学进去-教育应平等而普惠
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已知一次函数的图象与x轴、y轴分别交于点AB,点P从点A出发,沿x轴以每秒1个单位长度的速度向左运动,设运动时间为t(s).

(1)当t为何值时,为直角三角形?
(2)当t为何值时,为等腰三角形?
类型:解答题
难度系数:较难0.4
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某公交公司有一栋4层的立体停车场,第一层供车辆进出使用,第二至四层停车.每层的层高为6m,横向排列30个车位,每个车位宽为3m,各车位有相应号码,如:201表示二层第1个车位.第二至四层每层各有一个升降台,分别在211,316,421,为便于升降台垂直升降,升降台正下方各层对应的车位都留空.每个升降台前方有可在轨道上滑行的转运板(以第三层为例,如图所示).该系统取车的工作流程如下(以取停在311的车子为例);
① 转运板接收指令,从升降台316前空载滑行至311前;
② 转运板进311,托起车,载车出311;
③ 转运板载车滑行至316前;
④ 转运板进316,放车,空载出316,停在316前;
⑤ 升降台垂直送车至一层,系统完成取车.

停车位

301

停车位

311

升降台

316

留空

321

停车位

330

转运板滑行区                                                 转运板滑行区

如图停车场第三层平面示意图,升降台升与降的速度相同,转运板空载时的滑行速度为1m/s,载车时的滑行速度是升降台升降速度的2倍.
(1)若第四层升降台送车下降的同时,转运板接收指令从421前往401取车,升降台回到第四层40s后转运板恰好载着401的车滑行至升降台前,求转运板载车时的滑行速度;
(说明:送至一层的车驶离升降台的时间、转运板进出车位所用的时间均忽略不计)
(2)在(1)的条件下,若该系统显示目前第三层没有车辆停放,现该系统将某辆车随机停放在第三层的停车位上,取该车时,升降台已在316待命,求系统按上述工作流程在1分钟内完成取该车的概率.
类型:解答题
难度系数:较难0.4
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如图,四边形内接于半径为6的,连E,若E的中点,且,则四边形的面积是(       
   
A.B.C.D.
类型:单选题
难度系数:较难0.4
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如图,在平面直角坐标系中,反比例函数是常数)在第一象限部分的图像与矩形的两边分别交于两点,将沿翻折得到的延长线恰好经过点.若,则的值是______
   
类型:填空题
难度系数:较难0.4
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2012个数排成一行,其中每相邻的三个数中,中间的数等于它前后两数的和,若第一个数和第二个数都是1,则这2012个数的和等于     
A.-1B.0C.2D.2012
类型:单选题
难度系数:较难0.4
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我国宋朝数学家杨辉在他的著作详解九章算法中提出“杨辉三角”如图,此图揭示了为非负整数展开式的项数及各项系数的有关规律.

例如:,它只有一项,系数为1;系数和为1;
,它有两项,系数分别为1,1,系数和为2;
,它有三项,系数分别为1,2,1,系数和为4;
,它有四项,系数分别为1,3,3,1,系数和为8;

的展开式共有______项,系数和为______
类型:填空题
难度系数:较难0.4
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根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。

Look! A girl is cycling quickly, then jumping off her bike, and running towards the front door. 1. Her mother says with a long face, “Grace, you’re late again.” What has happened? Read more.

Grace is the main character in the book Grace and the Double Life. She is a schoolgirl. 2. Why? Because she goes to practice with her band—the Garage Girls. She teams up with two girls, Zadie and Holly, and they want to perform on a TV talent show. Grace plays the bass guitar (电低音吉他) and is also the singer of the band. She is fantastic. 3. This is because her mother, Harriet, is very strict. She wants Grace to play the piano, while Grace wants to be a rock star.

After many weeks, Grace and her teammates luckily get a chance to audition (试镜) for the TV show. How exciting! But here comes the bad news; the piano exam is held on the same day as the audition. 4. Her mother gets very angry...

Grace and the Double Life is really a great book. The story of Grace and her friends may remind us of little things that sometimes happen in our daily lives. 5. You must be curious (好奇的) about what Grace’s mother will do and whether Grace will have a happy ending. Read the book and find the answers yourself.

A.But she keeps it a secret from her parents.
B.When she is trying to find the key, the door opens.
C.It also gets us thinking about what we would do if we faced some of the same situations as Grace.
D.She will have a piano exam in a couple of weeks, but she is late for her piano lesson again.
E.At the same time, she doesn’t know her mother has discovered (发现) her secret by accident (偶然).
类型:阅读理解
难度系数:较难0.4
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阅读表达。阅读下面的短文, 并根据文章后的要求答题 (请注意问题后的词数要求)。

On May 15, 2023, a 16-year-old girl from Changsha, Hunan Province made new history. Xu Zhuoyuan became the youngest Chinese girl to succeed in reaching the top of Mount Qomolangma. What makes it more meaningful is that the year 2023 marks the 70th anniversary (周年) of the first human being achieving the impossible dream.

Mountain climbing is one of the world’ s most dangerous sports, and one of the most popular places for this is Mount Qomolangma. It is about 8,848.86 meters 4①________ and so it is very dangerous to climb. 4②________ clouds, heavy storms and freezing weather conditions make the climbing more difficult. However, these difficulties didn’t scare Xu away. She wanted to challenge herself. She has been training hard to make her dream come true.

On April 15, she left Changsha for Nepal (尼泊尔). On April 28, she arrived at the base camp and made preparations for the huge task. At 10 p.m. Beijing time on May 14, Xu began her journey from Camp 4. The climbing was very hard, and it took her 10 hours to reach the top.

The girl’s love for climbing comes from her father Xu Jianglei. Xu Jianglei is the first man from Hunan to get to the top of Mount Qomolangma. Although she is quite young, Xu has already 4③________ five mountains over 5,000 meters in China. When she was 12 years old, she said on Hunan TV, “I will climb Qomolangma.” Four years later, she kept her promise. 5 Her spirit shows us that we should challenge ourselves in the face of difficulties. It also shows that we should never give up trying to achieve our dreams.



1.When did Xu reach the top of Mount Qomolangma? (no more than 5 words)
_______________________________________________________________________________________________
2.What is one of the world’s most dangerous sports according to the text? (no more than 15 words)
_______________________________________________________________________________________________
3.How long did it take Xu to reach the top from Camp 4? (no more than 15 words)
_______________________________________________________________________________________________
4.Fill in each blank in the passage with a proper word.
________________   ________________   ________________
5.Translate the underlined sentence into Chinese.
_______________________________________________________________________________________________
6.What can we learn from Xu? (no more than 20 words)
_______________________________________________________________________________________________
类型:任务型阅读
难度系数:较难0.4
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通过冒泡排序的算法,我们得到12-348-55个数第2轮排序后的结果为(        )
A.-348-512B.-34-5812
C.-3-54812D.-5-34812
类型:选择题
难度系数:较难0.4
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图中“>>>”是(        ),输入相应的命令即可执行程序。
   
A.比较运算符B.命令提示符C.逻辑运算符D.算术运算符
类型:选择题
难度系数:较难0.4
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