2024年北京燕山區(qū)六年級(jí)（上）期中數(shù)學(xué)（含答案）

第1頁(yè)/共1頁(yè)2024北京燕山六年級(jí)（上）期中數(shù)學(xué)2024年11月學(xué)校______________班級(jí)___________姓名___________考號(hào)___________考生須知1．本試卷共6頁(yè)，共五道大題，27道小題，滿分100分?？荚嚂r(shí)間100分鐘。2．在試卷和答題卡上準(zhǔn)確填寫學(xué)校名稱、班級(jí)、姓名和考號(hào)。3．試題答案一律填涂或書(shū)寫在答題卡上，在試卷上作答無(wú)效。4．2B5．考試結(jié)束，請(qǐng)將本試卷和答題卡一并交回。一、選擇題（共16分，每題2分）第1－8題均有四個(gè)選項(xiàng)，符合題意的選項(xiàng)只有一個(gè)．1．和互為倒數(shù)的是A． B． C．2.3 D．3.22．根據(jù)“紅花的朵數(shù)比黃花多”寫出的數(shù)量關(guān)系式是A．紅花的朵數(shù)＝黃花的朵數(shù)× B．黃花的朵數(shù)＝紅花的朵數(shù)×C．紅花的朵數(shù)＝黃花的朵數(shù)×D．黃花的朵數(shù)＝紅花的朵數(shù)×3．下面的四個(gè)算式中，得數(shù)最小的是A．7－ B．7× C．7÷ D．÷74．2024年“十·一”期間，北京共接待游客約2200萬(wàn)人次，其中故宮博物院共接待游客約50萬(wàn)人次，故宮博物院接待游客人數(shù)與北京共接待游客人數(shù)的比是A．1︰43B．43︰1C．1︰44D．44︰15．將3︰8的前項(xiàng)擴(kuò)大至原來(lái)的2倍，后項(xiàng)縮小至原來(lái)的，比值A(chǔ)．?dāng)U大至原來(lái)的6倍B．?dāng)U大至原來(lái)的1.5倍C．縮小至原來(lái)的D．縮小至原來(lái)的6．下列算式中，能正確表示右圖中含義的是A． B． C． D．7．下面四個(gè)情境中，兩個(gè)量的比可以用2︰5表示的是A．實(shí)驗(yàn)學(xué)校小學(xué)部有2000人，中學(xué)部有5000人，中學(xué)部與小學(xué)部的人數(shù)比B．蝸牛2分鐘爬了5cm，蝸牛所行的路程與時(shí)間的比C．錄入一份稿件，明明用16分鐘，樂(lè)樂(lè)用24分鐘，明明和樂(lè)樂(lè)的工作時(shí)間比D．一杯糖水中，糖占，水占，糖和水的比8．《周髀算經(jīng)》是中國(guó)最古老的天文學(xué)和數(shù)學(xué)著作，其中記載：“勾廣三，股修四，徑隅五”，意思是：當(dāng)直角三角形的兩條直角邊分別為3(勾)和4(股)時(shí)，斜邊（即最長(zhǎng)的邊）為5（弦）．后人簡(jiǎn)單地把這個(gè)事實(shí)說(shuō)成“勾3股4弦5”．已知一個(gè)直角三角形三條邊的長(zhǎng)度比是3︰4︰5，且斜邊的長(zhǎng)度是25cm，則這個(gè)直角三角形的周長(zhǎng)是A．15cmB．20cmC．30cmD.60cm二、填空題（共16分，每題2分）9．＝27︰＝（填小數(shù)）．10．15分＝小時(shí)；千米＝米．11．比較大小︰×；÷（填“＞”，“＜”或“＝”）．12．把一根長(zhǎng)5米的鐵絲平均分成3段，每段是這根鐵絲的，每段長(zhǎng)米．13．一般成人的身高大約是頭長(zhǎng)的8倍，即成年人的頭長(zhǎng)與身高的比大約是，比值是．14．已知乙數(shù)是甲數(shù)的，又是丙數(shù)的，如果甲數(shù)是4.8，則乙數(shù)是，丙數(shù)是．15．觀察右邊的平面圖，A，B點(diǎn)分別代表小慧家和學(xué)校所在位置，學(xué)校(B點(diǎn))在小慧家(A點(diǎn))的方向上，距離是m．16．小剛從家騎自行車去爺爺家，兩家相距8千米，小時(shí)行駛3千米，照這樣的速度，小剛上午9︰00從家出發(fā)，9：30到達(dá)爺爺家（填“能”或者“不能”）．三、計(jì)算題（共32分）17．直接寫出得數(shù)（共8分，每題1分）．（1）（2）（3）8×＝（4）（5）（6）（7）（8）18．把下列各比化成最簡(jiǎn)單的整數(shù)比（共6分，每題3分）．（1）24∶36；（2）0.69∶23．19．解方程（共6分，每題3分）．（1）；（2）．20．脫式計(jì)算（共12分，每題4分）．（1）；（2）；（3）．四、操作題（共10分，第21題6分，第22題4分）21．如圖，每個(gè)小正方形的邊長(zhǎng)為200m．(1)李明從游樂(lè)場(chǎng)出發(fā)，先向正北方向走400米，再向正東方向走200米，就是圖書(shū)館A點(diǎn)的位置，用數(shù)對(duì)表示為(，)，請(qǐng)?jiān)趫D中標(biāo)出A點(diǎn)；(2)李明放學(xué)后從學(xué)校出發(fā)，先去游樂(lè)場(chǎng)，再去郵局，最后回家．請(qǐng)畫(huà)出李明行走的路線圖，并用文字描述一下他行走的路線．22．一桶牛奶的體積是12L，一桶水的體積比牛奶多，求這桶水的體積是多少升？(1)請(qǐng)把線段圖補(bǔ)充完整；(2)這桶水的體積是升．五、解決問(wèn)題（共26分，第23-26題，每題5分，第27題6分）23．城市綠心森林公園一共有27個(gè)景點(diǎn)，國(guó)慶期間，小藍(lán)一家去公園游玩，游玩的景點(diǎn)數(shù)量占全部景點(diǎn)的，小藍(lán)一家共游玩了多少個(gè)景點(diǎn)？24．某市為了治理污水，需要鋪設(shè)一條污水排放管道，由甲隊(duì)單獨(dú)鋪設(shè)需要10天完成，乙隊(duì)單獨(dú)鋪設(shè)需要15天完成，如果兩隊(duì)合作，多少天可以鋪完這條管道？25．一間長(zhǎng)方形教室地面的周長(zhǎng)是36m，長(zhǎng)與寬的比是5︰4，求教室地面的面積．26．2024年8月12日，第33屆夏季奧運(yùn)會(huì)在巴黎閉幕，中國(guó)體育代表團(tuán)收獲40枚金牌，比2008年北京奧運(yùn)會(huì)獲得的金牌數(shù)少，中國(guó)體育代表團(tuán)在北京奧運(yùn)會(huì)上獲得多少枚金牌？27．閱讀下列材料︰材料1︰我國(guó)是一個(gè)缺水的國(guó)家，淡水資源總量為2.8萬(wàn)億立方米，約占全球淡水資源總量的，僅次于巴西、俄羅斯、加拿大、美國(guó)和印度尼西亞，名列世界第六，但是，我國(guó)水資源的人均占有量較低，約為世界人均的，是全球人均水資源最貧乏的國(guó)家之一．材料2︰據(jù)統(tǒng)計(jì)，我國(guó)660個(gè)城市中，約有的城市供水不足，其中供水不足的城市中有的城市嚴(yán)重缺水，城市年缺水總量達(dá)60億立方米．材料3︰2023年，我國(guó)人口14.1億人，人均水資源占有量只有2200立方米．預(yù)測(cè)，當(dāng)我國(guó)人口增至16億人時(shí)，人均水資源占有量將下降，接近國(guó)際公認(rèn)的水資源緊張標(biāo)準(zhǔn)．請(qǐng)根據(jù)以上信息，回答下面問(wèn)題︰（1）我國(guó)嚴(yán)重缺水的城市有多少個(gè)？（2）當(dāng)我國(guó)人口增至16億人時(shí)，人均水資源占有量為多少立方米？（3）請(qǐng)你再提出一個(gè)數(shù)學(xué)問(wèn)題并解答．

參考答案一、選擇題（共16分，每題2分）題號(hào)12345678選項(xiàng)BCDCAADD二、填空題（共16分，每題2分）9．12，2.25；10．(或0.25)，600；11．＞，＜；12．，；13．1∶8，0.125(或)；14．3.6，7.2；15．西偏北45°，1000；16．不能．三、計(jì)算題（共35分）17．直接寫出得數(shù)（共8分，每題1分）．（1）；（2）(或1.25）；（3）2；（4）(或0.25)；（5）(或0.8)（6）；（7）20；（8）．18．把下列各比化成最簡(jiǎn)單的整數(shù)比（共6分，每題3分）．解：（1）24∶36＝2∶3；·········································································3分（2）0.69∶23＝69∶2300＝3∶100．···················································3分19．解方程（共6分，每題3分）．解：（1），，·········································································1分，··············································································2分．···················································································3分（2），，··················································································1分，·······································································2分，．·················································································3分20．脫式計(jì)算（共12分，每題4分）．解：（1）原式＝············································································1分＝·············································································2分＝············································································3分＝．·············································································4分（2）原式＝·············································································2分＝．·············································································4分（3）原式＝··································································1分＝···································································2分＝1··············································································3分＝．················································································4分四、操作題（共10分，第21題6分，第22題4分）21．（1）（2，3）；A點(diǎn)的位置如圖．·························································2分（2）李明行走的路線如圖；····························································3分正東，600；向西北（或西偏北45°或北偏西45°）方向走約280m．(或向正北方向走100m，再向正西方向走100m)．·····························6分或22．（1）補(bǔ)全線段圖如下：······································································3分（2）16．·························································································4分解決問(wèn)題（共26分，第23-26題，每題5分，第27題6分）23．解：····················································································3分＝21個(gè)．··················································································4分答：小藍(lán)一家共游玩了21個(gè)景點(diǎn)．·····················································5分24．解：·············································································2分=······················································································3分=6天．·····················································································4分答：如果兩隊(duì)合作，6天可以鋪完這條管道．·········································5分25．解：m，··········································································1分，m，··········································································2分m，·················································