篇一：2015年辽宁省营口市中考数学试题及解析
2015年辽宁省营口市中考数学试卷
一.选择题（每小题3分共30分，四个选项中只有一个选项是正确的）
2．（3分）（2015?营口）如图，是由若干个相同的小立方体搭成的几何体生物俯视图和左视图．则小立方体的个数可能是（ ）
3．（
3分）（2015?营口）函数y=中自变量x的取值范围是（ ）
4．（3分）（2015?营口）?ABCD中，对角线AC
与BD交于点O，∠DAC=42°，∠CBD=23°，则∠COD是（ ）
5．（3分）
（2015?营口）云南鲁甸发生地震后，某社区开展献爱心活动，社区党员积极向灾区捐款，如图是该社区部分党员捐款情况的条形统计图，那么本次捐款钱数的众数和中位数分别是（ ） +
6．（3分）（2015?营口）若关于x的分是方程=2有增根，则m的值是（ ）
7．（3分）（2015?营口）将弧长为2πcm，圆心角为120°的扇形围成一个圆锥的侧面，则这
8．（3分）（2015?营口）如图，△ABE和△CDE是以点E为位似中心的位似图形，已知点A（3，4），点C（2，2），点D（
3，1），则点D的对应点B的坐标是（ ）
9．（3分）（2015?营口）如图，在平面直角坐标系中，A（﹣3，1），以点O为顶点作等腰直角三角形AOB，双曲线y1=在第一象限内的图象经过点B．设直线AB的解析式为
y2=k2x+b，当y1＞y
2时，x的取值范围是（ ）
10．（3分）（2015?营口）如图，点P是∠AOB内任意一点，OP=5cm
，点M和点N分别是射线OA和射线OB上的动点，△PMN周长的最小值是5cm，则∠AOB的度数是（ ）
二.填空题（每小题3分，共24分）
211．（3分）（2015?营口）分解因式：﹣ac+bc=．
2
12．（3分）（2015?营口）过度包装既浪费资源又污染环境．据测算，如果全国每年减少十分之一的包装纸用量，那么能减少3120000吨二氧化碳的排放量．把数据3120000用科学记数法表示为．
13．（3分）（2015?营口）不等式组
14．（3分）（2015?营口）圆内接正六边形的边心距为2，则这个正六边形的面积为2cm．
15．（3分）（2015?营口）如图，正方形的阴影部分是由四个直角边长都是1和3的直角三角形组成的，假设可以在正方形内部随意取点，那么这个点取在阴影部分的概率
为．
的所有正整数解的和为．
16．（3分）（2015?营口）某服装店购进单价为15元童装若干件，销售一段时间后发现：当销售价为25元时平均每天能售出8件，而当销售价每降低2元，平均每天能多售出4件，当每件的定价为元时，该服装店平均每天的销售利润最大．
17．（3分）（2015?营口）定义：只有一组对角是直角的四边形叫做损矩形，连接它的两个非直角顶点的线段叫做这个损矩形的直径，即损矩形外接圆的直径．如图，△ABC中，∠ABC=90°，以AC为一边向形外作菱形ACEF，点D是菱形ACEF对角线的交点，连接BD．若∠DBC=60°，∠ACB=15°，BD=2，则菱形ACEF的面积为．
18．（3分）（2015?营口）如图，边长为n的正方形OABC的边OA、OC分别在x轴和y轴的正半轴上，A1、A2、A3、…、An﹣1为OA的n等分点，B1、B2、B3、…Bn﹣1为CB的n等分点，连接A1B1、A2B2、A3B3、…、An﹣1Bn﹣1，分别交y=x（x≥0）于点C1、C2、C3、…、Cn﹣1，当B25C25=8C25A25时，则n=． 2
三.解答题（19小题10分，20小题10分）
19．（10分）（2015?营口）先化简，再求值：2﹣÷（1﹣）．其中m满足一元二次方程m+（5tan30°）m﹣12cos60°=0．
20．（10分）（2015?营口）雾霾天气严重影响市民的生活质量．在今年寒假期间，某校八年级一班的综合实践小组同学对“雾霾天气的主要成因”随机调查了所在城市部分市民．并对调查结果进行了整理．绘制了如图不完整的统计图表．观察分析并回答下列问题．
（1）本次被调查的市民共有多少人？
（2）分别补全条形统计图和扇形统计图，并计算图2中区域B所对应的扇形圆心角的度数；
B两组主要成因的市民有多少人？
四.解答题
21．（12分）（2015?营口）某化妆品专卖店，为了吸引顾客，在“母亲节”当天举办了甲、乙两种品牌化妆品有奖酬宾活动，凡购物满88元，均可得到一次摇奖的机会．已知在摇奖机
内装有2个红球和2个白球，除颜色外其它都相同，摇奖者必须从摇奖机内一次连续摇出两
（2）如果一个顾客当天在本店购物满88元，若只考虑获得最多的礼品券，请你帮助分析选择购买哪种品牌的化妆品？并说明理由．
22．（12分）（2015
?营口）如图，我南海某海域A处有一艘捕鱼船在作业时突遇特大风浪，船长马上向我国渔政搜救中心发出求救信号，此时一艘渔政船正巡航到捕鱼船正西方向的B处，该渔政船收到渔政求救中心指令后前去救援，但两船之间有大片暗礁，无法直线到达，于是决定马上调整方向，先向北偏东60°方向以每小时30海里的速度航行半小时到达C处，同时捕鱼船低速航行到A点的正北1.5海里D处，渔政船航行到点C处时测得点D在南偏东53°方向上．
（1）求CD两点的距离；
（2）渔政船决定再次调整航向前去救援，若两船航速不变，并且在点E处相会合，求∠ECD的正弦值．
（参考数据：sin53°≈，cos53°≈，tan53°≈）
23．（12分）（2015?营口）如图，点
P是⊙O外一点，PA切⊙O于点A，AB是⊙O的直径，连接OP，过点B作BC∥OP交⊙O于点C，连接AC交OP于点D．
（1）求证：PC是⊙O的切线；
（2）若PD=，AC=8，求图中阴影部分的面积；
的中点，连接CE，求CE的长． （3）在（2）的条件下，若点E是
篇二：营口市2015年中考数学试题含答案(word版)
2015年初中毕业生毕业升学考试
数学试卷
考试时间：120分钟试卷满分：150分
注意事项：
1．本试卷分第一部分（客观题）和第二部分（主观题）两部分。答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。
2．回答第一部分时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑。如需改动，用橡皮擦干净后，再选涂其它答案标号，写在本试卷上无效。
3．回答第二部分(主观题)时，将答案写在答题卡对应的区域内，写在本试卷上或答题卡指定的区域外无效。
4．考试结束后，将本试卷和答题卡一并交回。
第 一 部 分（客观题）
一、选择题（下列各题的备选答案中，只有一个是正确的，每小题3分，共30分） 1．下列计算正确的是
A．-2?-2B．a2?a3?a6 C．??3
??
?2
1
D?
4．□ABCD中，对角线AC与BD交于点O，∠DAC=42o，∠CBD=23o，则∠COD是 A．61o B．63o C．65o D．67o
A D
O
/元
B C
第4题图 第5题图
5．云南鲁甸发生地震后，某社区开展献爱心活动，社区党员积极向灾区捐款，如图是该社
区部分党员捐款情况的条形统计图，那么本次捐款钱数的众数和中位数分别是 A．100元，100元 B．100元，200元 C．200元，100元 D．200元，200元
2x?m
6．若关于x的分式方程??2有增根，则m的值是
x?33?x
A．m??1B．m?0 C．m?3 D．m?0或m=3
7．将弧长为2πcm、圆心角为120o的扇形围成一个圆锥的侧面，则这个圆锥的高及侧面积分别是
Aπcm2 B．πcm2 C．πcm2D6πcm2
8．如图，△ABE和△CDE是以点E为位似中心的位似图形，已知点A（3，4），点C（2，
，双曲线y1?
1
在第一象限内的图象经过点B，设直线AB的解析式为y2?k2x?b，当x
y1?y2时，x的取值范围是
A．?5?x?1 B．0<x<1或x<?5C．?6?x?1D．0?x?1或x??6
10．如图，点P是∠AOB内任意一点，OP=5cm，点M和点N分别是射线OA和射线OB上的动点，△PMN周长的最小值是5cm，则∠AOB的度数是
A．25? B．???C．35? D．???
第 二 部 分（主观题）
二、填空题（每小题3分，共24分）
11．分解因式：?a2c?b2c．
12．过度包装既浪费资源又污染环境．据测算，如果全国每年减少十分之一的包装纸用量，那么能减少3 120 000吨二氧化碳的排放量．把数据3 120 000用科学记数法表示为 ．
?2x?15x?1
?≤1?
13．不等式组?3的所有正整数解的和为 ． 2
??5x?2?3(x?2)
14．圆内接正六边形的边心距为，则这个正六边形的面积为cm2． 15．如图，正方形内的阴影部分是由四个直角边长都是1和3的直角三角形组成的，假设可
以在正方形内部随意取点，那么这个点取在阴影部分的概率为 ．
16．某服装店购进单价为15元童装若干件，销售一段时间后发现：当销售价为25元时平均
每天能售出8件，而当销售价每降低2元，平均每天能多售出4件．当每件的定价为 元时，该服装店平均每天的销售利润最大．
17．定义：只有一组对角是直角的四边形叫做损矩形，连接它的两个非直角顶点的线段叫做这个损矩形的直径，即损矩形外接圆的直径． ．．．．．．如图，△ABC中，∠ABC=90o，以AC为一边向形外作菱形ACEF，点D是菱形ACEF对角线的交点，连接BD，若∠DBC=60o，∠ACB=15o，BD
=，则菱形ACEF的面积为 ．
18．如图，边长为n的正方形OABC的边OA、OC分别在x轴和y轴的正半轴上，A1、A2、A3、?、An-1为OA的n等分点，B1、B2、B3、?、Bn-1为CB的n等分点，连接A1B1、A2B2、A3B3、?、An-1Bn-1，分别交y?
12
于点C1、C2、C3、?、Cn-1，当B25C25?8C25A25x（x≥0）
n
时，则n= ．
三、解答题（19小题10分，20小题10分，共20分） 19．先化简，再求值：
2m?2?1?
?2??1?2?．其中m
满足一元二次方程m?1m?1?m?2m?1?
m2?o)m?12cos60o?0．
20．雾霾天气严重影响市民的生活质量．在今年寒假期间，某校八年一班的综合实践小组同学对“雾霾天气的主要成因”随机调查了所在城市部分市民，并对调查结果进行了整理，绘制了如下不完整的统计
图表，观察分析并回答下列问题．
⑴本次被调查的市民共有多少人?
⑵分别补全条形统计图和扇形统计图，
并计算图2中区域B所对应的扇形圆
心角的度数．
⑶若该市有100万人口，请估计持有 A、B两组主要成因的市民有多少人？
A45% C 15%
B/组
图2 图1 第20题图 四、解答题（21小题12分，22小题12分，共24分）
21．某化妆品专卖店，为了吸引顾客，在“母亲节”当天举办了甲、乙两种品牌化妆品有奖酬
宾活动，凡购物满88元，均可得到一次摇奖的机会．已知在摇奖机内装有2个红球和2个白球，除颜色外其它都相同，摇奖者必须从摇奖机中一次连续摇出两个球，根据球的颜
（1（2）如果一个顾客当天在本店购物满88元，若只考虑获得最多的礼品卷，请你帮助分析选择购买哪种品牌的化妆品？并说明理由．
22．如图，我南海某海域A处有一艘捕鱼船在作业时突遇特大风浪，船长马上向我国渔政搜救中心发出求救信号，此时一艘渔政船正巡航到捕鱼船正西方向的B处，该渔政船收到渔政求救中心指令后前去救援，但两船之间有大片暗礁，无法直线到达，于是决定马上调整方向，先向北偏东60 o方向以每小时30海里的速度航行半小时到达C处，同时捕鱼船低速航行到A点的正北1.5海里D处，渔政船航行到点C处时测得点D在南偏东53 o方向上．
(1)求CD两点的距离；
(2)渔政船决定再次调整航向前去救援，若两船航速不变，并且在点E处相会合，求∠ECD的正弦值． (参考数据：sin53??
434
，cos53??，tan53??) 553
第22题图
五、解答题（23小题12分，24小题12分，共24分） 23．如图，点P是⊙O 外一点，PA切⊙O于点A，AB
是⊙O的直径，连接OP，过点B作BC∥OP交⊙O于点C，连接AC交OP于点D． (1)求证：PC是⊙O的切线； (2)若PD=
16
cm，AC=8cm，求图中阴影部分的面积； 3
(3)在(2)的条件下，若点E是AB的中点，连接CE，求CE的长．
O
A B
C
P
第23题图
24．某粮油超市平时每天都将一定数量的某些品种的粮食进行包装以便出售，已知每天包装大黄米的质量是包装江米质量的
︵
5
倍，且每天包装大黄米和江米的质量之和为45千克． 4
(1)求平均每天包装大黄米和江米的质量各是多少千克? (2)为迎接今年6月20日的“端午节”，该超市决定在节日前20天增加每天包装大黄米和江米的质量，二者的包装质量与天数的变化情况如图所示，节日后又恢复到原来每天的包装质量．分别求出在这20天内每天包装大黄米和江米的质量随天数变化的函数关系式，并写出自变量的取值范围．
(3)假设该超市每天都会将当天包装后的大黄米和江米全部出售，已知大黄米成本价为每千克7.9元，江米成本价为每千克9.5元，二者包装费用平均每千克均为0.5元，大黄米售价为每千克10元，江米售价为每千克12元，那么在这20天中有哪几天销售大黄米和江米的利润之和大于120元? [总利润=售价额－成本－包装费用]
第24题图
篇三：2015辽宁营口中考英语试题
2015年初中毕业生毕业升学考试
英语试卷
考试时间：120分钟，试卷满分：150分
注意事项：
1. 本试卷分第一部分（客观题）和第二部分（主观题）两部分。答卷前，考生务必将自己
的姓名、准考证号填写在答题卡上。
2. 回答第一部分（客观题）时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标
号涂黑。如需改动，用橡皮擦干净后，再选涂其他答案标号，写在本试卷上无效。
3. 回答第二部分（主观题）时，将答案写在答题卡对应的区域内，写在本试卷上或答题卡
指定区域外无效。
4. 考试结束后，将本试卷和答题卡一并交回。
第一部分（客观性试题：55分）
Ⅰ. 单项选择（共20分，每小题1分）
从各题的四个选项中选出一个最佳答案。
1. – How was ______ dinner at Mike’s house?
– It was great. Mike is ______ wonderful cook.
A. a; the B. the; a C. the; theD. /; a
2. Tom will be able to find the hotel, he has a pretty good ______ of direction.
A. idea B. feelingC. experience D. sense
3. – MERS(中东呼吸综合征) is a terrible disease(疾病). What should we do?
– Don’t be nervous. Scientists are trying their best to _______ ways to treat it．
A. find out B. look forward toC. talk aboutD. set up
4. Father’s Day is on the _______ Sunday in June. It’s on June 21st this year.
A. first B. secondC. third D. fourth
5. The world’s population is growing ______ and there is _______ land and water for growing
rice. A. more; less B. larger; fewerC. larger; lessD. more; fewer
6. – Do you know Lily and Lucy?
– Yes, but the twins look so similar that I always mistake the one for ______.
A. the other B. the others C. anotherD. other
7. Maria is leaving for France soon by air. She will arrive ______ Paris ______ the morning of
August 8th.
A. at; in B. in; on C. in; in D. at; on
8. ______ the teachers in the school is one hundred, and ______ of them are women teachers.
A. A number of; four fifth B. The number of; four fifth
C. A number of; four fifths D. The number of; four fifths
9. – The winner of the race is a tall and thin boy with glasses.
– Then it ______ be my friend, Mike, who looks very fat.
A. might B. can’tC. could D. must
10. I really enjoyed your speech, ______ there were some parts I didn’t quite understand.
A. becauseB. unless C. thoughD. after
11. – Our teacher with us often ______ games after class.
– Your teacher is so nice!
A. play B. playedC. is playingD. plays
12. Which sign can you probably see by the river?
A. B.C.
13. – Lisa, why are you still here? School is over.
– I ______ my classroom yet, I need fifteen more minutes.
A. don’t clean
B. haven’t
cleaned
C. didn’t clean D. won’t clean
14. ______ exciting news! We will have a long holiday after the exam.
A. What anB. How an C. What D. How
15. – Tommy, do you know if Frank ______ to the theatre with us this Sunday if the weather
______.
– Sorry, I have no idea.
A. will go; is fineB. goes; is fine C. will go; will be fineD. goes; will be fine
16. – Are these your cards?
– No, ______ are over there. I like ______ very much.
A. my; them B. mine; they C. mine; them D. my; they
17. – Do you like listening to Zhang Jie’s songs ______ are very loud and full of energy?
– Of course! I’m his fan.
A. who B. what C. whichD. whose
18. – Excuse me. Could you tell me ______ there?
– Sure. D.
A. when the first bus will arrive at B. when would the first bus arrive
C. when the first bus arrived atD. when the first bus arrives
19. – Bob, ______ is it from your home to school?
– It’s about ten minutes’ walk.
A. how long B. how farC. how often D. how soon
20. – Would you please help me to take the clothes downstairs, Tom?
– ______.
A. Never mind B. No problem C. That’s rightD. Let’s go
II. 完形填空 (共15分，每小题1分)
根据短文内容，从A、B、C、D四个选项中选择一个最佳答案。
Some students cheat(作弊) because they’re busy or lazy and they want to get good grades
the time studying. Other students might feel that they can’tcheating. Even there seems to be a ―good reason‖ for A student who thinks cheating is the only way to pass a test to talk with the
teacher and his or her parents so they can find some better ways together. Talking about these
problems and them out is much more helpful than cheating.
If a student gets cheating, the teacher may give a ― on the test, send him or her to the head _______ grades may be the feeling of having disappointed those people, parents and teachers. A 29
parent may worry that you are not a(n) person and a teacher might watch you more the next time you’re taking a test.
There are plenty of reasons why a kid shouldn’t cheat, but some students do cheat. If that’s you, it’s too late to stop cheating. Cheating can become a , but a student is always able to act and make better decisions. It might help to talk the problem over with a parent, teacher, or friend.
21. A. takingB. spendingC. costing D. using
22. A. fail B. exercise C. passD. expect
23. A. whileB. whenC. because D. until
24. A. decides B. hopes C. refusesD. needs
25. A. breakingB. dreamingC. missingD. working
26. A. caught B. offeredC. appearedD. suggested
27. A. prize B. result C. zero D. treat
28. A. teacherB. teachersC. teacher’s D. teachers’
29. A. natural B. dangerous C. worried D. bad
30. A. except B. besidesC. likeD. among
31. A. commonB. calmC. polite D. honest
32. A. closely B. bravely C. certainlyD. hardly
33. A. always B. neverC. onceD. often 34. A. menu B. medicineC. habitD. match
35. A. well B. goodC. best D. better
III．阅读理解（共20分，每小题1分）
根据短文内容，从A、B、C、D四个选项中选择一个最佳答案。
Passage 1
Mrs Black’s shopping list
□ Arnold Brick Oven Bread — 2 bags
□ A&W Root Beer — 2 bottles
□ Aunt Jemima Paper Bag — 5 pieces
□ Annie’s Milk — 4 boxes
□ Hunt’s Noodle Sauce — 1 bottle
□ Heinz Ketchup(番茄酱) — 1 bottle
□ Betty Crocker Olive Oil — 1 bottle
□ Ritz Bits Peanut Butter — 4 pieces
□ Apples, Lemons & Strawberries — 1 kilo each
□ Marcal Family Toilet Paper — 4 packs
NAME: Mary Black
TEL: 781-6605
36. According to Mrs Black’s shopping list, she doesn’t plan to buy_________.
A. butter B. beer C. vegetables D. bread
37. Which brand(品牌) will Mrs Black choose for her ketchup?
A. Annie’sB. Arnold BrickC. Ritz BitsD. Heinz
38. We can tell from the list that Mrs Black wants to buy _________ kilos of fruits.
A. 4 B. 3 C. 2D. 1
39. What’s Mrs Black’s phone number?
A. 781-6560B. 718-6605C. 781-6605D. 871-6065
40. Mrs Black goes shopping for________.
A. Thanksgiving B. Christmas C. her birthday D. Halloween
Passage 2
What’s My Line (台词)?
―One of my actors is sick! He has just one line and you’re the only one who fits his clothes!‖ One afternoon, the school
drama(戏剧) director suddenly shouted to me. She seemed so
nervous and worried that I felt sorry for her and said, ―OK‖.
―You will be fine. It’s easy!‖ she said. But it wasn’t easy at all. On the stage(舞台), four other actors and actresses spoke their lines, and I opened my mouth. Nothing came out. I couldn’t even breathe. I just wanted to leave. The next thing I knew, I was running off the stage.
As I was running off the stage, I accidentally knocked over a glass of grape juice that was on a table. The purple juice hit the girl next to me – Andrea, the leading actress of the drama. She he was going to kill me!
But then, Andrea quickly said, ―Darling, you’re so silly! Let's toast(干杯) to my darling’s silliness! Cheers!‖ She quickly took another glass of grape juice and drank it. The other actors quickly followed Andrea’s lead and saved the scene(场面). The audience(观众) thought my mistake was part of the play!
I said sorry to everyone after the play. To my surprise, they were not angry with me. They told me, ―It’s all a part of being on stage.‖ I could be wrong, but I think I liked being on stage. I think I will try again.
41. Which of the following was a problem in the story?
A. Andrea drank the grape juice.
B. Andrea was the leading actress of the drama.
C. The writer forgot his line.
D. The writer had only one line.
42.Which of the following is NOT true?
A. The writer made Andrea’s dress dirty.
B. The audience knew something was wrong.
C. The school drama director asked the writer to play a role.
D. The writer said sorry to the drama club. .
A. sad B. afraid C. angryD. hungry
44. From the passage, we know that Andrea was a leading actress.
A. pretty B. sillyC. warm-heartedD. quick-minded
45. The writer will most probably in the future.
A. join the drama clubB. dislike Andrea
C. stay away from the stage D. help Andrea wash her clothes
Passage 3
A deadly heat wave(热浪) has happened in parts of India this year. Temperatures in parts of
the country during the past few days have hit 48 oC in some areas. Over 1,100 people have been dead.
Very hot weather is common in many parts of the world. Although hot weather just makes most people hot, it can cause medical problems and death.
Floods, storms and other terrible natural events(事件) kill thousands of people every year. And we hear much about them in news reports. We hear little about heat, which experts(专家) say may be nature’s most dangerous killer.
Health experts say that since the year 1900, very hot weather has killed more people in the United States than any other natural event. One year – the unusual hot summer of 1980 heat caused about 1,700 deaths in the United States. In 1995, more than 600 people died in another heat wave in one city – Chicago, Illinois.
Besides drinking lots of cool water, doctors say there are some other things to do to protect against the health dangers of heat. Stay out of the sun, if possible. Wear loose and light-colored clothes. Wear a hat while in the sun. Eat fewer hot and heavy foods. And when possible, cook foods during cooler time of the day. If possible, rest more often.
Health experts say these simple steps can stop the dangerous health problems caused by heat. They will stop sickness, help you feel better and may even save your life.
46. Hot weather is common
A. all over the world B. in many parts of the world
C. in some parts of the world D. in some countries
47. Experts say maybe is nature’s most dangerous killer.
A. heat B. a flood C. a stormD. an earthquake
48. About 1,700 people died of heat in the US .
A. in 1900 B. in 1980 C. in 1995 D. in 1980 and 1995
49. According to the passage, there are steps which are mentioned to stop the dangerous health problems caused by heat.
A. six B. seven C. eight D. nine
50. The passage is talking about A. all kinds of terrible natural events in the world
B. some health problems caused by hot weather
C. how to stop health problems
D. the health problems in hot weather and the ways to stop them
Passage 4
There are many useful inventions in the world.
Have you ever wished to have an umbrella that makes your hands free? Alan Kaufman has thought up the ―Nubrella‖, which means ―new‖+ ―umbrella‖. It is the first truly hands-free umbrella in the world. The inventor says that it stops rain，wind and snow and can keep your head, face and hair dry．
―I never planned to invent a product. I just noticed a problem and thought up a solution,‖ said the inventor．The idea for the invention began on one rainy day. Mr Kaufman was standing in one of his stores. He began to look at people’s umbrellas. He found that they had to try very hard to keep their umbrellas in the right place. At that moment an idea came into his mind. He ran to his desk and drew a picture. In this way, the Nubrella was born．
One cool feature of the Nubrella is that you don’t hold it like a usual umbrella, you wear it. The shoulder straps(肩带) of the Nubrella allow people to be fully hands-free, so when walking in
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