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24.解:(1)由题意,得:解得················································ (2分)

       ∴····················································································· (3分)

(2)

   ∴··················································································· (5分)

    时,有最大值为6.6. ····························· (7分)

(吨).

答:甲、乙两种水果的进货量分别为4吨和6吨时,获得的销售利润之和最大,最大利润是6.6万元. ························································································································ (8分)

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23.解:分别过则四边形为矩形.

中,

·············································································································· (3分)

中,············································ (6分)

············································· (7分)

答:水深约为6.7米.·································································································· (8分)

(其它解法可参照给分)

试题详情

22.解:(1)10,50;········································································································ (2分)

    (2)解:解法一(树状图):

··········································································································································· (6分)

从上图可以看出,共有12种可能结果,其中大于或等于30元共有8种可能结果,因此(不低于30元)=····························································································································· (8分)

解法二(列表法):

第一次
第二次
0
10
20
30
0
 
10
20
30
10
10
 
30
40
20
20
30
 
50
30
30
40
50
 

····························································································································· (6分)

(以下过程同“解法一”)····················································································· (8分)

试题详情

21.(1)935.7,859.0;······································································································ (4分)

  (2)解:2004~2008移动电话年末用户逐年递增.

      2008年末固定电话用户达803.0万户.······················································· (8分)

      (注:答案不唯一,只要符合数据特征即可得分)

试题详情

20.解:(1);·········································································································· (2分)

(2)答案不唯一,以下提供三种图案.

 

(注:如果花边图案中四个图案均与基本图案相同,则本小题只给2分;未画满四个“田”字格的,每缺1个扣1分.)

试题详情

19.(1)解:原式= ·································································· (2分)

        =······································································· (3分)

        =.······························································································· (4分)

(2)解:原式=············································································ (2分)

       =·························································································· (3分)

       =1.·········································································································· (4分)

(3)解:移项,得配方,得····················································· (2分)

      ∴  ·································································· (4分)

      (注:此题还可用公式法,分解因式法求解,请参照给分)

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6.210    7.(9,0)    8.8    9.    10.

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1.>    2.    3.答案不唯一,如    4.    5.30

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26. 本题属于大综合题目,主要考查的知识点有一次函数、二次函数、方程组与平移、三角形的面积、三角形的相似等知识点.解决本题的关键是理顺各知识点间的关系,还要善于分解,化整为零,各个击破.

2009年山西省初中毕业学业考试试卷

数  学

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26.(本题14分)如图,已知直线与直线相交于点分别交轴于两点.矩形的顶点分别在直线上,顶点都在轴上,且点与点重合.

   (1)求的面积;

(2)求矩形的边的长;

(3)若矩形从原点出发,沿轴的反方向以每秒1个单位长度的速度平移,设移动时间为秒,矩形重叠部分的面积为,求关于的函数关系式,并写出相应的的取值范围.

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