题目列表(包括答案和解析)
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
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
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
68. 解:原式
当x=-4时,原式=
67. 解:原式=![]()
取a=2,原式=2008.(取a=3,原式=1004)
66. ![]()
65. 提示: ![]()
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.
63. 解: 方法一: 原式=
=![]()
=
(注:分步给分,化简正确给5分.)
方法二:原式=![]()
=
=
取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.)
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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