功夫和烹饪四个俱乐部的信息。 【34题详解】 句意：如果你喜欢唱歌，你可以联系谁？A丽丽。B玛丽。C罗宾。根据“Call Lily: 1381920xxxx.”可知可以联系丽丽，故选A。 【35题详解】 句意：如果你喜欢看书，你什么时候可以分享你的书？A下周六。B在周日下午。C每周五下午。根据“Bring your favourite storybooks on Sunday afternoon.”可知周日下午可以带上自己最喜欢的故事书来分享，故选B。 【36题详解】 句意：谁可以教你做饭？A玛丽。B格林小姐。C罗宾。根据“Miss Green will teach you to cook.”可知格林小姐会教大家烹饪，故选B。 【37题详解】 句意：你可以在哪学习中国功夫？A在家。B在食堂。C在操场。根据“Meet Robin on the playground”可知功夫俱乐部在操场上，故选C。 【38题详解】 句意：功夫俱乐部的最佳标题是什么？A功夫俱乐部，你的俱乐部！B让我们一起看书！C让我们烹饪！A符合题意，故选A。 B 读短文，选择正确的答案。 Winter holiday is coming. I’m going to have a trip with my parents and my little sister to Inner Mongolia(内蒙古). We are going to take a plane there. We will live in a Mongolian yurt(蒙古包) for four days. On the first day, we will go to some nice places and take some photos. On the second day, we will ride horses on the grassland. On the third day, we will eat some delicious food, and we will also drink some fresh milk. Mongolian people wear different clothes from us. On the fourth day, we will dress up and have a party together. After that, we will go to the market to buy some Mongolian food and souvenirs(纪念品). Then we will come back to Jinan by train. That must be very interesting! 39. We are going to Inner Mongolia ______. ( ) A. by train B. by plane C. by horse 40. We will ride horses ______. ( ) A. in a Mongolian yurt B. on the playground C. on the second day 41. We will buy souvenirs ______. ( ) A. in the market B. on the grassland C. in Jinan 42 We will not ______ during the trip. ( ) A. go to nice places B. climb mountains C. drink fresh milk 43. The trip will be ______. ( ) A. bad B. interesting C. sad 【答案】39. B 40. C 41. A 42. C 43. B 【解析】 【导语】本文主要讲述了作者打算在寒假期间和家人一起去内蒙古旅行。 【39题详解】 句意：我们打算__________去内蒙古。A坐火车，B坐飞机，C骑马。根据“We are going to take a plane there.”可知作者一家打算坐飞机去，故选B。 【40题详解】 句意：我们将___________骑马。A在蒙古包里，B在操场上，C在第二天。根据“On the second day, we will ride horses on the grassland.”可知作者将在第二天在草地上骑马，故选C。 【41题详解】 句意：我们将__________买一些纪念品。A在市场上，B在草地上，C在济南。根据“After that, we will go to the market to buy some Mongolian food and souvenirs(纪念品).”可知作者将在市场买一些纪念品，故选A。 【42题详解】 句意：我们在旅行期间将不会__________。A去漂亮的地方，B爬山，C喝鲜奶。根据“On the first day, we will go to some nice places and take some photos.”“On the third day, we will eat some delicious food, and we will also drink some fresh milk.”可知作者将在那去漂亮的地方和吃美食、喝鲜奶，故选C。 【43题详解】 句意：这次旅行将会很___________。A糟糕的，B有趣的，C难过的。根据“That must be very interesting!”可知这场旅行将很有趣，故选B。 C 读短文，判断正(T)误(F)。 Anna and Bella are good friends in a big city. Anna is a teacher. She works in a university. She loves to ride her bike to the university every day. She wants to have a healthy life. Bella, on the other hand, is a nurse. She works in a hospital. She often goes to work by subway. Because it’s faster and more convenient for her busy schedule. Anna and Bella often meet up for lunch and share stories about their day. Both of them like listening to music very much, so they often go to the concert together. They both believe that their hobbies and different careers enrich their friendship day by day. 44. Anna is a teacher. She goes to work by bike. （ ） 45. Bella is a doctor and she works in a hospital. （ ） 46. Anna likes listening to music. （ ） 47. Anna and Bella often eat lunch together. （ ） 48. Bella is very busy in the hospital. （ ） 【答案】44. T 45. F 46. T 47. T 48. T 【解析】 【导语】本文主要介绍了安娜和贝拉的基本信息。 【44题详解】 句意：安娜是一名教师。她骑自行车上班。根据“Anna is a teacher. She works in a university. She loves to ride her bike to the university every day.”可知安娜是一名大学教师，她每天骑自行车上班，故答案为T。 【45题详解】 句意：贝拉是一名医生，她在医院工作。根据“Bella, on the other hand, is a nurse. She works in a hospital.”可知贝拉是一名护士，故答案为F。 【46题详解】 句意：安娜喜欢听音乐。根据“Both of them like listening to music very much, so they often go to the concert together.”可知安娜和贝拉都喜欢听音乐，故答案T。 【47题详解】 句意：安娜和贝拉经常一起吃午餐。根据“Anna and Bella often meet up for lunch and share stories about their day.”可知安娜和贝拉经常见面一起吃午餐，故答案为T。 【48题详解】 句意：贝拉在医院很忙。根据“Because it’s faster and more convenient for her busy schedule.”可知贝拉在医院很忙，故答案为T。 49. Writing. (妙笔生花。) 根据思维导图，向大家介绍一下你和你的家人。不少于5句话。 My family _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ 【答案】范文： My family I am Jim. I have a happy family. My father is a doctor. He goes to work by car. He likes playing basketball. My mother is a teacher. She teaches English in my school. She drives me to school every day. I am going to be a scientist in the future. I like reading books about science. I am going to visit Beijing during winter vacation. My little sister is only three years old. She is outgoing and lovely. She feels happy every day. 【解析】 【详解】题干解读：该题目要求根据思维导图介绍自己和家人，包括工作，爱好，上班的方式，性格等。时态以一般现在时，人称是第三人称和第一人称，同时注意句子数量的要求。 参考词汇和句型： 参考词汇：doctor医生，by car开车，teacher老师，scientist科学家，read books读书，play basketball打篮球，lovely可爱的，outgoing外向的，happy快乐的 参考句型：My father is...；He likes...；I am going to...；I like...；She feels... 第1页/共1页 学科网（北京）股份有限公司 $$ 小学英语六年级期末测试题C卷 (2025.1) Read and sort. (读一读，将下列单词或词组根据图片进行分类。填序号。) A. playing basketball B. science museum C. angry D. hospital E. cooking Chinese food F. cinema G. worried H. happy I. doing kung fu J. running 1. Place: __________ 2. Hobby: __________ 3. Feeling: __________ Read and choose. (选择最佳选项，并将序号填在括号内。) 4. I go to Daming Lake ______ bus, because my home is ______. ( ) A. by; fast B. on; near C. by; far 5. In England, people drive on the _______ side of the road. In China, people drive on the _______ side of the road. ( ) A. left; right B. left; left C. right; left 6. —What ______ you going to do next weekend? ( ) —I ______ going to read some books. A. are; am B. are; is C. is; am 7. She’s going to the supermarket ______ her mother tomorrow. ( ) A with B. and C. but 8. My father often ______ to work by bus. ( ) A. go B. goes C. going 9. Does he often _____ sports after school? ( ) A. play B. plays C. playing 10. ______ your pen pal like ______ English? ( ) A. Do; study B. Does; study C. Does; studying 11. 如果想知道Sarah的爸爸是做什么工作的，应该怎样问？( ) A. What does your father work? B. What does your father do? C. What does your father job? 12. 张鹏的爆米花被妹妹吃完了，他很生气。你应该给他什么建议？( ) A. You should wear warm clothes. B. You should take a deep breath and count to ten. C. You should plant more popcorn seeds. 13. —Where does Amy work? ( ) —______ A She lives in Beijing. B. She is a secretary. C. She works in a university. Read and match. (读问句，选答语。) A. It’s behind the cinema. B. He is an artist. C. She likes dancing and swimming. D. Usually I go to school on foot. E. She is going to take a trip. 14. How do you go to school? （ ） 15. Where is the restaurant? （ ） 16. What is Sarah going to do? （ ） 17. What are Amy’s hobbies? （ ） 18. What does your brother do? （ ） Read and choose. (读对话，选择合适的选项将对话补充完整。有两个多余选项。) Ben and Sam are talking about this weekend. Ben: Hello, Sam! The weekend is coming. Let’s play football tomorrow. Sam: Sorry, Ben! I will be busy tomorrow. Ben: ___19___ Sam: I will go the nature park with my uncle. Ben: Really? ___20___ Sam: He is an art teacher. He works at a university in our city. He often goes hiking with us. Ben: ___21___ The park is very far. How can you get there? Sam: My uncle has a new car. ___22___ Ben: Amazing! The weather report says it will be very cold this weekend. ___23___ Sam: Thank you for your advice. Then we can play football together on Sunday. Ben: Good idea. A. You should wear warm clothes. B. What are you going to do? C He is going to drive there. D. That’s nice. E. Does he like playing football? F. What does your uncle do? G. Where are they going? Read and fill. (读短文，选择合适的单词，将其序号填在横线上。) In Qi State(齐国), there are 300 musicians(音乐家) playing the yu for the king. If they can ___24___ the yu well, they will ___25___ good rewards(奖赏) . Mr Nanguo hears about this. He says: “I’m going to ___26___ rich because I will play the yu ___27___ the king. People don’t believe(相信) him because he ___28___ play the yu.” When Mr Nanguo meets the king, he says, “I’m very good ___29___ playing the yu. Let me have a try and you’ll know.” Then Mr Nanguo begins to play the yu with 300 other ___30___. He pretends(假装) he can play the yu well. When it’s over, the king feels ___31___ and gives him ___32___ of money. Several years later, the new king likes solos(独奏). Mr Nanguo feels ___33___, and he has to run away. Then all the people know that he can’t play the yu at all. A. can’t B. be C. play D. get E. musicians F. happy G. at H. afraid I. lots J. for Read and choose. (阅读理解。) A 阅读材料，选择正确的答案。 Shall we sing? I like singing! How about you? There is a singing contest next Saturday. We need you! Let’s sing together! Call Lily: 1381920xxxx. Share our books! What is your hobby? Do you like reading? Bring your favourite storybooks on Sunday afternoon. Let’s read together at my home. Call Mary: 883922xx. ______ Do you want to learn Chinese kung fu? Come to the kung fu club! Meet Robin on the playground. He teaches students to do kung fu. You’ll be strong and cool. Contact(联系) Robin: robin@xxxcom. Cook! Cook! Cook! Do you like cooking? Do you like delicious food? There is a cooking class in the canteen(食堂) . Miss Green will teach you to cook. Meet you every Friday afternoon at 1:00 p.m. Miss Green’s social media ID: 53368xxxx. 34. If you like singing, who can you contact? ( ) A. Lily. B. Mary. C. Robin. 35. If you like reading, when can you share your books? ( ) A. Next Saturday. B. On Sunday afternoon. C. Every Friday afternoon. 36. Who can teach you to cook? ( ) A. Mary. B. Miss Green. C. Robin. 37. Where can you learn Chinese kung fu? ( ) A. At home. B. In the canteen. C. On the playground. 38. What is the best title(标题) for the kung fu club? ( ) A. Kung Fu Club, YOUR club! B. Let’s read together! C. Let’s cook! B 读短文，选择正确的答案。 Winter holiday is coming. I’m going to have a trip with my parents and my little sister to Inner Mongolia(内蒙古). We are going to take a plane there. We will live in a Mongolian yurt(蒙古包) for four days. On the first day, we will go to some nice places and take some photos. On the second day, we will ride horses on the grassland. On the third day, we will eat some delicious food, and we will also drink some fresh milk. Mongolian people wear different clothes from us. On the fourth day, we will dress up and have a party together. After that, we will go to the market to buy some Mongolian food and souvenirs(纪念品). Then we will come back to Jinan by train. That must be very interesting! 39. We are going to Inner Mongolia ______. ( ) A. by train B. by plane C. by horse 40. We will ride horses ______. ( ) A. in a Mongolian yurt B. on the playground C. on the second day 41. We will buy souvenirs ______. ( ) A. in the market B. on the grassland C. in Jinan 42. We will not ______ during the trip. ( ) A. go to nice places B. climb mountains C. drink fresh milk 43. The trip will be ______. ( ) A bad B. interesting C. sad C 读短文，判断正(T)误(F)。 Anna and Bella are good friends in a big city. Anna is a teacher. She works in a university. She loves to ride her bike to the university every day. She wants to have a healthy life. Bella, on the other hand, is a nurse. She works in a hospital. She often goes to work by subway. Because it’s faster and more convenient for her busy schedule. Anna and Bella often meet up for lunch and share stories about their day. Both of them like listening to music very much, so they often go to the concert together. They both believe that their hobbies and different careers enrich their friendship day by day. 44. Anna is a teacher. She goes to work by bike. （ ） 45. Bella is a doctor and she works in a hospital. （ ） 46. Anna likes listening to music. （ ） 47. Anna and Bella often eat lunch together. （ ） 48. Bella is very busy in the hospital. （ ） 49. Writing. (妙笔生花。) 根据思维导图，向大家介绍一下你和你的家人。不少于5句话。 My family _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ 第1页/共1页 学科网（北京）股份有限公司 $$