2 小明和小红一起参加学校的运动会.小明参加了跑步和跳远项目,小红参加了跳绳和跳高项目.已知:小明在跑步中得了$x$分,在跳远中得了$y$分.小红在跳绳中得了$2x$分,在跳高中得了$y + 5$分.两人的总分不超过100分.
(1) 列出表示两人总分的不等式.
(2) 如果小明在跑步中得了20分,小红在跳绳中得了多少分?
(3) 如果小红在跳高中得了15分,求小明跑步的得分范围.
(1) 列出表示两人总分的不等式.
(2) 如果小明在跑步中得了20分,小红在跳绳中得了多少分?
(3) 如果小红在跳高中得了15分,求小明跑步的得分范围.
答案
(1) 两人总分的不等式为
$x + y + 2x + (y + 5) ≤ 100$
即 $3x + 2y ≤ 95$
(2) 小明跑步得20分,即$x = 20$,因此$2x = 40$
即小红跳绳得40分。
(3) 小红跳高得15分,即$y + 5 = 15$,所以$y = 10$
因为$3x + 2y ≤ 95$,
有$3x + 2 × 10 ≤ 95$
即$x ≤ 25$
所以,小明跑步得分范围为$0 < x ≤ 25$。
$x + y + 2x + (y + 5) ≤ 100$
即 $3x + 2y ≤ 95$
(2) 小明跑步得20分,即$x = 20$,因此$2x = 40$
即小红跳绳得40分。
(3) 小红跳高得15分,即$y + 5 = 15$,所以$y = 10$
因为$3x + 2y ≤ 95$,
有$3x + 2 × 10 ≤ 95$
即$x ≤ 25$
所以,小明跑步得分范围为$0 < x ≤ 25$。
1 Choose the best answer.(选择最恰当的答案)
() (1) It's important for boys and girls to respect one another when they get along with .
A. another B. each other C. themselves D. both A and B
() (2) We should keep a proper distance when we communicate with sex.
A. the opposite B. other C. others D. another
() (3) Boys and girls can better by understanding and communicating more.
A. get in B. get off C. get up D. get on
() (1) It's important for boys and girls to respect one another when they get along with .
A. another B. each other C. themselves D. both A and B
() (2) We should keep a proper distance when we communicate with sex.
A. the opposite B. other C. others D. another
() (3) Boys and girls can better by understanding and communicating more.
A. get in B. get off C. get up D. get on
答案
(1) B
(2) A
(3) D
(2) A
(3) D
2 Complete the sentences with the given words in their proper forms.(用括号中所给单词的适当形式完成下列句子)
(1) When boys and girls play together, they should learn to be
(2)
(3) Boys and girls enjoy
(1) When boys and girls play together, they should learn to be
respectful
(respect) of other's differences.(2)
Building
(build) good relationships with the opposite sex needs honesty and respect.(3) Boys and girls enjoy
themselves
(they) when they are having a party together.答案
(1) respectful
(2) Building
(3) themselves
(2) Building
(3) themselves
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