某学生在数轴上从原点出发,先向右移动5个单位长度,再向左移动8个单位长度,接着向右移动3个单位长度,最后向左移动6个单位长度。该学生最终所在位置的数与其起始位置(原点)的距离是___。
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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。
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[{"id":2541,"content":"一个圆形花坛的半径为6米,现计划在花坛中心安装一个自动旋转喷水器,喷水范围形成一个扇形,其圆心角为θ(0° < θ < 360°)。已知喷水覆盖区域的面积S(平方米)与圆心角θ(度)之间的关系为 S = (θ\/360) × π × 6²。若要求喷水覆盖面积恰好为花坛总面积的1\/3,则θ的值应为多少?","type":"选择题","subject":"数学","grade":"九年级","stage":"初中","difficulty":"中等","answer":"B","explanation":"首先计算整个花坛的面积:π × 6² = 36π 平方米。题目要求喷水覆盖面积为总面积的1\/3,即 (1\/3) × 36π = 12π 平方米。根据题中给出的公式 S = (θ\/360) × 36π,代入 S = 12π 得:12π = (θ\/360) × 36π。两边同时除以π,得到 12 = (θ\/360) × 36。两边同除以12,得 1 = (θ\/360) × 3,即 θ\/360 = 1\/3,解得 θ = 120°。因此正确答案为B。","options":[{"id":"A","content":"90°"},{"id":"B","content":"120°"},{"id":"C","content":"150°"},{"id":"D","content":"180°"}]},{"id":244,"content":"一个长方形的长是 8 厘米,宽是 5 厘米,它的面积是 _ 平方厘米。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"40","explanation":"长方形的面积计算公式是:面积 = 长 × 宽。题目中给出的长是 8 厘米,宽是 5 厘米,因此面积为 8 × 5 = 40 平方厘米。","options":[]},{"id":333,"content":"(4, 1)","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"答案待完善","explanation":"解析待完善","options":[]},{"id":433,"content":"4","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"待完善","explanation":"解析待完善","options":[]},{"id":234,"content":"某学生在计算一个数减去3.5时,误将减号看成了加号,结果得到8.2。那么正确的计算结果应该是____。","type":"填空题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"1.2","explanation":"该学生误将减法算成加法,即他计算的是:原数 + 3.5 = 8.2。由此可求出原数为:8.2 - 3.5 = 4.7。那么正确的计算应为:4.7 - 3.5 = 1.2。因此正确答案是1.2。","options":[]},{"id":1957,"content":"某学生参加学校组织的‘健康生活’主题调查,记录了连续7天每天步行的步数(单位:千步),数据如下:6.2, 5.8, 7.1, 6.5, 6.9, 5.5, 7.3。若该学生希望估算自己一个月(按30天计算)的总步行步数,并假设每日步数服从这组数据的平均水平,则估算结果最接近以下哪个数值?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"中等","answer":"B","explanation":"本题考查数据的收集、整理与描述中利用样本平均数估计总体的应用。首先计算7天步行步数的平均数:(6.2 + 5.8 + 7.1 + 6.5 + 6.9 + 5.5 + 7.3) ÷ 7 = 45.3 ÷ 7 ≈ 6.471(千步\/天)。然后估算30天的总步数:6.471 × 30 ≈ 194.13(千步),最接近195千步。因此选项B正确。","options":[{"id":"A","content":"180千步"},{"id":"B","content":"195千步"},{"id":"C","content":"200千步"},{"id":"D","content":"210千步"}]},{"id":2770,"content":"某学生在参观博物馆时看到一件唐代的陶俑,其服饰风格融合了中亚地区的特点,面部轮廓立体,手持胡琴。这件文物最能反映唐代哪一方面的历史特征?","type":"选择题","subject":"历史","grade":"七年级","stage":"初中","difficulty":"简单","answer":"C","explanation":"题目中的陶俑具有中亚服饰特征和胡琴等外来文化元素,说明唐代社会受到外来文化的影响。唐朝国力强盛,对外交通发达,通过丝绸之路与中亚、西亚等地频繁交流,吸收了大量外来艺术、音乐和服饰文化。因此,这件文物最能体现唐代中外文化交流频繁的特点。选项A与题干无关;选项B错误,唐代是开放的朝代;选项D不符合史实,佛教虽盛行但并未取代本土信仰。故正确答案为C。","options":[{"id":"A","content":"唐代农业技术高度发达"},{"id":"B","content":"唐代实行严格的闭关锁国政策"},{"id":"C","content":"唐代中外文化交流频繁"},{"id":"D","content":"唐代佛教完全取代了本土信仰"}]},{"id":907,"content":"在一次班级图书整理活动中,某学生统计了同学们捐赠的图书数量,发现捐赠图书最多的类别是科普类,共12本,最少的类别是诗歌类,共3本。如果将各类图书数量按从小到大的顺序排列,处在正中间的那个数称为这组数据的中位数。已知共有5个不同的图书类别,且各类图书数量均为正整数,其中科普类和诗歌类的数量已知,其余三个类别的图书数量分别为5本、7本和9本。那么这组数据的中位数是___。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"7","explanation":"首先将已知的五个图书类别的数量列出:诗歌类3本,其余三类分别为5本、7本、9本,科普类12本。将这些数按从小到大的顺序排列为:3、5、7、9、12。由于共有5个数据(奇数个),中位数就是正中间的那个数,即第3个数。排序后第3个数是7,因此这组数据的中位数是7。","options":[]},{"id":330,"content":"某学生记录了连续5天每天完成数学作业所用的时间(单位:分钟),分别为:35、40、30、45、40。这5天完成作业的平均时间是多少分钟?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"要计算平均时间,需将5天的作业时间相加,再除以天数5。计算过程如下:35 + 40 + 30 + 45 + 40 = 190(分钟),然后 190 ÷ 5 = 38(分钟)。因此,这5天完成作业的平均时间是38分钟。本题考查的是数据的收集、整理与描述中的平均数计算,属于七年级数学课程内容,难度为简单。","options":[{"id":"A","content":"36"},{"id":"B","content":"38"},{"id":"C","content":"40"},{"id":"D","content":"42"}]},{"id":2169,"content":"某学生在数轴上标记了三个有理数点A、B、C,其中点A表示的数是-3.5,点B位于点A右侧4.2个单位长度处,点C位于点B左侧2.8个单位长度处。若将这三个点所表示的数按从小到大的顺序排列,正确的顺序是?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"困难","answer":"B","explanation":"首先确定各点表示的有理数:点A为-3.5;点B在A右侧4.2个单位,即-3.5 + 4.2 = 0.7;点C在B左侧2.8个单位,即0.7 - 2.8 = -2.1。因此三个数分别为:A=-3.5,B=0.7,C=-2.1。比较大小:-3.5 < -2.1 < 0.7,即A < C < B。","options":[{"id":"A","content":"A < B < C"},{"id":"B","content":"A < C < B"},{"id":"C","content":"C < A < B"},{"id":"D","content":"B < C < A"}]}]