西南大学[0464]高等几何18春在线作业
04641、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441ac087dd_OUL"/>
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参考答案：<imgsrc='http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441ac17ecd_OUL'；
2、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441abc7a08_OUL"/>
A.<imgsrc='http://fs.eduwest.com/filesys/image.jsp?fc=00quoSm2778cbd2_14452719cd0_OUL'
B.<imgsrc='http://fs.eduwest.com/filesys/image.jsp?fc=00quoSm2778cbd2_1445271d952_OUL'
C.<imgsrc='http://fs.eduwest.com/filesys/image.jsp?fc=00quoSm2778cbd2_14452720122_OUL'
D.<imgsrc='http://fs.eduwest.com/filesys/image.jsp?fc=00quoSm2778cbd2_144527223d5_OUL'
参考答案：B.<imgsrc='http://fs.eduwest.com/filesys/image.jsp?fc=00quoSm2778cbd2_1445271d952_OUL'；
3、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441ab52c1b_OUL"/>
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参考答案：<imgsrc='http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441ab6ad2d_OUL'；
4、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441aaf2a44_OUL"/>
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5、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441aa8b8fc_OUL"/>
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6、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441ae9882a_OUL"/>
7、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441ae3b0df_OUL"
8、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441adc0dc1_OUL"/>
9、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441ad69bc3_OUL"/>
10、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441acd60da_OUL"/>
11、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441acb336f_OUL"/>
12、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441ac92b67_OUL"/>
13、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441afac20f_OUL"/>
14、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441af0a9e7_OUL"/>
15、从原点向圆（x－2）2+(y－2)2=1作切线t1,t2。试求x轴，y轴，t1,t2顺这次序的交比.
16、求二次曲线xy+x+y=0的渐近线方程
17、求二次曲线xy+x+y=0的渐近线方程.
18、已知二阶曲线（C）：(1)求点关于曲线的极线(2)求直线关于曲线的极点.3.docx</a>
19、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441b195ef1_OUL"/>
20、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441b06097f_OUL"/>
21、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441b026dad_OUL"/>
22、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441aff54a4_OUL"/>
23、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441a95e760_OUL"/>
24、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441a935e26_OUL"/>
25、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441b149caf_OUL"/>
26、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441b0f7aaa_OUL"/>
27、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441a9d09b9_OUL"/>
28、<imgsrc="http://fs.eduwest.com/filesys/image.jsp?fc=00quoSr2778cbd2_1441a98e658_OUL"/>
29、在二维射影坐标系下，求直线A1E，A2E，A3E的方程和坐标。
30、求下列各线坐标所表示直线的方程：（1）(2)
31、求（1）二阶曲线<imgwidth="265"height="47"src="data:image/png;base64,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"/>的切线方程（2）二级曲线<imgwidth="128"height="25"src="data:image/png;base64,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"/>在直线L上的切点方程
32、经过A(-3，2)和B(6，1)两点的直线被直线x+3y-6=0截于P点，求简比(ABP).
33、求二次曲线xy+x+y=0的渐近线方程
34、设点A（3，1，2），B（3，-1，0）的联线与圆x2</sup>+y2</sup>－5x－7y＋6=0相交于两点C和D，求交点C，D及交比（AB，CD）。
35、证明巴卜斯定理：设A1,B1,C1三点在一直线上,A2,B2,C2三点在另一直线上,B1C2与B2C1的交点为L,C1A2与C2A1的交点为M,A1B2与A2B1的交点为N,证明:L,M,N三点共线.
36、试证四直线2x－y+1=0,3x+y－2=0,7x－y=0,5x－1=0共点，并顺这次序求其交比
37、已知二阶曲线（C）：求点<imgwidth="56"height="21"src="data:image/png;base64,R0lGODlhOAAVAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwAzAA4AhAAAAAAAAB0AAB0AHQAAHQAAMx0AMgAcSB0dSAAzWh1GbDMAADIAHTIAMjNbgEgcAEceM1ozAFozHUhZf11/f0huf2xGHX9ZSH9/XW5/WX9uSGaIiIBbM4iIZgECAwECAwWnICACQVkWo9iIz5G+wFLCaQusNCCMz8ihsYArBxkFcrLRIAcUAXEiyzDHS1CnBppVFBkpXlMqoJuzvLajxchyBDBgYbE4nPWZAsAfXC5CUM0pailxTi9SfBJyYQtfIoKGTSOEhnKAaSlLNJEik3xggSlofJ0AHHebI2QjdQIlk6pBAQQiAk1sd1a1gSWzABaiYm9iFXIXnseZMAvAymILDscjUNHUACEAOw=="/>关于曲线的极线求直线<imgwidth="112"height="24"src="data:image/png;base64,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"/>关于曲线的极点</li>
38、求点（5，1，7）关于二阶曲线<imgwidth="272"height="25"src="data:image/png;base64,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"/>的极线
39、下列概念，哪些是仿射的，哪些是欧氏的？①非平行线段的相等；②不垂直的直线；③四边形；④梯形；⑤菱形；⑥平行移动；⑦关于点的对称；⑧关于直线的对称；⑨绕点的旋转；⑩面积的相等。
40、求直线与二点,之联线的交点坐标.
41、从原点向圆（x－2）2</sup>+(y－2)2</sup>=1作切线t1,t2。试求x轴，y轴，t1,t2顺这次序的交比。
42、若有两个坐标系，同以△A1A2A3为坐标三角形，但单位点不同，那么两种坐标间的转换式为何？
43、求通过两直线<imgwidth="115"height="21"src="data:image/png;base64,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"/>交点且属于二级曲线<imgwidth="129"height="25"src="data:image/png;base64,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"/>的直线
44、写出下列点的齐次坐标（1）（2,0），（0，2），（1，5）;（2）2x+4y+1=0的无穷远点.
45、一直线上点的射影变换是x′=<imgwidth="43"height="37"src="data:image/png;base64,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"/>，则其不变点是
46、证明双曲线：<imgwidth="67"height="41"src="data:image/png;base64,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"/>的两条以λ，λ'为斜率的直径成为共轭的条件是λλ'=<imgwidth="23"height="44"src="data:image/png;base64,R0lGODlhFwAsAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAARACUAhAAAAAAAAB0AAB0AHQAAHQAAMx0AMgAcSAAzWh1GbDMAADIAMjNdXTNbgEgcAFozHVozAEZGM1tISFlZf1l/WV1/f0huf2xGHW5GRn9/XX9uSGaIiIBbM4iIZgECAwECAwVrICCOpBKQaCouaitaqXOmkptyLmuTOHkFwEYKwjAddgBFQSRAlpBC0WCnA0AQth7gstxBgFineEwum8/AtHqdPrtMCXLV+XA7o86ws20fBQgRSA5hCnE2eg47XSIGNhAoei2EMy4cQEtKLiEAOw=="/>
47、设两点列同底,求一射影对应0,1,<imgwidth="16"height="13"src="data:image/png;base64,R0lGODlhEAANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAgALAAcAhAAAAAAAAAAAHR0AAAAAMwAcSB0zWgAzWh1GbDIdADQdNDQ0NDNGbjNbgEgdHVozAFozHUZGbkhuf11/f2xGHW5GM25GRn9uSH9/XWaIiIBbM4iIZgECAwECAwECAwECAwUfIEAFAnANQdAALKskRSuzwTzHs9QSdlsfM03KpwKEAAA7"/>分别变为1,<imgwidth="16"height="13"src="data:image/png;base64,R0lGODlhEAANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAgALAAcAhAAAAAAAAAAAHR0AAAAAMwAcSB0zWgAzWh1GbDIdADQdNDQ0NDNGbjNbgEgdHVozAFozHUZGbkhuf11/f2xGHW5GM25GRn9uSH9/XWaIiIBbM4iIZgECAwECAwECAwECAwUfIEAFAnANQdAALKskRSuzwTzHs9QSdlsfM03KpwKEAAA7"/>,0.
48、(1)求二次曲线x2</sup>+3xy-4y2</sup>+2x－10y=0的中心与渐近线。(2)求二阶曲线<imgwidth="273"height="25"src="data:image/png;base64,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"/>的过点<imgwidth="51"height="21"src="data:image/png;base64,R0lGODlhMwAVAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAwAvAA4AhAAAAAAAAAAAHR0AHR0AAAAAMx0AMgAcSAAzWh1GbDMAADIAHTIAMjIyADNbgEgcAEgdHVozAEZfRkhuf11/f2xGHX9ZSH9/XW5/WX9uSGaIiIBbM4iIZgECAwECAwECAwWdICCOwmiajPgcp8q2K5C2YhQktFiISkD3L1NvNMgxGsHTbJQcVZrMkYGGK7Uip0oOAAVoTYgThIc7LVrdZy45HW1Gkd1J7tymT4qtz1ShR1tqNEkKZQAEAYiIYSZ+XnY0XyN5OXFzaGuYkluGZidYmZ4nbYdWIocBSYU9ASUEcqutr4hWFYubZhNbuS0Wt74nRS0KtkLEkg6/yco0IQA7"/>的直径及其共轭直径.
49、求射影变换
50、设共线四点<imgwidth="67"height="23"src="data:image/png;base64,R0lGODlhQwAXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABQA+AA8AhAAAAAAAAB0AAB0AHQAAHQAAMx0AMgAcSB0dSAAzWh0zWh1GbDMAADIAHTIAMjNbgEgcAEceM1ozAFozHUhZf1l/WV1/f0huf2xGHX9ZSH9/XX9uSGaIiIBbM4BuboiIZgXCICB2QVkWYqqmTPms4gHPahukDg0IKSSvKFEOgAmyAj/dKpK6iQY0Y1GpasySVEBmlUgZYJKuSIIFLLIpTBk95q4YL5EzZYVtdGs2IA7YfFUmAUYpgyIYJzAYejAIbyoSVIWAVzOBJisTMAxnIps6UzQQnGl5VIqaKlAqEIOSKZAwpTodKXcscWEwTHSLZIsAgYN/AiVUsE3FIhsCKDYEFzuuaZZiRFm7vL/aMEO/qjQM1TXbAHDXM93k6jQSSOvvKyEAOw=="/>，<imgwidth="57"height="23"src="data:image/png;base64,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"/>，<imgwidth="80"height="24"src="data:image/png;base64,R0lGODlhUAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABQBLAA8AhAAAAAAAAB0AAB0AHQAAMx0AMgAcSB0dSAAzWh0zWh1GbDMAADIAHTIAMjMeRzNbgEgcAEceM1ozAFozHVtISEhZf11/f0huf2xGHX9ZSH9/XX9uSGaIiIBbM4BuboiIZgXZICB2QVkSYqo26VKqcNyWj2yLbnCnQgoZMpQoktLtYESR8ZhiiYQDmxCAmTZTGRiCmbr4uLuNTLIVSYAqyU0NjpXbokQK88bVlDGG13aHAyB+IgcwBTAmAVYpiSqDgQCNcCcqC2lHVTYTY4cmdQB7hptLIhgBCi2TpjuLVI6tKoAtqQBRKhsCSx2LHSlicLIVjn2UZp0pDikMMYerN8uOkACFALeivDCypIdlAsxFhzzdACQlaCnFMBIBdcmu7TtOfhsDnzIL50zDfvlMFDHw7gD/rXkBsCCXEAA7"/>，<imgwidth="80"height="23"src="data:image/png;base64,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"/>，求解:因为<imgwidth="79"height="24"src="data:image/png;base64,R0lGODlhTwAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABQBLAA8AhAAAAAAAAB0AAB0AHQAAMwAcSAAzWh1GbDMAADIAMjMeRzNbgEgcAEceM1ozAFozHVtISEhZf11/f0huf2xGHW5GRn9uSH9/XWaIiIBbM4BuboiIZgECAwECAwECAwECAwWwICBmQVkSYqqu7EqaAdrOLRzTQsoUdN/mop1vCAQIWzIAJTn0JZdNWobJTDkMVl60d81uW12RQ7tCLFKBb8+MVrMQKUrgzIJVVw5bCVsz3dUvJzMObk2EQ3l6fCtkNAgHhT6PkS1wQwMrFgJpLIk2iyqYKgx/TRYDE2UBkGKgKgqUYSoNkbIrCSKbnJmUupQruo0pDz55rr8itMjLzM0sdD4QzsnTAMd4JdV5wr8mACEAOw=="/>,<imgwidth="87"height="23"src="data:image/png;base64,R0lGODlhVwAXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABQBTAA8AhAAAAAAAAB0AAB0AHQAAMwAcSB0dSAAzWh0zWh1GbDMAADIAHTIAMjNbgEgcAEceM1ozAFozHVszM1tISFtuSF1/f0huf2xGHW5GRn9/XX9uSGaIiIBbM4BuboiIZgECAwXGICByQVkSYqqubGuebbwqpfuisZA6heznu96PxUjhVjoRL3a8HIc/zvMJZVlWUhVVBDmkIMKqr/sNi1UIFplrTikaqcD5p0hdAvB5ytCqi+55Kzc/EC8mXiwkJltnMCqKjmp6Ym0xhjUsdwkrlSwKm5N0oTIOM1ADLRoyl3IsGgNXWqMiga+xbgGgAGsziKG8KQ+zfF++K0UAApgrFLPKAW3CZ5Bmz50RUGmz29ykh90q0uAygT7a4wDi6CvGMqrrAK3wcTUhADs="/>,所以<imgwidth="52"height="23"src="data:image/png;base64,R0lGODlhNAAXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABQAvAA8AhAAAAAAAAAAAHR0AHQAAMx0dNAAcSAAzWh1GbDMAADNGbjNbgEgcAEceM1ozHVozAFtISEhIW0hZf0ZGbkhuf11/f0RubmxGHW5GM39/XX9uSG5ugGaIiIBbM4iIZgECAwViICCKiUCNaKqurMisTSvPaxIYrUTv8tU6vCALp7oQhMiRbzUo0B6BqDRwEBJRiUWyNZUqVQwEILJNXkVnAOO4gnapweWIPcIAYuXZ4yrABvI7NgF9MniAh4iAholIUGmMKCEAOw=="/>,<imgwidth="59"height="41"src="data:image/png;base64,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"/>,所求交比<imgwidth="48"height="47"src="data:image/png;base64,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"/>.
51、已知<imgwidth="83"height="21"src="data:image/png;base64,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"/>是共线不同点，如果解:由<imgwidth="95"height="21"src="data:image/png;base64,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"/>得到<imgwidth="91"height="21"src="data:image/png;base64,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"/>,又因为<imgwidth="393"height="44"src="data:image/png;base64,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"/>=<imgwidth="53"height="21"src="data:image/png;base64,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"/>=-2.
52、证明一线段中点是这直线上无穷远点的调和共轭点.
53、已知共线四点A、B、C、D的交比(AB，CD)=2，则(CA，BD)=_______
54、经过A(-3，2，2)，B(3，1，-1)两点的直线的线坐标.
55、写出下列的对偶命题三点共线射影平面上至少有四个点，其中任何三点不共线解：(1)三线共点(2)射影平面上至少有四条直线,其中任何三线不共点.
56、求射影变换<imgwidth="109"height="19"src="data:image/png;base64,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"/>的自对应元素
57、举例我们已经学习过的变换群
58、求射影变换<imgwidth="96"height="75"src="data:image/png;base64,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"/>的不变元素
59、求联接点（1,2,－1）与二直线，之交点的直线方程.
60、求下列直线的齐次线坐标（1）x轴（2）无穷远直线（3）x+4y+1=0.
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