![](https://wkrtcs.bdimg.com/rtcs/image?w=50.67&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","r":"r_1","w":"50.67","h":"34.67","dataType":"png","c":"word/media/image1.png","imgOriW":38,"imgOriH":26})
2019-2020学年上海市黄兴中学八年级（上）数学期中测试卷
（考试时间：90分钟，满分：100分）
一、填空题（本大题共14题，每题2分，共28分）
1、![](https://wkrtcs.bdimg.com/rtcs/image?w=68&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"68","h":"29","c":"537cfe2dba3d41a5ee08884f5c48a38d.png"})
2、当![](https://wkrtcs.bdimg.com/rtcs/image?w=28&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"28","h":"20","c":"52a07ce46212cbc2298415c5fca6e075.png"})
3、计算：![](https://wkrtcs.bdimg.com/rtcs/image?w=133&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"133","h":"36","c":"94c57a0c6a5af91aacacb513ba8b137d.png"})
4、方程![](https://wkrtcs.bdimg.com/rtcs/image?w=88&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"88","h":"29","c":"39e0270f2f8400e8fa76457516600e42.png"})
5、配方：![](https://wkrtcs.bdimg.com/rtcs/image?w=171&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"171","h":"43","c":"625b0c9838902bdaef80b6638efd942f.png"})
6、不等式![](https://wkrtcs.bdimg.com/rtcs/image?w=118&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"118","h":"29","c":"bffdaf50e1ca49d59d51ad192cce1da9.png"})
7、化简：![](https://wkrtcs.bdimg.com/rtcs/image?w=142&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"142","h":"30","c":"336c371afc2ecbce4c4c8d59b77e3cb1.png"})
8、在实数范围内因式分解：![](https://wkrtcs.bdimg.com/rtcs/image?w=101&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"101","h":"21","c":"cb9d7e33666f20fdc78330ac8a47e9cc.png"})
9、如果关于![](https://wkrtcs.bdimg.com/rtcs/image?w=13&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"13","h":"20","c":"9dd4e461268c8034f5c8564e155c67a6.png"})
10、某服装原价为![](https://wkrtcs.bdimg.com/rtcs/image?w=13&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"13","h":"20","c":"0cc175b9c0f1b6a831c399e269772661.png"})
11、把命题“同角的补角相等”改写成“如果......，那么......”的形式是：
12、下列命题中，①有两边和其中一边的对角对应相等的两个三角形全等；②两条平行直线被第三条直线所截，则一组同旁内角的平分线互相垂直；③三角形的一个外角等于两个内角的和；④等边三角形既是中心对称图形，又是轴对称图形.其中假命题的个数有个
13、如图，在Δ![](https://wkrtcs.bdimg.com/rtcs/image?w=41&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"41","h":"20","c":"902fbdd2b1df0c4f70b4a5d23525e932.png"})
14、如图，在Δ
![](https://wkrtcs.bdimg.com/rtcs/image?w=186.67&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","r":"r_5","w":"186.67","h":"162.67","dataType":"gif","c":"word/media/image45.gif"})
(第14题图)
二、选择题（本大题共4题，每题3分，共12分）
15、下列关于
![](https://wkrtcs.bdimg.com/rtcs/image?w=139&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"139","h":"21","c":"896b58242c09e2664472785abb99eef8.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=132&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"132","h":"21","c":"09349c4e36bef133fc4d391d71b69923.png"})
16、已知![](https://wkrtcs.bdimg.com/rtcs/image?w=50&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"50","h":"29","c":"f73b4e9e8a7254302440a26bd12ff292.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=42&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"42","h":"20","c":"78e03f7d071eaf1f329e7f19bc1d7262.png"})
17、![](https://wkrtcs.bdimg.com/rtcs/image?w=182.67&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","r":"r_5","w":"182.67","h":"148.00","dataType":"gif","c":"word/media/image58.gif"})
如图，在Δ
![](https://wkrtcs.bdimg.com/rtcs/image?w=100&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"100","h":"20","c":"b05302322d4e25de3f7eac29ae9d7729.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=28&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"28","h":"20","c":"4b693d407b091c9ccce287401aac6dc8.png"})
18、18、在Δ
![](https://wkrtcs.bdimg.com/rtcs/image?w=123&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"123","h":"20","c":"282536a9b197bb4d8b2b74cf617036af.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=110&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"110","h":"20","c":"b5bdbbeb4e74d02d35b2a800f8198613.png"})
3、简答题（本大题共5题，每题6分，共30分）
19、计算：![](https://wkrtcs.bdimg.com/rtcs/image?w=192&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"192","h":"63","c":"6d380dda2c1b4b95d0a2cde5248c164e.png"})
20、已知![](https://wkrtcs.bdimg.com/rtcs/image?w=83&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"83","h":"54","c":"c6a4b4b0dc890380091081091f85f172.png"})
21、用配方法解方程 22、解方程
![](https://wkrtcs.bdimg.com/rtcs/image?w=113&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"113","h":"21","c":"e36841270e78d5cb03c72bbbe8d908a5.png"})
22、已知关于
四、解答题（本大题共3题，每题7分，共21分）
24、一台冰箱的成本价是1600元，按成本价增加50%作为售价，近来因为世界金融危机影响，计划进行一次打折出售，但销路仍不畅，因此再次打同样的折扣出售，卖出后与成本价比还赚了134元，问这两次所打的折扣是几折？
25、
![](https://wkrtcs.bdimg.com/rtcs/image?w=140.00&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","r":"r_0","w":"140.00","h":"134.67","dataType":"gif","c":"word/media/image96.gif"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=220.00&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","r":"r_0","w":"220.00","h":"110.67","dataType":"gif","c":"word/media/image97.gif"})
26、求证：如果三角形一边上的中线等于这边长的一半，那么这个三角形是直角三角形.
已知：
求证：
作图：
证明：
五、综合题（本题共9分）
27、已知，如图，![](https://wkrtcs.bdimg.com/rtcs/image?w=29&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"29","h":"20","c":"b86fc6b051f63d73de262d4c34e3a0a9.png"})
(1)如图1，当点![](https://wkrtcs.bdimg.com/rtcs/image?w=14&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"14","h":"20","c":"44c29edb103a2872f519ad0c9a0fdaaa.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=203.60&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","r":"r_4","w":"203.60","h":"153.67","dataType":"jpeg","c":"word/media/image112.jpeg","imgOriW":467,"imgOriH":352})
（2）在图2中，①求证：∠![](https://wkrtcs.bdimg.com/rtcs/image?w=89&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","w":"89","h":"25","c":"c5344efb6977474739ee1d8909663cd6.png"})
②随着点
![](https://wkrtcs.bdimg.com/rtcs/image?w=266.53&md5sum=e58c2d0f2aa5f1421b329c0d341bab7d&sign=03a0d22da9&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=374&ipr={"t":"img","r":"r_7","w":"266.53","h":"178.13","dataType":"jpeg","c":"word/media/image116.jpeg","imgOriW":525,"imgOriH":340})
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