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@@ -47,10 +47,10 @@ const quizQuestions = [
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points: 20,
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text: '地球质量为M,半径为R,引力常量为G。一颗质量为m的人造地球卫星在距离地面高度为h的轨道上做匀速圆周运动,则( )',
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options: [
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{ id: 'mq2-a', label: 'A', text: '卫星的线速度大小为<img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/e2ef2d4a91a3dfc8f7e227c45dcf5dc0\\media\\image1.png" alt="公式">' },
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{ id: 'mq2-b', label: 'B', text: '卫星的角速度大小为<img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/e2ef2d4a91a3dfc8f7e227c45dcf5dc0\\media\\image2.png" alt="公式">' },
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{ id: 'mq2-c', label: 'C', text: '卫星的向心加速度大小为<img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/e2ef2d4a91a3dfc8f7e227c45dcf5dc0\\media\\image3.png" alt="公式">' },
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{ id: 'mq2-d', label: 'D', text: '卫星的周期为<img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/e2ef2d4a91a3dfc8f7e227c45dcf5dc0\\media\\image4.png" alt="公式">' }
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{ id: 'mq2-a', label: 'A', text: '卫星的线速度大小为<img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/e2ef2d4a91a3dfc8f7e227c45dcf5dc0\/media/\image1.png" alt="公式">' },
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{ id: 'mq2-b', label: 'B', text: '卫星的角速度大小为<img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/e2ef2d4a91a3dfc8f7e227c45dcf5dc0\/media/\image2.png" alt="公式">' },
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{ id: 'mq2-c', label: 'C', text: '卫星的向心加速度大小为<img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/e2ef2d4a91a3dfc8f7e227c45dcf5dc0\/media/\image3.png" alt="公式">' },
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{ id: 'mq2-d', label: 'D', text: '卫星的周期为<img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/e2ef2d4a91a3dfc8f7e227c45dcf5dc0\/media/\image4.png" alt="公式">' }
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],
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explanation: '正确答案:C<br>解析:A.卫星的线速度大小为v=√(GM/(R+h)),故A错误;B.卫星的角速度大小为ω=√(GM/(R+h)³),故B错误;C.卫星的向心加速度大小为a=GM/(R+h)²,故C正确;D.卫星的周期为T=2π√((R+h)³/GM),故D错误。故答案为:C。'
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},
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@@ -87,11 +87,11 @@ const quizQuestions = [
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difficulty: 'medium',
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number: 5,
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points: 20,
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text: '我国首颗超百Gbps容量高通量地球静止轨道通信卫星中星26号卫星,于北京时间2023年2月23日在西昌卫星发射中心成功发射,该卫星主要用于为固定端及车、船、机载终端提供高速宽带接入服务。如图,某时刻中星26与椭圆轨道侦察卫星恰好位于C、D两点,两星轨道相交于A、B两点,C、D连线过地心,D点为远地点,两卫星运行周期都为T。下列说法正确的是( )<br><br><img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/760c54b8e6491d7c3ac566d6299818a4\\media\\image1.png" alt="轨道图">',
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text: '我国首颗超百Gbps容量高通量地球静止轨道通信卫星中星26号卫星,于北京时间2023年2月23日在西昌卫星发射中心成功发射,该卫星主要用于为固定端及车、船、机载终端提供高速宽带接入服务。如图,某时刻中星26与椭圆轨道侦察卫星恰好位于C、D两点,两星轨道相交于A、B两点,C、D连线过地心,D点为远地点,两卫星运行周期都为T。下列说法正确的是( )<br><br><img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/760c54b8e6491d7c3ac566d6299818a4\/media/\image1.png" alt="轨道图">',
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options: [
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{ id: 'mq5-a', label: 'A', text: '中星26与侦察卫星可能在A点或B点相遇' },
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{ id: 'mq5-b', label: 'B', text: '侦查卫星从D点运动到A点过程中机械能增大' },
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{ id: 'mq5-c', label: 'C', text: '中星26在C点线速度<img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/760c54b8e6491d7c3ac566d6299818a4\\media\\image2.png" alt="公式">与侦察卫星在D点线速度<img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/760c54b8e6491d7c3ac566d6299818a4\\media\\image3.png" alt="公式">相等' },
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{ id: 'mq5-c', label: 'C', text: '中星26在C点线速度<img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/760c54b8e6491d7c3ac566d6299818a4\/media/\image2.png" alt="公式">与侦察卫星在D点线速度<img src="https://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/WToM/images/760c54b8e6491d7c3ac566d6299818a4\/media/\image3.png" alt="公式">相等' },
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{ id: 'mq5-d', label: 'D', text: '相等时间内中星26与地球的连线扫过的面积大于侦察卫星与地球的连线扫过的面积' }
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],
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explanation: '正确答案:D<br>解析:A.中星26与侦察卫星周期相同,并且当中星26在下半周运动时,卫星在上半周运动,故不可能相遇,故A错误;B.侦查卫星在D到A点过程中只有引力做功故机械能不变,故B错误;C.开普勒第二定律可知,在近地点速度大于远地点速度故中星26在C点线速度大于侦察卫星在D点线速度,故C错误;D.中星26与侦察卫星的周期相同,由开普勒第三定律,中星26轨道半径等于侦察卫星的半长轴,运动一个周期中星26是一个圆,而侦察卫星是一个椭圆,由于圆的面积大于椭圆的面积,故相等时间内中星26与地球的连线扫过的面积大于侦察卫星与地球的连线扫过的面积,故D正确;故答案为:D。'
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