某学生在记录一周内每天的温度变化时,发现某天的气温比前一天上升了5℃,记作+5℃;而另一天的气温比前一天下降了3℃,应记作____℃。
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题目描述的是唐朝都城长安中外人士云集、市场繁荣、文化多元的场景,这直接反映了唐朝对外开放、积极与外国进行经济和文化交流的特点。唐朝实行开明的对外政策,长安作为国际大都市,吸引了大量外国商人、使节和留学生,体现了其文化包容性和中外交流的频繁。选项A、B、D虽然也是唐朝的特点,但与题干中‘外国使节’‘不同国家的人’等关键词不符,因此正确答案为C。
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[{"id":2214,"content":"某学生在记录一周内每天气温变化时,发现某天的气温比前一天上升了5℃,记作+5℃;第二天又下降了8℃,应记作____℃。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"-8","explanation":"根据正数和负数表示相反意义的量的知识点,气温上升用正数表示,下降则用负数表示。因此,气温下降8℃应记作-8℃。","options":[]},{"id":1881,"content":"某学生在整理班级数学测验成绩时,绘制了如下频数分布直方图(数据已简化):成绩在60~70分的有5人,70~80分的有8人,80~90分的有12人,90~100分的有5人。若将每个分数段的中点作为该组的代表值,则全班的平均成绩约为多少分?","type":"选择题","subject":"语文","grade":"七年级","stage":"初中","difficulty":"困难","answer":"C","explanation":"本题考查数据的收集、整理与描述中的加权平均数计算,属于七年级数学统计部分的综合应用。解题思路如下:首先确定各分数段的中点值,即60~70分的中点为65分,70~80分为75分,80~90分为85分,90~100分为95分。然后计算各组的总分:65×5=325,75×8=600,85×12=1020,95×5=475。总人数为5+8+12+5=30人。总分为325+600+1020+475=2420分。平均成绩为2420÷30≈80.67分,四舍五入后最接近82分。因此正确答案为C。本题融合了数据分组、中点值估算和加权平均计算,具有一定的综合性,符合困难难度要求。","options":[{"id":"A","content":"78分"},{"id":"B","content":"80分"},{"id":"C","content":"82分"},{"id":"D","content":"84分"}]},{"id":2538,"content":"某学生观察一个圆柱形水杯的正视图、俯视图和左视图,发现其正视图和左视图均为矩形,俯视图为一个圆。若该水杯的高为12 cm,底面直径为8 cm,则其正视图的矩形面积为多少?","type":"选择题","subject":"数学","grade":"九年级","stage":"初中","difficulty":"简单","answer":"A","explanation":"题目考查的是投影与视图中的基本几何体三视图知识。圆柱形水杯的正视图是一个矩形,其高度等于圆柱的高(12 cm),宽度等于圆柱底面的直径(8 cm)。因此,正视图的矩形面积为:12 × 8 = 96 cm²。选项A正确。","options":[{"id":"A","content":"96 cm²"},{"id":"B","content":"48 cm²"},{"id":"C","content":"64 cm²"},{"id":"D","content":"32 cm²"}]},{"id":1077,"content":"在一次班级环保活动中,某学生收集了若干节废旧电池。若每5节电池装一盒,则最后剩下3节;若每7节电池装一盒,则刚好装完。该学生至少收集了___节废旧电池。","type":"填空题","subject":"数学","grade":"七年级","stage":"小学","difficulty":"简单","answer":"28","explanation":"设该学生收集的电池总数为x节。根据题意,x除以5余3,即x ≡ 3 (mod 5);同时x能被7整除,即x ≡ 0 (mod 7)。我们寻找满足这两个条件的最小正整数。列出7的倍数:7, 14, 21, 28, 35…,检查哪些数除以5余3。7÷5=1余2,14÷5=2余4,21÷5=4余1,28÷5=5余3,满足条件。因此最小的x是28。","options":[]},{"id":185,"content":"小明去文具店买笔记本,每本笔记本的价格是8元。他买了5本,付给收银员50元。请问他应找回多少钱?","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"A","explanation":"首先计算小明购买5本笔记本的总花费:每本8元,5本就是 8 × 5 = 40 元。他付了50元,所以应找回的钱是 50 - 40 = 10 元。因此正确答案是A。","options":[{"id":"A","content":"10元"},{"id":"B","content":"12元"},{"id":"C","content":"15元"},{"id":"D","content":"18元"}]},{"id":549,"content":"某班级进行了一次数学测验,成绩分布如下表所示。已知成绩在80分及以上的学生占总人数的40%,成绩在60分到79分之间的学生比成绩在60分以下的学生多10人,且全班共有50名学生。那么,成绩在60分以下的学生有多少人?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"设成绩在60分以下的学生有x人,则成绩在60分到79分之间的学生有(x + 10)人。根据题意,成绩在80分及以上的学生占总人数的40%,即50 × 40% = 20人。全班总人数为50人,因此可以列出方程:x + (x + 10) + 20 = 50。化简得:2x + 30 = 50,解得2x = 20,x = 10。所以,成绩在60分以下的学生有10人。","options":[{"id":"A","content":"10人"},{"id":"B","content":"15人"},{"id":"C","content":"20人"},{"id":"D","content":"25人"}]},{"id":2478,"content":"一个圆形花坛的半径为5米,现要在花坛周围铺设一条宽度相同的环形小路,使得整个区域(花坛加小路)的外圆周长为18π米。求这条小路的宽度。","type":"选择题","subject":"数学","grade":"九年级","stage":"初中","difficulty":"简单","answer":"D","explanation":"设小路的宽度为x米,则整个区域的外圆半径为(5 + x)米。根据圆的周长公式C = 2πr,可得外圆周长为2π(5 + x)。题目中给出外圆周长为18π米,因此列出方程:2π(5 + x) = 18π。两边同时除以π,得2(5 + x) = 18,即10 + 2x = 18,解得2x = 8,x = 4。因此,小路的宽度为4米,正确答案为D。","options":[{"id":"A","content":"1米"},{"id":"B","content":"2米"},{"id":"C","content":"3米"},{"id":"D","content":"4米"}]},{"id":2227,"content":"某学生记录了一周内每天气温的变化情况,规定气温上升记为正,下降记为负。已知周一气温变化为 -3℃,周二为 +5℃,周三为 -2℃,则这三天中气温变化总和为 ___ ℃。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"0","explanation":"根据题意,气温变化总和为 -3 + (+5) + (-2)。先计算 -3 + 5 = 2,再计算 2 + (-2) = 0。因此,三天气温变化总和为 0℃,表示整体上没有变化。","options":[]},{"id":2207,"content":"某学生在一条东西走向的直线上做标记,规定向东为正方向。他从原点出发,先向东走了5米,记作+5米,接着又向西走了8米。此时他的位置相对于原点的方向和距离应如何表示?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"B","explanation":"向东走5米记作+5,向西走8米记作-8。总位移为+5 + (-8) = -3,表示最终位于原点西侧3米处,应记作-3米。因此正确答案是B。","options":[{"id":"A","content":"向东3米,记作+3米"},{"id":"B","content":"向西3米,记作-3米"},{"id":"C","content":"向东13米,记作+13米"},{"id":"D","content":"向西13米,记作-13米"}]},{"id":194,"content":"小明买了3支铅笔和2本笔记本,共花费18元。已知每本笔记本比每支铅笔贵3元。设每支铅笔的价格为x元,则下列方程正确的是( )","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"题目中设每支铅笔的价格为x元,因为每本笔记本比每支铅笔贵3元,所以每本笔记本的价格为(x + 3)元。小明买了3支铅笔,总价为3x元;买了2本笔记本,总价为2(x + 3)元。根据总花费为18元,可列出方程:3x + 2(x + 3) = 18。因此,正确选项是A。其他选项错误地将笔记本价格设为比铅笔便宜,或混淆了数量与单价的关系。","options":[{"id":"A","content":"3x + 2(x + 3) = 18"},{"id":"B","content":"3x + 2(x - 3) = 18"},{"id":"C","content":"3(x + 3) + 2x = 18"},{"id":"D","content":"3(x - 3) + 2x = 18"}]}]