题目列表(包括答案和解析)

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71. 解:原式················································································ 2分

·········································································································· 4分

···························································································································· 5分

选取除0与1以外的任何值,求代数式的值   6分

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70. (1)设乙工程队单独完成建校工程需天,则甲工程队单独完成建校工程需,依题意得:

.·········································································································· 3分

解得,经检验是原方程的解,

所以甲需180天,乙需120天;····················································································· 4分

(2)甲工程队需总费用为(万元),····························· 5分

设乙工程队施工时平均每天的费用为,则,···················· 7分

解得

所以乙工程队施工时平均每天的费用最多为万元.   8分

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69. (1)2000

 (2)设该公司原计划安排x名工人生产帐篷,则由题意得:

  

  ∴

∴解这个方程,得:x=750

经检验:x=750是所列方程的解

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68. 解:原式            

当x=-4时,原式=     

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67. 解:原式=

取a=2,原式=2008.(取a=3,原式=1004)

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65. 提示:

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64. 解法一:设第二次捐款人数为x人,则第一次捐款人数为(x-50)人.由题意,得

解得,x=200,经检验x=200是原方程的根.

答:第二次捐款人数为200人.

解法二:人均捐款额为(12000-9000)÷50=60(元)

第二次捐款人数为12000÷60=200(人)

答:第二次捐款人数为200人.

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63. 解: 方法一: 原式=          

                    

(注:分步给分,化简正确给5分.)

方法二:原式=

           

               

a=1,得                                 

原式=5                                    

(注:答案不唯一.如果求值这一步,取a=2或-2,则不给分.)

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62. 解:设抢修车的速度为千米/时,则吉普车的速度为千米/时.

   由题意得,

       .

   解得,.

  经检验,是原方程的解,并且都符合题意.

  答:抢修车的的速度为20千米/时,吉普车的速度为30千米/时.

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