已知一个三角形的两边长分别为3cm和7cm,第三边的长度可能是以下哪个?
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[{"id":2459,"content":"某学生在研究一组数据时发现,这组数据的平均数是12,若将每个数据都乘以2后再减去3,得到的新数据组的平均数是___。","type":"填空题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"中等","answer":"21","explanation":"原平均数为12,每个数据乘以2后平均数变为24,再减去3,新平均数为24 - 3 = 21。数据线性变换后平均数按相同规律变化。","options":[]},{"id":1995,"content":"某学生在研究轴对称图形时,发现一个等腰三角形ABC,其中AB = AC,且顶角∠BAC = 80°。若该三角形关于底边BC上的高AD所在直线对称,则底角∠ABC的度数为多少?","type":"选择题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"简单","answer":"B","explanation":"因为AB = AC,所以△ABC是等腰三角形,底角∠ABC = ∠ACB。根据三角形内角和定理,三个内角之和为180°。已知顶角∠BAC = 80°,则两个底角之和为180° - 80° = 100°。由于两个底角相等,因此每个底角为100° ÷ 2 = 50°。所以∠ABC = 50°。题目中提到的轴对称性(关于高AD对称)也符合等腰三角形的性质,进一步验证了结论的正确性。","options":[{"id":"A","content":"40°"},{"id":"B","content":"50°"},{"id":"C","content":"60°"},{"id":"D","content":"70°"}]},{"id":1928,"content":"在平面直角坐标系中,点A(2, 3)绕原点逆时针旋转90°后得到点B,再将点B向右平移4个单位,得到点C。若点C的坐标为(a, b),则a + b的值为____。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"困难","answer":"5","explanation":"点A(2,3)绕原点逆时针旋转90°得B(-3,2),再向右平移4个单位得C(1,2),故a=1, b=2,a+b=3。","options":[]},{"id":568,"content":"总人数40人,百分比55%","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":701,"content":"某学生测量了学校花坛一周的5个边的长度,分别为3米、5米、4米、3米和5米,这个花坛的周长是___米。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"20","explanation":"周长是指封闭图形所有边长之和。题目中给出了花坛的5个边的长度:3米、5米、4米、3米和5米。将这些长度相加:3 + 5 + 4 + 3 + 5 = 20(米)。因此,花坛的周长是20米。本题考查的是对周长概念的理解以及有理数的加法运算,属于几何图形初步与有理数知识点的结合,符合七年级数学课程要求。","options":[]},{"id":245,"content":"某学生计算一个数的相反数时,将该数加上3,结果得到8,那么这个数的相反数是____。","type":"填空题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"-5","explanation":"设这个数为x。根据题意,某学生将这个数加上3得到8,即x + 3 = 8,解得x = 5。那么这个数的相反数是-5。题目考查的是相反数的概念和一元一次方程的简单应用,符合七年级数学课程内容。","options":[]},{"id":2409,"content":"某学生在研究一个实际问题时,发现一个等腰三角形的底边长为6,两腰长均为5。他\/她想通过构造一条对称轴来简化分析,于是作底边的垂直平分线,交两腰于点D和E。若将该三角形沿这条对称轴折叠,则两个腰完全重合。现在,该学生想计算这条对称轴上从顶点到底边中点的距离,这个距离等于多少?","type":"选择题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"中等","answer":"B","explanation":"本题考查等腰三角形的轴对称性质与勾股定理的综合应用。已知等腰三角形底边为6,两腰为5。作底边的垂直平分线,即为对称轴,它通过顶点且垂直于底边,交底边于中点M。设顶点为A,底边两端点为B、C,则BM = MC = 3。在直角三角形AMB中,AB = 5,BM = 3,由勾股定理得:AM² = AB² - BM² = 25 - 9 = 16,因此AM = √16 = 4。这条对称轴上从顶点到底边中点的距离即为高AM,等于4。选项B正确。","options":[{"id":"A","content":"√7"},{"id":"B","content":"4"},{"id":"C","content":"√13"},{"id":"D","content":"2√3"}]},{"id":418,"content":"28","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":2201,"content":"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。此时该学生所在位置所表示的数是___。","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"B","explanation":"从原点出发向右移动5个单位,表示+5;再向左移动8个单位,表示-8。最终位置为5 + (-8) = -3,因此该学生所在位置表示的数是-3。","options":[{"id":"A","content":"3"},{"id":"B","content":"-3"},{"id":"C","content":"13"},{"id":"D","content":"-13"}]},{"id":337,"content":"某学生调查了班级同学每天使用手机的时间(单位:小时),并将数据整理如下:1小时有5人,2小时有8人,3小时有10人,4小时有7人。请问这组数据的众数是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"C","explanation":"众数是一组数据中出现次数最多的数值。根据题目提供的数据:使用1小时的有5人,2小时的有8人,3小时的有10人,4小时的有7人。其中,3小时对应的人数最多(10人),因此这组数据的众数是3小时。正确答案为C。","options":[{"id":"A","content":"1小时"},{"id":"B","content":"2小时"},{"id":"C","content":"3小时"},{"id":"D","content":"4小时"}]}]