• 2022-06-01
     两相距为[tex=0.571x1.0]QDHYLzpRIwhOrWBqGonCgg==[/tex] 的无限平面将介质 [tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]、 [tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex]和 [tex=0.5x1.0]/BQKP5E8YnupUQ2sDg7w1Q==[/tex]分开,磁导率同为[tex=1.0x1.0]ILQ7jIUIqNVuoKZpD55MKg==[/tex], 折射率分 别为[tex=2.214x1.0]/lX9rgSRfb/Tv/7RlsgXSA==[/tex]和[tex=1.286x1.0]OTgxlXgBo5KxFdf3CFuvhQ==[/tex]频率为 [tex=0.643x0.786]B0PC2AKEHpSnHKwlNNx+FA==[/tex] 的平面电磁波从介质 [tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]垂直入射,依次进入介质 [tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex]和 [tex=0.5x1.0]/BQKP5E8YnupUQ2sDg7w1Q==[/tex], 并在两个界面上发生反射和折射.计算反射系数(针对 [tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]侧的反射波)和透射系数 (针对 3 侧的透射波),验证二者之和为[tex=0.786x1.0]ycpt7/PpiATqHUACAPCXCQ==[/tex] (提示:分别写下介质 [tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]中的入射波和反射波,介质 [tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex]中的透射波 和反射波,以及介质 [tex=0.5x1.0]/BQKP5E8YnupUQ2sDg7w1Q==[/tex]中的透射波的复数形式,列出两个界面上的边值关系并求解 各反射波和透射波)
  • 解 按图标出介质 [tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]和 [tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex]中的入射波和反射波,介质 [tex=0.5x1.0]/BQKP5E8YnupUQ2sDg7w1Q==[/tex]中的透射波, 图中规定电场的正向垂直指向纸而,磁场的正向由 [tex=3.429x1.357]fHyzpEwE+sdN9sc4CXRPcQ==[/tex]的右手正交关系确定, 各区电场和磁场的复数形式规定如下[tex=13.143x1.571]mrP2n3EtxbnKx4S9MIHOD6IYvv3bGOrKDx2cFmHj7FDOSd+QDHvfE/MbwFeK41mKIiGPSqiEBs3U/IE8x8T1Em8IkOYG75NYJxLfu6yBvhBFkZp8DUdQ9Oml7B+2sCJ+sE+EyekxqF2FoGDz3cglLQ==[/tex][tex=15.357x6.786]c8gX0O6CKBpyqTBZ2fB4DhjgLR620KQesfddmYBLHLQ5kN4JNMo3bOCl1vK/eNIHiY1cyHKw5qfwuTXV6WNksXrzBe6Snu8Q4q3JF3vYOZwyzanA3m0OBnWzEd0LJt/DBkZDSkZredV3zI5Jv3Co3wybEkGwgeT4yGlQ+kM6z68QUS+PfCccri0Z9IZLdktEmWahTxEGBadmzB6x470sTT/XCGxEggIuXFUvWRiqAq4uqxQtL7Vq3+pPjOP++KjOjnEGK3H4DlsM5yq8XpdRVeK0UwnuaCir7C6f2Gc6kM4X0D36/bnX2B4PhiJpHBwzXVvW7iBUVHrEmnxm+w8WHeWCXy22ZiQBzng7Ht4fE3Zuz9uvbv7gEKtoePGmERk2qtFLphx69YQqQDhVTpihe9N4ysZH+9HumjmlVfV6YKIa0/1hSKOJ69tW9Y67OyzEYp6WgIvNx99lcpHfahc7CLST1hG67yDtFkh1C/1Cbok/irKppCms956Rv+78AG+Guo2L6/tmNYQn4g9LSTDyJR78ZiH+z1f0C9/E5J2CuYnALGQ1/qJOEYb9UM5b6deT[/tex]式中[tex=20.429x5.357]c8gX0O6CKBpyqTBZ2fB4DikGcUMRYfVw69PH/lu+wHS0t6iQo/q3dsKR1zKY9eZGH0nLyMYb2gdNslDWbYgj8x95Q1eHDLsQSCbx7XT43+1lcjFLG6MNrHBDW1GqBRKEOQiPvBEW87cYn6iguhuygzL6Jg8ejJF4Gw5nhBP+Wh7gFmVFREOnKypwmSS7Gr3ku/MQUCrHnLVQM0GLcEHImy1pp8AX7EeF0JnLzhvVPWfYxEPdsCBbD0db+rO6jH4TwIXpT7sIwLSgCsAlqeDn4o3mNYzPh4D2klxUeZe5XtKugRaiJ1xFuaALEqd+bL96rtEYjjZL5ZqTnV9vG38g1HI6/+ekW9N5qXrfk1h4opAQiIUcm+on8+0JGudKZMD0N9ewiGGEg2EHXgAk+sjKz3Si7bcdpRhW0Fi/GgelyAlo6vojvVO9VK1a1AYXK2dKFFPz6+a3RNWqPDdQtHsvyuKuMm9/o2x2YlCAzsRWdwY=[/tex]按题意,介质 [tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]中的入射波给定,下面根据边值关系确定其他波的振幅. 设介 质 [tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]、 [tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex]的界面位于 [tex=1.786x1.0]iYbK/m2HPL4SyxgIH2UTBA==[/tex], 则介质 [tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex]、 [tex=0.5x1.0]/BQKP5E8YnupUQ2sDg7w1Q==[/tex]的界面位于[tex=2.071x1.0]kLsSAcdKXEW3dCw8PyJw8A==[/tex] 在这两个界面上的边值关 系分别为[tex=11.857x2.786]Ck4j1YFlvVH5wCAykOEMi7TQu2Fo+Jkeu7GTie944vyuewjcCP8GyR/0gHgmjJCGcdaqsPGg/6ixOC3kw4S3CzddhiQu2dGsYi+9EJ7lZ0Kz4nLShKGvI0vLg9tuLNQF+V9sn1ORccAZc3wHkxE+NaHhhYXFOy69BL5tXsId6oI=[/tex][tex=14.357x3.214]Ck4j1YFlvVH5wCAykOEMi5orRTXK+2JwTE1zAmd7T2R+ngh6E4NUlJYUSpvFs9rVYtS6I2MD4neTweKYDgEkUrgIXFeg7h/bN7RGRT8JJSbLtNQO6JXHF3RmIz0k7t4KP9/1ZlmhWn/jIqLxOyV1TFBSMTj1CtjubXJ+JnY8m2ZJkEKav0j3yhHFNYvvv20TfOM6DsoVJvhqygpmkKYsD9uKCA0+33i59D5uwFvMN4VDb8VTAHgQqj68518oEaSA[/tex]其中,关于磁场强度切向分量连续的式子可转化为[tex=14.643x4.643]Y1TllKnOHP8fbp81a34B5tMXhaZzonfnW0ZMFnuho8bOWxmFSIPNg8K9zDW8IMgKrUILHFlaTZV05nEy3s8Jcl9/UTAYM/VFpRqcm9kJRQjVHD4i+iWio3GYC+IgEV9m/JFcm7DEg1+yfL/xkiSMWJwzOhQjqwHOZkX+ajInZqTn3xQXeXIRH5rP8109HYMRrGybucQ1t44vJNmyDM9FPm7djlBg4h97DxIxY30nhuXkDrCtl7yMPnE7+HWc9fqm[/tex]以上关于电场切向分量的方程一共 [tex=0.5x1.0]2IRxdDa5OUp8cccgqlpdUA==[/tex]个,待求量[tex=7.929x1.357]bbntXcWajeGDclFyXbpdAHTrGoPZHb4D37tSZ8wWYgkVl2sIAGGrV6LPLckLNxNrXj4vUMO34nwNQed76uzemA==[/tex] 也是 [tex=0.5x1.0]2IRxdDa5OUp8cccgqlpdUA==[/tex]个,解 唯一存在. 求解过程如下。首先,由式 ( [tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]) 和 ([tex=0.5x1.0]/BQKP5E8YnupUQ2sDg7w1Q==[/tex]) 消去 [tex=1.786x1.214]AEPfCU8d0eRFWg+jCm4a9g==[/tex], 得[tex=17.357x2.786]+oQ0FVQ7KJyFLGcHqf3vHmSlkeQddnhMMn49Oc3DwKPH+ORSx77T+QYtcEtNgJcoSGtcoKHnQEhAgRXybIy1q9M/Zpn4RqN1R7jTJHiiCyMEtLCk7q7N7d337HZkVPAaQFkMSN5WwmEQwu6gyvsbcA==[/tex]再由式 ( [tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]) 和([tex=0.5x1.0]/BQKP5E8YnupUQ2sDg7w1Q==[/tex])消去[tex=1.714x1.214]pT4JwHFgB9YRZ+4l1KmFww==[/tex] 得[tex=17.429x2.786]27KNR46kqSuXxvmsf78hEFQaY5cvmf1LZS+CwKWgA/K3ZIOxsOBR6LdOwi4iblCaNCz4AA6LZQH5BG/7CNjC1wO8J+GziB8F4NQ50IXp/1sUCX1t2nKekIrliyECy49yOQ/sDbc4whxXy3VWvFYOPA==[/tex]然后,由式([tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex])和([tex=0.5x1.0]2IRxdDa5OUp8cccgqlpdUA==[/tex])消去[tex=1.143x1.214]cCR5OyciPZOAQPcC9UgJlg==[/tex]得[tex=10.857x2.429]4cGdJ7HJoMpbidE0k1y7wWLB1ZfCdTH4EpcC1FtvRZuqSdFb0zpX0oW55+Us7O6ayZYp43XyEpHK1ZnKRk+2iamKo7zX7W6awZpNk0jy1ZY=[/tex]将式([tex=0.5x1.0]+ElP8Glp1jNyDFWBiVUf/g==[/tex])代入式([tex=0.5x1.0]swhA5SpCD6lPteGlwRbm9g==[/tex]),经化简得[tex=22.929x3.0]OJqxBSf+UqguaNlFlrsssOCfT8YlB3gzkohJseUf3DHHhI0hlh1pZCqrt7OK6Tb/HfAvDsZ7uMVvXHlYTWf/4dSDKax7oUSjAyrvpBFCKdhr/mCYNAkoqHfDn7eB67O1hcQF083fVMdMSyO6UhWRRUsYfwAtjLkeYNX4C9tGnldbmUE0w7aBW7wuelaWrrpx8Hkv12C87NBX3mjQtv4EolLxyBPucowCUC90GcIjAEREhLtvaXMpx7O92owsnX+sfxxxH5h48FVIxaVTBbT6lj2c2WwHEXcEdWaxxWcRcUY=[/tex]将式([tex=0.5x1.0]+ElP8Glp1jNyDFWBiVUf/g==[/tex])代入式([tex=0.5x1.0]hdFTVbNvvzh5T04p00SpZA==[/tex])解得[tex=23.0x3.0]tEmVfH2AQduAok6HYMWWf2JQvOhOKWs1uHg2y2xYTeG1Y6KH7zPAem2hC4P5ZuhgDrLRIgIfi/are9LhO06dZgRaCYM5XOiJJlmqwyN2LPnXfGj+Gr2HJYiaILiZwFmR+PloMdEoUH9DFscgl4FRzGgy8JXujfTM366D08DNkMYJUPfZQYyjGD0g7kxGZvzIjsG8X7nBbKW9CQFxBKriIPsCgBhcGHmd7jfl6bYGP+clZ3mHBGYXeyQVeBJsz+/ixItecQk27qnBzpd2Sj1gmIstVPaGuAvS4Zc4c9OgyrM=[/tex]最后,将式([tex=0.5x1.0]hdFTVbNvvzh5T04p00SpZA==[/tex])和([tex=0.5x1.0]HNefUrdF8bed/Hc2JSQNOQ==[/tex])代入式([tex=0.5x1.0]BhZ+18hz9Lz5rDhFQ34M8A==[/tex])解得[tex=23.5x3.071]qD3Mox3a3sFrRYJmTNsXNSd5xUGhE6WVAOv5tAryOwAbUzVkxPH1Z27p/Tj2JLrEvBFzw1ISdfrJogiJH/DQx6NAceL154PjbJAm1btGYHeSCLSafOvlwxJiFB8UB9zl5hipYnogZ7cnggC6LU51z5dJZ02/SiAK+OuFlpBWiP44EeAtlvNCWpKp3U5nFRGRpXIhL4LEj/LeRI4roU3/Afv96i3Ahcswhjrqtz1X++xwCj4p9PhbcirOqj+4+f3zi0d0Bi/mgP8fYGZWSbMNt2V1PdNz8nEEV8GqrQ6A4AsWl8qwdGYNvqGrGQRLkSqEqY4sOChDJ0tUO2JeYKR02lWFL/rxCQYyY/A51JJsKSC2hg2diVUrcAs76r96oDr8[/tex]将式([tex=0.5x1.0]hdFTVbNvvzh5T04p00SpZA==[/tex])和([tex=0.5x1.0]HNefUrdF8bed/Hc2JSQNOQ==[/tex])代入式([tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex])解得[tex=23.429x3.0]UFpUzR1j96svZUiy4PrPZnCMRFAWTmlwLKUIkeNwwyrOXRHlcXC1SJ5GeEbRjScWPf7OF8bJeMWGy8c5BZK4Yff8NoetoG3ix9TxHEnF5TIttUlM9iwwgZ4L5g0kl5IKT+EsQTp/PNqz9E1GYPbm/GMMWH5QrHdp3NYfrxIoZBF3ilPD8+pvHyiYi0NhJCTM+uq5mrvhwieL7K913tBusS9Fp/tLgE8OnHf+JbY3zPNKZHx/xKb64k0yHpgOQHeM[/tex]解毕.由上述结果立刻求得反射系数 [tex=0.786x1.0]AOSTmhvIsOwsdZlGoks7dg==[/tex] 和透射系数[tex=0.786x1.214]Ic0lvBSbsuEIOl9isp4fjQ==[/tex][tex=27.286x7.071]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[/tex]容易验证[tex=3.714x1.143]iMcl8UsPxAs0UWNMMwuBDg==[/tex][img=227x281]17959fb4165b2cc.png[/img]

    举一反三

    内容

    • 0

      设由四张卡片分别标以数字[tex=3.143x1.0]Nvtttx36IQd0YEDAjSFjsw==[/tex]今任取一张.设事件[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]为取到[tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]或[tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex],事件[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]为取到[tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]或[tex=0.5x1.0]/BQKP5E8YnupUQ2sDg7w1Q==[/tex].事件[tex=0.714x1.0]J/aA9EEo0KmJFnWWfX7LmQ==[/tex]为取到[tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]或[tex=0.5x1.0]2IRxdDa5OUp8cccgqlpdUA==[/tex].试验证: [tex=43.571x1.286]7K6eGUi9MR50NJOlwWe987341vwmZln6mZ7/0pKAhwbdfmyyeU0BB5+QiHzJddXqtKUUkyXB5g7RkfL4UNEv12RXa9aIgh/uw3SsXqPy/boURFfUNtDWBv2/JXaSFHb21VUL6keAFdMjGsummACW10+UdHdWc3dl8DkgAU4qrXu97MCOG/pxf6ylVJI8UNrA[/tex]

    • 1

      设浮点数字长[tex=1.0x1.0]5Wf867QmqWheYOY0G/cAHw==[/tex]位,其中阶码[tex=0.5x1.0]hdFTVbNvvzh5T04p00SpZA==[/tex]位(含[tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]位阶符),尾数[tex=1.0x1.0]LLSxrL1D5ZJZDXYrBg54tw==[/tex]位(含[tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]位数符),当阶码的基值分别是[tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex]和[tex=0.5x1.0]2IRxdDa5OUp8cccgqlpdUA==[/tex]时:[br][/br]说明[tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex]和[tex=0.5x1.0]2IRxdDa5OUp8cccgqlpdUA==[/tex]在浮点数中如何表示;[br][/br]

    • 2

      阿贝只消费苹果。在第[tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]年,红苹果每个[tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]美元,青苹果每个[tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex]美元,阿贝买[tex=1.0x1.0]5ll/4oTq8VGGY6gN6eTenQ==[/tex]个红苹果。在第[tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex]年,红苹果每个[tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex]美元,青苹果每个[tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]美元,阿贝购买[tex=1.0x1.0]5ll/4oTq8VGGY6gN6eTenQ==[/tex]个青苹果。把第[tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]年作为基年,计算阿贝每年对苹果的实际支出。从第[tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]年到第[tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex]年,实际支出有什么变动?

    • 3

      已知:斜齿轮蜗杆减速器。此轮 [tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex] 的转向和旋向如图 [tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]所示,若使中间轴受力最小,[tex=1.857x1.286]1VzY8n9el4A9x26c25ECzg==[/tex]画出蜗轮的转向和旋向;[tex=1.857x1.286]q6stUxRkyneRT9AdCNOTIw==[/tex]画出齿轮[tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex]、蜗杆[tex=0.5x1.0]/BQKP5E8YnupUQ2sDg7w1Q==[/tex] 和蜗轮[tex=0.5x1.0]2IRxdDa5OUp8cccgqlpdUA==[/tex] 的受力图。

    • 4

      下列化合物中哪些遇三氯化铁水溶液能发生显色反应? ([tex=0.5x1.0]oYgVDn+QZqcDCRxqEZwM2A==[/tex]) 苯甲酚; ([tex=0.5x1.0]8C7DKsr6nhrfCdsmGxO88g==[/tex])[tex=1.357x1.071]kRhhLMkaKs1gkO9B/YzlqQ==[/tex]萘酚; ([tex=0.5x1.0]/BQKP5E8YnupUQ2sDg7w1Q==[/tex])水杨酸; ([tex=0.5x1.0]2IRxdDa5OUp8cccgqlpdUA==[/tex]) 乙酰丙酮