'commit'
This commit is contained in:
@@ -23,6 +23,223 @@ const correctAnswers = {
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}
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};
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// 所有试题数据
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const quizQuestions = [
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// 中等难度题目
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{
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id: 'mq1',
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difficulty: 'medium',
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number: 1,
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points: 20,
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text: '下列关于万有引力定律的说法中,正确的是:',
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options: [
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{ id: 'mq1-a', label: 'A', text: '万有引力定律只适用于天体之间的相互作用' },
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{ id: 'mq1-b', label: 'B', text: '两个物体之间的万有引力大小与它们距离的平方成反比' },
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{ id: 'mq1-c', label: 'C', text: '万有引力的方向总是垂直于两个物体的连线方向' },
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{ id: 'mq1-d', label: 'D', text: '万有引力常量G是牛顿通过实验测量得出的' }
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],
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explanation: '正确答案:B<br>解析:万有引力定律适用于宇宙中任何两个有质量的物体之间的相互作用,不仅限于天体,故A错误;根据万有引力公式F=G(m₁m₂)/r²,两个物体之间的万有引力大小与它们距离的平方成反比,故B正确;万有引力的方向总是沿着两个物体的连线方向,故C错误;万有引力常量G是卡文迪许通过扭秤实验测量得出的,故D错误。'
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},
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{
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id: 'mq2',
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difficulty: 'medium',
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number: 2,
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points: 20,
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text: '地球表面的重力加速度为g,若地球的质量不变,但半径变为原来的一半,则地球表面的重力加速度变为:',
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options: [
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{ id: 'mq2-a', label: 'A', text: 'g/4' },
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{ id: 'mq2-b', label: 'B', text: 'g/2' },
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{ id: 'mq2-c', label: 'C', text: '2g' },
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{ id: 'mq2-d', label: 'D', text: '4g' }
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],
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explanation: '正确答案:D<br>解析:根据重力加速度公式g=GM/R²,其中G为万有引力常量,M为地球质量,R为地球半径。当地球质量M不变,半径R变为原来的一半时,新的重力加速度g\'=GM/(R/2)²=4GM/R²=4g,故答案为D。'
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},
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{
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id: 'mq3',
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difficulty: 'medium',
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number: 3,
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points: 20,
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text: '人造地球卫星绕地球做匀速圆周运动,若轨道半径增大到原来的2倍,则卫星的线速度大小变为原来的:',
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options: [
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{ id: 'mq3-a', label: 'A', text: '1/2' },
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{ id: 'mq3-b', label: 'B', text: '1/√2' },
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{ id: 'mq3-c', label: 'C', text: '√2倍' },
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{ id: 'mq3-d', label: 'D', text: '2倍' }
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],
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explanation: '正确答案:B<br>解析:根据万有引力提供向心力的公式GMm/r²=mv²/r,可得 satellite line speed v=√(GM/r)。当轨道半径r增大到原来的2倍时,新的线速度v\'=√(GM/(2r))=v/√2,故答案为B。'
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},
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{
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id: 'mq4',
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difficulty: 'medium',
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number: 4,
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points: 20,
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text: '两个质量分别为m和M的物体相距为r,它们之间的万有引力大小为F。若将它们的距离变为2r,质量分别变为2m和3M,则它们之间的万有引力大小变为:',
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options: [
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{ id: 'mq4-a', label: 'A', text: '3F/2' },
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{ id: 'mq4-b', label: 'B', text: '3F/4' },
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{ id: 'mq4-c', label: 'C', text: 'F/2' },
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{ id: 'mq4-d', label: 'D', text: '2F/3' }
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],
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explanation: '正确答案:A<br>解析:根据万有引力公式F=G(mM)/r²,变化后的万有引力F\'=G(2m·3M)/(2r)²=6GMm/4r²=3GMm/2r²=3F/2,故答案为A。'
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},
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{
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id: 'mq5',
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difficulty: 'medium',
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number: 5,
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points: 20,
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text: '关于开普勒行星运动定律,下列说法正确的是:',
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options: [
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{ id: 'mq5-a', label: 'A', text: '所有行星绕太阳运动的轨道都是正圆形' },
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{ id: 'mq5-b', label: 'B', text: '行星在近日点的速率小于在远日点的速率' },
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{ id: 'mq5-c', label: 'C', text: '所有行星的轨道半长轴的三次方与公转周期的二次方的比值都相等' },
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{ id: 'mq5-d', label: 'D', text: '开普勒定律仅适用于行星绕太阳的运动' }
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],
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explanation: '正确答案:C<br>解析:开普勒第一定律指出所有行星绕太阳运动的轨道都是椭圆,太阳处在椭圆的一个焦点上,故A错误;根据开普勒第二定律,行星与太阳的连线在相等时间内扫过相等的面积,因此行星在近日点的速率大于在远日点的速率,故B错误;开普勒第三定律表明所有行星的轨道半长轴的三次方与公转周期的二次方的比值都相等,故C正确;开普勒定律不仅适用于行星绕太阳的运动,也适用于卫星绕行星的运动,只是比值不同,故D错误。'
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},
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// 简单难度题目
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{
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id: 'eq1',
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difficulty: 'easy',
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number: 1,
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points: 20,
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text: '万有引力定律是由哪位科学家提出的?',
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options: [
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{ id: 'eq1-a', label: 'A', text: '爱因斯坦' },
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{ id: 'eq1-b', label: 'B', text: '牛顿' },
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{ id: 'eq1-c', label: 'C', text: '伽利略' },
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{ id: 'eq1-d', label: 'D', text: '开普勒' }
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],
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explanation: '正确答案:B<br>解析:万有引力定律是由英国科学家牛顿在1687年提出的,故答案为B。'
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},
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{
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id: 'eq2',
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difficulty: 'easy',
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number: 2,
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points: 20,
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text: '地球对物体的吸引力称为:',
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options: [
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{ id: 'eq2-a', label: 'A', text: '重力' },
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{ id: 'eq2-b', label: 'B', text: '摩擦力' },
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{ id: 'eq2-c', label: 'C', text: '弹力' },
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{ id: 'eq2-d', label: 'D', text: '向心力' }
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],
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explanation: '正确答案:A<br>解析:地球对物体的吸引力称为重力,故答案为A。'
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},
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{
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id: 'eq3',
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difficulty: 'easy',
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number: 3,
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points: 20,
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text: '下列哪个现象与万有引力无关?',
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options: [
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{ id: 'eq3-a', label: 'A', text: '苹果落地' },
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{ id: 'eq3-b', label: 'B', text: '月球绕地球运动' },
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{ id: 'eq3-c', label: 'C', text: '磁铁吸引铁钉' },
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{ id: 'eq3-d', label: 'D', text: '地球绕太阳公转' }
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],
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explanation: '正确答案:C<br>解析:磁铁吸引铁钉是磁力作用的结果,与万有引力无关,故答案为C。'
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},
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{
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id: 'eq4',
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difficulty: 'easy',
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number: 4,
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points: 20,
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text: '物体的质量越大,它受到的重力就:',
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options: [
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{ id: 'eq4-a', label: 'A', text: '越小' },
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{ id: 'eq4-b', label: 'B', text: '越大' },
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{ id: 'eq4-c', label: 'C', text: '不变' },
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{ id: 'eq4-d', label: 'D', text: '无法确定' }
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],
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explanation: '正确答案:B<br>解析:根据重力公式G=mg,物体受到的重力与质量成正比,质量越大,重力越大,故答案为B。'
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},
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{
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id: 'eq5',
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difficulty: 'easy',
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number: 5,
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points: 20,
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text: '在地球表面,重力加速度g的近似值为:',
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options: [
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{ id: 'eq5-a', label: 'A', text: '9.8 m/s²' },
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{ id: 'eq5-b', label: 'B', text: '5.0 m/s²' },
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{ id: 'eq5-c', label: 'C', text: '15.6 m/s²' },
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{ id: 'eq5-d', label: 'D', text: '3.0 m/s²' }
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],
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explanation: '正确答案:A<br>解析:在地球表面,重力加速度g的近似值为9.8 m/s²,故答案为A。'
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},
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// 高级难度题目
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{
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id: 'hq1',
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difficulty: 'hard',
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number: 1,
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points: 20,
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text: '已知地球质量为M,半径为R,万有引力常量为G。一颗人造卫星在离地面高度为R的圆形轨道上运行,则该卫星的运行周期为:',
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options: [
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{ id: 'hq1-a', label: 'A', text: '2π√(2R³/GM)' },
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{ id: 'hq1-b', label: 'B', text: '4π√(2R³/GM)' },
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{ id: 'hq1-c', label: 'C', text: '2π√(8R³/GM)' },
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{ id: 'hq1-d', label: 'D', text: '4π√(R³/GM)' }
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],
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explanation: '正确答案:C<br>解析:卫星轨道半径r=R+h=2R,根据万有引力提供向心力:GMm/r²=m(2π/T)²r,解得T=2π√(r³/GM)=2π√((2R)³/GM)=2π√(8R³/GM),故答案为C。'
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},
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{
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id: 'hq2',
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difficulty: 'hard',
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number: 2,
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points: 20,
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text: '两个质量分别为m1和m2的星球组成双星系统,它们绕两者连线上某一点做匀速圆周运动,两星球之间的距离为L。则它们的运行周期T为:',
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options: [
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{ id: 'hq2-a', label: 'A', text: '2π√(L³/G(m1+m2))' },
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{ id: 'hq2-b', label: 'B', text: '2π√(L³/2G(m1+m2))' },
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{ id: 'hq2-c', label: 'C', text: '2π√(L³/Gm1m2)' },
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{ id: 'hq2-d', label: 'D', text: '2π√(L³/G|m1-m2|)' }
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],
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explanation: '正确答案:A<br>解析:双星系统中,万有引力提供向心力,且两星球的角速度相等。设m1和m2到质心的距离分别为r1和r2,则r1+r2=L,m1ω²r1=m2ω²r2=Gm1m2/L²,解得ω=√(G(m1+m2)/L³),周期T=2π/ω=2π√(L³/G(m1+m2)),故答案为A。'
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},
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{
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id: 'hq3',
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difficulty: 'hard',
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number: 3,
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points: 20,
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text: '一物体在地球表面的重量为G,若将该物体移至距离地心4R的位置(R为地球半径),则它的重量变为:',
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options: [
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{ id: 'hq3-a', label: 'A', text: 'G/4' },
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{ id: 'hq3-b', label: 'B', text: 'G/8' },
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{ id: 'hq3-c', label: 'C', text: 'G/16' },
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{ id: 'hq3-d', label: 'D', text: 'G/2' }
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],
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explanation: '正确答案:C<br>解析:重量即物体受到的重力,根据万有引力公式G=GMm/r²,当距离地心由R变为4R时,重力变为原来的1/16,故答案为C。'
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},
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{
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id: 'hq4',
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difficulty: 'hard',
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number: 4,
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points: 20,
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text: '已知太阳质量为M,地球绕太阳做匀速圆周运动的轨道半径为r,万有引力常量为G。则地球绕太阳运动的动能为:',
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options: [
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{ id: 'hq4-a', label: 'A', text: 'GMm/2r' },
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{ id: 'hq4-b', label: 'B', text: 'GMm/r' },
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{ id: 'hq4-c', label: 'C', text: 'GMm/4r' },
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{ id: 'hq4-d', label: 'D', text: '2GMm/r' }
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],
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explanation: '正确答案:A<br>解析:地球绕太阳运动的向心力由万有引力提供:GMm/r²=mv²/r,动能Ek=1/2mv²=GMm/2r,故答案为A。'
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},
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{
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id: 'hq5',
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difficulty: 'hard',
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number: 5,
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points: 20,
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text: '某行星的质量是地球质量的4倍,半径是地球半径的2倍。一物体在地球表面的逃逸速度为v,则该物体在该行星表面的逃逸速度为:',
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options: [
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{ id: 'hq5-a', label: 'A', text: 'v' },
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{ id: 'hq5-b', label: 'B', text: '√2 v' },
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{ id: 'hq5-c', label: 'C', text: '2v' },
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{ id: 'hq5-d', label: 'D', text: '4v' }
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],
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explanation: '正确答案:B<br>解析:逃逸速度公式v=√(2GM/R),行星的M是地球的4倍,R是地球的2倍,则v\'=√(2G·4M/2R)=√(4GM/R)=√2·√(2GM/R)=√2 v,故答案为B。'
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}
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];
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// 跟踪测验状态
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const quizState = {
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currentDifficulty: 'medium', // 初始难度
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@@ -40,9 +257,13 @@ const scoreValue = document.getElementById('score-value');
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const correctCount = document.getElementById('correct-count');
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const incorrectCount = document.getElementById('incorrect-count');
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const difficultyIndicator = document.querySelector('.difficulty-indicator');
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const questionSection = document.querySelector('.question-section');
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// 等待DOM加载完成
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document.addEventListener('DOMContentLoaded', function() {
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// 渲染题目
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renderQuestions();
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// 提交当前难度的答案
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submitBtn.addEventListener('click', function() {
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const currentAnswers = correctAnswers[quizState.currentDifficulty];
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@@ -192,4 +413,71 @@ document.addEventListener('DOMContentLoaded', function() {
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navigationSection.style.display = 'block';
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document.getElementById('next-btn').style.display = 'none';
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}
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});
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});
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// 渲染题目函数
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function renderQuestions() {
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// 清空题目区域
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questionSection.innerHTML = '';
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// 按难度分组题目
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const questionsByDifficulty = {};
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quizQuestions.forEach(question => {
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if (!questionsByDifficulty[question.difficulty]) {
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questionsByDifficulty[question.difficulty] = [];
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}
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questionsByDifficulty[question.difficulty].push(question);
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});
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// 为每个难度创建题目
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Object.keys(questionsByDifficulty).forEach(difficulty => {
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questionsByDifficulty[difficulty].forEach((question, index) => {
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// 创建题目元素
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const questionElement = document.createElement('div');
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questionElement.className = 'question';
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questionElement.dataset.difficulty = question.difficulty;
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questionElement.dataset.question = question.number;
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// 如果不是中等难度,添加隐藏类
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if (question.difficulty !== 'medium') {
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questionElement.classList.add('hidden');
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}
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// 构建题目HTML
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let questionHTML = `
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<div class="question-header">
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<div class="question-number">${getDifficultyName(question.difficulty)} - 问题 ${question.number}</div>
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<div class="question-points">${question.points}分</div>
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</div>
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<div class="question-text">
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${question.text}
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</div>
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<div class="options">
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`;
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// 添加选项
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question.options.forEach(option => {
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questionHTML += `
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<div class="option">
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<input type="radio" name="${question.id}" id="${option.id}" value="${option.label}">
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<label for="${option.id}">${option.label}. ${option.text}</label>
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</div>
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`;
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});
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// 添加解析
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questionHTML += `
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</div>
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<div class="question-explanation">
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${question.explanation}
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</div>
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`;
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// 设置题目HTML
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questionElement.innerHTML = questionHTML;
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// 添加到题目区域
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questionSection.appendChild(questionElement);
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});
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});
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}
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Reference in New Issue
Block a user