（2013•渭源县模拟）菱形OABC在平面直角坐标系中的位置如图所示，∠AOC=45°，OC=22，则点B的坐标为（22

解题思路：（1）将这8个数据按照从小到大或从大到小的顺序排列，数据个数是8为偶数，则中间两个数据的平均数是这组数据的中位数；
（2）这8个数据中出现次数最多的数是88，则88就是这组数据的众数．据此进行解答．

（1）将数据按照从小到大的顺序排列为：
88，88，88，94，94，98，107，116，
中位数为：（94+94）÷2=94；
（2）数据中出现次数最多的数是88，88就是这组数据的众数，
故答案为：94，88．

点评：
本题考点： 中位数的意义及求解方法；众数的意义及求解方法．

考点点评： 此题考查一组数据的中位数和众数的意义和求解方法，中位数：将数据按照大小顺序排列，如果数据个数是奇数，则处于最中间位置的数就是这组数据的中位数，如果数据个数是偶数，则中间两个数据的平均数是这组数据的中位数；众数：一组数据中出现次数最多的那个数．

解题思路：因为按奶粉与水的比1：4配制成一杯牛奶后，喝掉一半后，即奶的浓度不变，所以剩下的牛奶中奶粉与水的比不变；进而解答即可．

杯牛奶，牛奶与水的比是1：4，喝掉一半后，牛奶与水的比是1：4；
故选：A．

点评：
本题考点： 比的意义．

考点点评： 解答此题应明确：因为配制成牛奶后，没加水，也没加奶粉，牛奶的浓度不变．

解题思路：根据“六年级男女生的比是5：4，”知道六年级男生是总人数的[5/5+4]，由此用除法列式即可求出六年级的总人数．

80÷
5
4+5，
=80×[9/5]，
=144（人），
答：六年级一共有144人．

点评：
本题考点： 比的应用．

考点点评： 关键是把比转化为分数，找出80对应的分数，用除法列式解答．

翻越过三座盘山公路,我们终于来到的家——渭源县麻家集镇宗丹村.一路走来,我最大的感受是山路的崎岖不平与艰险,而后来得知从麻家集镇要步行40分钟山路才能到她家,更是感慨她创业的不易.
Had crossed over the Wei Yuan County hemp family town Zongdan village that Pan Shan county highway , we finally three arrive in. My maximal feel is ghat bump and hardships and dangers come the single file being leaked, come to be informed that the town needs to go on foot 40 minutes from hemp home later ghat ability arrives her home , is furthermore no easy to sigh with emotion that she starts an undertaking.
由于土壤、气候等因素影响,当地特别适合种植马铃薯、小麦等耐旱作物.2004年以前,家也是以种植小麦为主,并有少量马铃薯.小麦产量低而且价格不高,导致他们每年纯收入总在1000元左右徘徊,最高年收入未超过3000元.一家4口人靠这点微薄收入艰难度日,甚至需要借钱供家里2个孩子读书.
Since factor effect such as soil , the climate , the local are fit to cultivate potato , wheat etc. specially be able to bear the dry crop. The family is also to give first place to cultivating a wheat in 2004 previously, has and a few potatoes. Wheat output is low and price is not high, lead to their always linger at 1000 yuan or so , maximal net income yearly income every year not have exceeded 3000 yuan. One 4 mouthful of person depends on this meagre invisible income difficult make a living , need to borrow money to be for 2 home children's reading a book even.
2004年,渭源县LPAC办公室将宗丹村列为项目村,因为丈夫是村上的文书,平时与信贷员接触较多,成为第一批客户,当年一共贷款1000元.经过他人介绍和自己多方调查,选定种植当归作为自己的创业起点,当年将贷款全部用来购买当归苗.在自家拥有的6亩地种有2亩当归,并种植1亩马铃薯、3亩小麦.当年即实现年收入过万,纯收入更是达到8000元.
Wei Yuan County LPAC office lists Zongdan village as the project village in 2004, getting in touch with credit in the ordinary time is basicer than became the first batches of customer more than normal, provided a loan of 1000 altogether in that very year because of the husband is upper rapporteur of village. Self inquires into the sum course others is introduced in many ways , selected starting point cultivating Chinese angelica starting an undertaking as self, general that very year provides a loan of all Yong Lai purchase the Chinese angelica seedling. There is 2 mus of Chinese angelica in distance of 6 mus owning in oneself kind , cultivate and 1 mu of potato , 3 mus of wheat. Were ten thousand in that very year had realized a yearly income, the net income is to reach 8000 yuan more.
尝到甜头以后,2005年开始承包别人土地,承包2亩地使种植面积增大到8亩.正是从2005年开始,她尝试收购别人家的当归,逐步扩大经营规模.此后,她的种植规模就像她的贷款金额一样逐轮上涨、成倍增长,从2006年的10亩一直到2009年的16亩.虽然自家的当归种植面积保持3亩在左右,但当归收购量逐年增长,年收入也随之稳步增加.为更方便销售自己的产品,2008年她在会川镇租了一间门面卖药材,并有2间库房专门存放药材.这种销售方式彻底改变了单一依靠别人上门采购当归,她也能直接将自己的当归切片推向市场.
Coming to know the goodness beginning to contract others's land contract, distance of 2 mus in the hereafter , in 2005 makes cultivated area enhance to 8 mus. Exactly be that she attempts to buy others's Chinese angelica from beginning in 2005, expand the scale of managing step by step. Henceforth, to cultivate scale going up right away one by one wheel looking like her loan amount of money , to be doubled and redoubled, from 2006 10 mu of her one until 16 mu of 2009. Buy amounts in retinue, but Chinese angelica though oneself Chinese angelica cultivated area keeps 3 mus increase by year by year, the yearly income increases by steadily also with that. Be to sell self product more conveniently, she has rented one appearance selling medicinal material, has had 2 storehouses to store medicinal material specially together in meeting river town in 2008. This the other people who sells way having changed unitary support completely drops in to purchase Chinese angelica , the Chinese angelica section that she can't can direct with self pushes to the marketplace.
如果说致富需要辛勤劳作和聪明才智,的经历恰恰能验证这句话.她不仅努力搞好当归种植,同时也在不断摸索、总结种植规律和市场价格波动.谈话中,她说1亩地一般能产出900斤湿当归,而经过晾晒等多道程序后,能够收获300斤左右当归成品.药材市场价格波动比较剧烈,她发现当归基本是3年一轮价格周期,近几年最高能达到80元/公斤,最低至8元/公斤,并且秧苗价格与当归成品价格存在正相关关系.
If setting out on a road to prosperity require that industrious work and the self's ability and cleverness, go through can verify this words exactly. She makes great efforts to do well in Chinese angelica not only cultivate , sum up at the same time also in trial-and-error, the fluctuation cultivating law and market price. She can output 900 jin of wet Chinese angelica in the conversation, like saying distance of 1 mu , air but through wait to be able to gain 300 jin of retinue Chinese angelica finished products after multiple procedure. Medicinal material marketplace fluctuations in prices is comparatively acute , that she discovers Chinese angelica basic is one wheel of price period for 3 years , the high energy reaches 80 yuan most over the past few years/ rice seedling price and the Chinese angelica finished product there exist a minimum in price kilogram, kilogram, moreover till 8 yuan/ being looking at and appraising relation.
当注意到市场上需要初加工的当归切片时,她于2007年投入2500元购买机器加工当归,以更高的价格出售切片产品.为了保证每年收入稳定增加,从2007年开始她加大了植马铃薯力度,马铃薯一亩地能收入1000/年.越来越清晰的种植思路已经在她脑中形成,预期当归价格高的年份,她就多种植当归,否则就以种植马铃薯为主.
While paying attention to arriving at the Chinese angelica section needing preliminary working on the marketplace, she throws into Chinese angelica buying machine treating 2500 yuan on 2007, sell the section product with higher price. Increase by for ensuring that invisible income every year is stable, she has enlarged by dynamics from beginning in 2007 planting a potato, potato distance of one mu can take in 1000/ years. More and more limpid cultivate a train of thought already taking form in her brain, age anticipating that Chinese angelica price is high, she cultivates Chinese angelica much , give first place to cultivating a potato otherwise right away.
这样可以吗

解题思路：（1）根据等式的性质，在方程两边同时减去0.8，再乘[5/3]求解，
（2）先根据比例的基本性质，把原式转化为x=1.4×0.75，再化简求解，
（3）根据等式的性质，在方程两边同时减1，再除以0.25求解．

（1）[3/5]X+0.8=5.6，
[3/5]X+0.8-0.8=5.6-0.8，
[3/5]X×[5/3]=4.8×[5/3]，
X=8；

（2）1.4：x=1：0.75，
x=1.4×0.75，
x=1.05；

（3）1+25%x=3，
1+25%x-1=3-1，
0.25x÷0.25=2÷0.25，
x=8．

点评：
本题考点： 方程的解和解方程；解比例．

考点点评： 本题考查了学生根据等式的性质和比例的基本性质解方程的能力，注意等号对齐．

解题思路：首先根据题意可得分式方程：[1/x+1]-1=1，然后解此分式方程即可求得答案．

∵a×b=[1/b−
1
a]，1×（x+1）=1，
即[1/x+1]-1=1，
方程的两边同乘（x+1），得：1=2（x+1），
解得x=-[1/2]．
检验：把x=-[1/2]代入（x+1）=[1/2]≠0．
∴原方程的解为：x=-[1/2]．
故答案为：-[1/2]．

点评：
本题考点： 解分式方程．

考点点评： 此题考查了分式方程的应用．此题属于新定义题目，难度不大，注意分式方程需检验．

解题思路：（1）求这个蓄水池占地多少平方米，就是求这个水池的底面积，根据圆的面积公式直接求解；
（2）如果把这个蓄水池注满水，水的体积是求出这个圆柱的容积，先求出水的体积，再求出这些水的重量然后与5吨比较即可．

（1）2÷2=1（米）；
3.14×1²=3.14（平方米）；
（2）3.14×1.5=4.71（立方米）；
4.71×1=4.71（吨）；
4.71＜5；
答：这个蓄水池占地3.14平方米，它不能蓄满5吨水．

点评：
本题考点： 关于圆柱的应用题．

考点点评： 解答此题主要分清所求物体的形状，转化为求有关图形的体积或面积的问题，把实际问题转化为数学问题，再运用数学知识解决．