2020年吉林省吉林五中中考数学一模试卷
一、单项选择题（每小题2分，共12分）
1．（2分）在![](https://wkrtcs.bdimg.com/rtcs/image?w=29&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"29","h":"20","c":"40840efe8331e2645667b1a21ac77f95.png"})
A．
2．（2分）如图所示的几何体，从上面看到的形状图是![](https://wkrtcs.bdimg.com/rtcs/image?w=12&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"12","h":"21","c":"84c40473414caf2ed4a7b1283e48bbf4.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=172.8&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"172.8","h":"105.6","dataType":"png","c":"word/media/image9.png","imgOriW":177,"imgOriH":110})
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=57.6&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"57.6","h":"57.6","dataType":"png","c":"word/media/image10.png","imgOriW":60,"imgOriH":53})
B．
C．![](https://wkrtcs.bdimg.com/rtcs/image?w=96&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"96","h":"38.4","dataType":"png","c":"word/media/image12.png","imgOriW":98,"imgOriH":40})
D．
3．（2分）下列运算中，正确的是
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=78&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"78","h":"20","c":"90dda61f45aa5c0b2c5e3a322286aa5b.png"})
4．（2分）如图所示，直线![](https://wkrtcs.bdimg.com/rtcs/image?w=53&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"53","h":"20","c":"0ecc8192d6ba9db01ba94d94463ebaca.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=172.8&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"172.8","h":"96","dataType":"png","c":"word/media/image26.png","imgOriW":172,"imgOriH":97})
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=34&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"34","h":"25","c":"8431b80e9863efe126dc89e9b9f6aaef.png"})
5．（2分）如图，![](https://wkrtcs.bdimg.com/rtcs/image?w=29&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"29","h":"20","c":"b86fc6b051f63d73de262d4c34e3a0a9.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=144&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"144","h":"124.8","dataType":"png","c":"word/media/image42.png","imgOriW":147,"imgOriH":123})
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=35&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"35","h":"20","c":"7f408a4e674b6888a3179a6af87422fd.png"})
6．（2分）甲乙两地铁路线第约500千米，后来高铁提速，平均速度是原来火车速度的1.8倍，这样由甲到乙的行驶时间缩短了1.5小时；设原来火车的平均速度为![](https://wkrtcs.bdimg.com/rtcs/image?w=13&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"13","h":"20","c":"9dd4e461268c8034f5c8564e155c67a6.png"})
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=145&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"145","h":"43","c":"7d39c36a762dcd9b40b216b7ff3cde39.png"})
C．![](https://wkrtcs.bdimg.com/rtcs/image?w=145&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"145","h":"43","c":"0f6e3662f968b4cdf127b35b0f657234.png"})
二、填空题（每小题3分，共12分）
7．（3分）国家发改委2月7日紧急下达第二批中央预算内投资2亿元人民币，专项补助承担重症感染患者救治任务的湖北多家医院重症治疗病区建设，其中数据2亿用科学记数法表示为 元．
8．（3分）分解因式：![](https://wkrtcs.bdimg.com/rtcs/image?w=117&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"117","h":"21","c":"33c8d9e83710f3fdf91de47644b6b2f2.png"})
9．（3分）若方程![](https://wkrtcs.bdimg.com/rtcs/image?w=207&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"207","h":"22","c":"edc94b2610e358c3a52058d860ef6f5e.png"})
10．（3分）一组数据：23，27，20，18，
11．（3分）疫情期间，某医疗用品店的老板以每支
12．（3分）如图，菱形![](https://wkrtcs.bdimg.com/rtcs/image?w=55&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"55","h":"20","c":"5c1bb55ef9c7629cb0851bf30ab5cf3a.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=172.8&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"172.8","h":"201.6","dataType":"png","c":"word/media/image73.png","imgOriW":171,"imgOriH":200})
13．（3分）如图，在扇形![](https://wkrtcs.bdimg.com/rtcs/image?w=43&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"43","h":"20","c":"3070eaa611ecff1e55ade2a82b74ab24.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=144&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"144","h":"134.4","dataType":"png","c":"word/media/image86.png","imgOriW":148,"imgOriH":136})
14．（3分）如图，有一张长方形纸片![](https://wkrtcs.bdimg.com/rtcs/image?w=55&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"55","h":"20","c":"cb08ca4a7bb5f9683c19133a84872ca7.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=432&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"432","h":"105.6","dataType":"png","c":"word/media/image102.png","imgOriW":431,"imgOriH":108})
三、解答题（每小题5分，共20分）
15．（5分）老师所留的作业中有这样一个分式的计算题：![](https://wkrtcs.bdimg.com/rtcs/image?w=107&md5sum=5855e63d6989613fa32cf698c5454426&sign=c8733174b6&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=250&ipr={"t":"img","w":"107","h":"43","c":"d381e07277724b3804c5a06326a4a729.png"})
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