2024年北京燕山区六年级（上）期中数学（含答案）

第1页/共1页2024北京燕山六年级（上）期中数学2024年11月学校______________班级___________姓名___________考号___________考生须知1．本试卷共6页，共五道大题，27道小题，满分100分。考试时间100分钟。2．在试卷和答题卡上准确填写学校名称、班级、姓名和考号。3．试题答案一律填涂或书写在答题卡上，在试卷上作答无效。4．2B5．考试结束，请将本试卷和答题卡一并交回。一、选择题（共16分，每题2分）第1－8题均有四个选项，符合题意的选项只有一个．1．和互为倒数的是A． B． C．2.3 D．3.22．根据“红花的朵数比黄花多”写出的数量关系式是A．红花的朵数＝黄花的朵数× B．黄花的朵数＝红花的朵数×C．红花的朵数＝黄花的朵数×D．黄花的朵数＝红花的朵数×3．下面的四个算式中，得数最小的是A．7－ B．7× C．7÷ D．÷74．2024年“十·一”期间，北京共接待游客约2200万人次，其中故宫博物院共接待游客约50万人次，故宫博物院接待游客人数与北京共接待游客人数的比是A．1︰43B．43︰1C．1︰44D．44︰15．将3︰8的前项扩大至原来的2倍，后项缩小至原来的，比值A．扩大至原来的6倍B．扩大至原来的1.5倍C．缩小至原来的D．缩小至原来的6．下列算式中，能正确表示右图中含义的是A． B． C． D．7．下面四个情境中，两个量的比可以用2︰5表示的是A．实验学校小学部有2000人，中学部有5000人，中学部与小学部的人数比B．蜗牛2分钟爬了5cm，蜗牛所行的路程与时间的比C．录入一份稿件，明明用16分钟，乐乐用24分钟，明明和乐乐的工作时间比D．一杯糖水中，糖占，水占，糖和水的比8．《周髀算经》是中国最古老的天文学和数学著作，其中记载：“勾广三，股修四，径隅五”，意思是：当直角三角形的两条直角边分别为3(勾)和4(股)时，斜边（即最长的边）为5（弦）．后人简单地把这个事实说成“勾3股4弦5”．已知一个直角三角形三条边的长度比是3︰4︰5，且斜边的长度是25cm，则这个直角三角形的周长是A．15cmB．20cmC．30cmD.60cm二、填空题（共16分，每题2分）9．＝27︰＝（填小数）．10．15分＝小时；千米＝米．11．比较大小︰×；÷（填“＞”，“＜”或“＝”）．12．把一根长5米的铁丝平均分成3段，每段是这根铁丝的，每段长米．13．一般成人的身高大约是头长的8倍，即成年人的头长与身高的比大约是，比值是．14．已知乙数是甲数的，又是丙数的，如果甲数是4.8，则乙数是，丙数是．15．观察右边的平面图，A，B点分别代表小慧家和学校所在位置，学校(B点)在小慧家(A点)的方向上，距离是m．16．小刚从家骑自行车去爷爷家，两家相距8千米，小时行驶3千米，照这样的速度，小刚上午9︰00从家出发，9：30到达爷爷家（填“能”或者“不能”）．三、计算题（共32分）17．直接写出得数（共8分，每题1分）．（1）（2）（3）8×＝（4）（5）（6）（7）（8）18．把下列各比化成最简单的整数比（共6分，每题3分）．（1）24∶36；（2）0.69∶23．19．解方程（共6分，每题3分）．（1）；（2）．20．脱式计算（共12分，每题4分）．（1）；（2）；（3）．四、操作题（共10分，第21题6分，第22题4分）21．如图，每个小正方形的边长为200m．(1)李明从游乐场出发，先向正北方向走400米，再向正东方向走200米，就是图书馆A点的位置，用数对表示为(，)，请在图中标出A点；(2)李明放学后从学校出发，先去游乐场，再去邮局，最后回家．请画出李明行走的路线图，并用文字描述一下他行走的路线．22．一桶牛奶的体积是12L，一桶水的体积比牛奶多，求这桶水的体积是多少升？(1)请把线段图补充完整；(2)这桶水的体积是升．五、解决问题（共26分，第23-26题，每题5分，第27题6分）23．城市绿心森林公园一共有27个景点，国庆期间，小蓝一家去公园游玩，游玩的景点数量占全部景点的，小蓝一家共游玩了多少个景点？24．某市为了治理污水，需要铺设一条污水排放管道，由甲队单独铺设需要10天完成，乙队单独铺设需要15天完成，如果两队合作，多少天可以铺完这条管道？25．一间长方形教室地面的周长是36m，长与宽的比是5︰4，求教室地面的面积．26．2024年8月12日，第33届夏季奥运会在巴黎闭幕，中国体育代表团收获40枚金牌，比2008年北京奥运会获得的金牌数少，中国体育代表团在北京奥运会上获得多少枚金牌？27．阅读下列材料︰材料1︰我国是一个缺水的国家，淡水资源总量为2.8万亿立方米，约占全球淡水资源总量的，仅次于巴西、俄罗斯、加拿大、美国和印度尼西亚，名列世界第六，但是，我国水资源的人均占有量较低，约为世界人均的，是全球人均水资源最贫乏的国家之一．材料2︰据统计，我国660个城市中，约有的城市供水不足，其中供水不足的城市中有的城市严重缺水，城市年缺水总量达60亿立方米．材料3︰2023年，我国人口14.1亿人，人均水资源占有量只有2200立方米．预测，当我国人口增至16亿人时，人均水资源占有量将下降，接近国际公认的水资源紧张标准．请根据以上信息，回答下面问题︰（1）我国严重缺水的城市有多少个？（2）当我国人口增至16亿人时，人均水资源占有量为多少立方米？（3）请你再提出一个数学问题并解答．

参考答案一、选择题（共16分，每题2分）题号12345678选项BCDCAADD二、填空题（共16分，每题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、计算题（共35分）17．直接写出得数（共8分，每题1分）．（1）；（2）(或1.25）；（3）2；（4）(或0.25)；（5）(或0.8)（6）；（7）20；（8）．18．把下列各比化成最简单的整数比（共6分，每题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，每题3分）．解：（1），，·········································································1分，··············································································2分．···················································································3分（2），，··················································································1分，·······································································2分，．·················································································3分20．脱式计算（共12分，每题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、操作题（共10分，第21题6分，第22题4分）21．（1）（2，3）；A点的位置如图．·························································2分（2）李明行走的路线如图；····························································3分正东，600；向西北（或西偏北45°或北偏西45°）方向走约280m．(或向正北方向走100m，再向正西方向走100m)．·····························6分或22．（1）补全线段图如下：······································································3分（2）16．·························································································4分解决问题（共26分，第23-26题，每题5分，第27题6分）23．解：····················································································3分＝21个．··················································································4分答：小蓝一家共游玩了21个景点．·····················································5分24．解：·············································································2分=······················································································3分=6天．·····················································································4分答：如果两队合作，6天可以铺完这条管道．·········································5分25．解：m，··········································································1分，m，··········································································2分m，·················································