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3℃,记作+3℃;而另一天气温下降了2℃,应如何表示?
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众数是一组数据中出现次数最多的数。在这组数据中,85出现了两次,而其他分数(92、78、90)各出现一次,因此众数是85。
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[{"id":428,"content":"86.2分","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":289,"content":"某学生在平面直角坐标系中描出三个点:A(2, 3)、B(5, 3)、C(5, 7)。若将这三个点依次连接形成一个三角形,则这个三角形的周长是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"首先根据坐标计算各边长度。点A(2,3)和点B(5,3)的纵坐标相同,距离为|5 - 2| = 3;点B(5,3)和点C(5,7)的横坐标相同,距离为|7 - 3| = 4;点A(2,3)和点C(5,7)使用距离公式:√[(5-2)² + (7-3)²] = √(9 + 16) = √25 = 5。因此三角形三边分别为3、4、5,周长为3 + 4 + 5 = 12。","options":[{"id":"A","content":"10"},{"id":"B","content":"12"},{"id":"C","content":"14"},{"id":"D","content":"16"}]},{"id":7,"content":"一个物体在水平面上做匀速直线运动,下列说法正确的是?","type":"选择题","subject":"物理","grade":"初三","stage":"初中","difficulty":"中等","answer":"A","explanation":"根据牛顿第一定律,物体在不受外力或所受合外力为零时,保持静止或匀速直线运动状态。","options":[{"id":"A","content":"物体所受合外力为零"},{"id":"B","content":"物体不受任何力"},{"id":"C","content":"物体一定受摩擦力"},{"id":"D","content":"物体速度逐渐减小"}]},{"id":171,"content":"小明去文具店买笔记本和铅笔。每本笔记本3元,每支铅笔1元。他一共买了5件文具,总共花了9元。请问他买了多少本笔记本?","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"A","explanation":"设小明买了x本笔记本,则他买的铅笔数量为(5 - x)支。根据题意,笔记本每本3元,铅笔每支1元,总花费为9元,可以列出方程:3x + 1×(5 - x) = 9。化简得:3x + 5 - x = 9 → 2x + 5 = 9 → 2x = 4 → x = 2。因此,小明买了2本笔记本。验证:2本笔记本花费6元,3支铅笔花费3元,总共9元,符合题意。","options":[{"id":"A","content":"2本"},{"id":"B","content":"3本"},{"id":"C","content":"4本"},{"id":"D","content":"1本"}]},{"id":1978,"content":"某学生在一张纸上画了一个边长为5 cm的正方形,然后以正方形的一个顶点为圆心,以正方形的边长5 cm为半径画了一个扇形。若将该扇形剪下并绕其圆心顺时针旋转60°,则扇形扫过的区域面积是多少?(π取3.14)","type":"选择题","subject":"数学","grade":"九年级","stage":"初中","difficulty":"简单","answer":"A","explanation":"本题考查扇形旋转过程中扫过区域的面积计算,结合圆与旋转的知识点。初始扇形是以正方形顶点为圆心、半径为5 cm、圆心角为90°的扇形(因为正方形内角为90°)。当该扇形绕圆心顺时针旋转60°时,其扫过的区域是两个扇形之间的环形扇面,即圆心角为60°、半径为5 cm的扇形面积。计算公式为:S = (θ\/360) × πr² = (60\/360) × 3.14 × 5² = (1\/6) × 3.14 × 25 ≈ 13.08 cm²。因此正确答案为A。","options":[{"id":"A","content":"13.08 cm²"},{"id":"B","content":"15.70 cm²"},{"id":"C","content":"18.84 cm²"},{"id":"D","content":"21.98 cm²"}]},{"id":1,"content":"若x=3是方程2x + a = 7的解,则a的值为?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"将x=3代入方程2x + a = 7,得2*3 + a = 7,解得a = 1。","options":[{"id":"A","content":"1"},{"id":"B","content":"-1"},{"id":"C","content":"2"},{"id":"D","content":"3"}]},{"id":480,"content":"某班级在一次数学测验中,随机抽取了10名学生的成绩(单位:分)如下:78,82,85,88,90,90,92,94,96,98。关于这组数据的描述,以下哪一项是正确的?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"首先将数据按从小到大排列:78,82,85,88,90,90,92,94,96,98。数据个数为10,是偶数,因此中位数为第5和第6个数的平均数,即(90 + 90) ÷ 2 = 90。众数是出现次数最多的数,90出现了两次,其余数均出现一次,因此众数是90。平均数为所有数据之和除以个数:(78 + 82 + 85 + 88 + 90 + 90 + 92 + 94 + 96 + 98) ÷ 10 = 893 ÷ 10 = 89.3。极差是最大值减最小值:98 - 78 = 20。因此,选项B中‘平均数是89.3,极差是20’是正确的。选项A中位数正确但表述不完整(虽正确但不是最全面判断),选项C中位数错误,选项D极差和平均数均错误。综合分析,只有B完全正确。","options":[{"id":"A","content":"这组数据的众数是90,中位数是90"},{"id":"B","content":"这组数据的平均数是89.3,极差是20"},{"id":"C","content":"这组数据的中位数是89,众数是90"},{"id":"D","content":"这组数据的极差是18,平均数是90"}]},{"id":758,"content":"在一次班级大扫除中,某学生负责统计各小组打扫教室所用时间(单位:分钟),记录如下:第一组用了 25 分钟,第二组比第一组多用了 3 分钟,第三组比第二组少用了 5 分钟。那么第三组用了 ____ 分钟。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"23","explanation":"首先,第一组用了 25 分钟;第二组比第一组多 3 分钟,即 25 + 3 = 28 分钟;第三组比第二组少 5 分钟,即 28 - 5 = 23 分钟。因此,第三组用了 23 分钟。本题考查有理数的加减运算在实际情境中的应用,属于简单难度。","options":[]},{"id":362,"content":"某学生在平面直角坐标系中画了一个点 P,其横坐标是 -3,纵坐标比横坐标大 5,则点 P 的坐标是( )","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"根据题意,点 P 的横坐标是 -3。纵坐标比横坐标大 5,即纵坐标为 -3 + 5 = 2。因此点 P 的坐标是 (-3, 2)。选项 A 正确。","options":[{"id":"A","content":"(-3, 2)"},{"id":"B","content":"(3, -2)"},{"id":"C","content":"(-3, -8)"},{"id":"D","content":"(2, -3)"}]},{"id":2496,"content":"某学生设计了一个圆形花坛,其外围是一个边长为8米的正方形地砖区域。花坛恰好内切于该正方形,即花坛的直径等于正方形的边长。若在该花坛中随机撒一粒种子,则种子落在花坛内的概率是多少?","type":"选择题","subject":"数学","grade":"九年级","stage":"初中","difficulty":"简单","answer":"A","explanation":"本题考查圆与正方形的几何关系及概率初步知识。正方形边长为8米,因此面积为 8² = 64 平方米。花坛为内切圆,直径也为8米,半径为4米,面积为 π×4² = 16π 平方米。种子随机落在正方形区域内,落在花坛内的概率即为花坛面积与正方形面积之比:16π \/ 64 = π\/4。因此正确答案为A。","options":[{"id":"A","content":"π\/4"},{"id":"B","content":"π\/2"},{"id":"C","content":"1\/4"},{"id":"D","content":"2\/π"}]}]