某学生在整理班级同学的课外阅读情况时,收集了10名同学每周课外阅读时间(单位:小时),数据如下:3,5,4,6,5,7,5,4,6,5。这组数据的众数和中位数分别是多少?
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题目中已知某天温度为-3℃,另一天比它高5℃,即计算-3 + 5。根据正负数加减法则,-3 + 5 = 2,因此这一天的温度记为2℃。该题考查正负数在实际情境中的加减运算,符合七年级学生对正负数意义的理解和应用要求。
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[{"id":618,"content":"3.42元","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":515,"content":"40","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":2451,"content":"某学生在研究一个轴对称图形时,发现其对称轴是直线x=3,且图形上一点A的坐标为(5, 4)。若点A关于该对称轴的对称点为B,则点B的横坐标为___。","type":"填空题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"中等","answer":"1","explanation":"对称轴为x=3,点A(5,4)到对称轴的距离为5−3=2,对称点B在对称轴另一侧相同距离处,故横坐标为3−2=1。","options":[]},{"id":2156,"content":"某学生在数轴上标记了三个有理数:-1.5、0.8 和 -2\/3。若将这三个数按从小到大的顺序排列,正确的结果是?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"D","explanation":"首先比较负数:-1.5 比 -2\/3(约等于 -0.67)更小,因为它在数轴上更靠左;0.8 是正数,最大。因此从小到大的顺序是 -1.5 < -2\/3 < 0.8。选项 D 正确。","options":[{"id":"A","content":"-1.5, -2\/3, 0.8"},{"id":"B","content":"-2\/3, -1.5, 0.8"},{"id":"C","content":"0.8, -2\/3, -1.5"},{"id":"D","content":"-1.5, -2\/3, 0.8"}]},{"id":1932,"content":"某学生在平面直角坐标系中绘制了一个等腰三角形ABC,其中点A的坐标为(0, 0),点B的坐标为(6, 0),且点C在第一象限。若该三角形的周长为$16 + 2\\sqrt{13}$,则点C的纵坐标为____。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"困难","answer":"4","explanation":"由AB = 6,设C(x, y),因等腰且C在第一象限,AC = BC。利用距离公式列方程,结合周长条件解得y = 4。","options":[]},{"id":626,"content":"x + (x + 3) + 2x + x = 45","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":2468,"content":"如图,在平面直角坐标系中,点A(0, 4),点B(6, 0),点C为线段AB上的一个动点。以AC为边作正方形ACDE,使得点D在x轴上方,点E在点A的右侧。连接BE,交y轴于点F。已知正方形ACDE的面积为S,线段OF的长度为y(O为坐标原点)。\\n\\n(1) 设AC = x,试用含x的代数式表示S,并求出S的取值范围;\\n(2) 当点C在线段AB上运动时,求y关于x的函数关系式,并指出该函数的定义域;\\n(3) 若某学生测得三组数据如下:当x = 2时,y ≈ 1.6;当x = 3时,y ≈ 2.4;当x = 4时,y ≈ 3.2。请判断该学生记录的数据是否符合你求得的函数关系,并说明理由。","type":"解答题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"中等","answer":"待完善","explanation":"解析待完善","options":[]},{"id":951,"content":"在一次校园植物观察活动中,某学生记录了一周内每天中午12点时一棵小树苗的高度(单位:厘米),数据如下:第1天30,第2天32,第3天35,第4天38,第5天42,第6天45,第7天49。如果将这7天的树苗高度按从小到大的顺序排列,那么中位数是___。","type":"填空题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"38","explanation":"中位数是指一组数据按从小到大(或从大到小)的顺序排列后,位于中间位置的数。本题中共有7个数据,是奇数个,因此中位数就是第(7+1)\/2 = 4个数。将数据从小到大排列为:30, 32, 35, 38, 42, 45, 49,第4个数是38,所以中位数是38。本题考查的是数据的收集、整理与描述中的中位数概念,属于七年级统计初步内容,难度为简单。","options":[]},{"id":712,"content":"在一次环保活动中,某学生记录了连续5天每天回收的塑料瓶数量,分别为:12个、15个、_个、18个、20个。已知这5天回收数量的平均数是16个,那么第三天回收的塑料瓶数量是___个。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"15","explanation":"根据平均数的定义,5天回收总数的平均数是16个,因此5天的总回收数量为 5 × 16 = 80 个。已知第1天到第5天中,第1、2、4、5天分别回收了12、15、18、20个,合计为 12 + 15 + 18 + 20 = 65 个。所以第三天回收的数量为 80 - 65 = 15 个。本题考查数据的收集与整理中的平均数应用,属于简单难度的实际问题建模。","options":[]},{"id":223,"content":"一个三角形的内角和是_空白处_度。","type":"填空题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"180","explanation":"根据三角形内角和定理,任意一个三角形的三个内角之和恒等于180度。这是七年级几何学习中的基本知识点,适用于所有类型的三角形,包括锐角三角形、直角三角形和钝角三角形。因此,空白处应填写180。","options":[]}]