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2015-2016年高中数学 2.3.1对数课件 苏教版必修1

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2015-2016年高中数学 2.3.1对数课件 苏教版必修122..33对数函数对数函数2.3.12.3.1对对数数题型一题型一指数式与对数式的互化指数式与对数式的互化学习目标学习目标预习导学预习导学典例精析典例精析栏目链接栏目链接例1将下列指数式化为对数式或将对数式化为指数式.(1)53=125;(2)log216=4;(3)log3x=6;(4)14-3=64.分析:根据对数的定义:aN=b⇒logab=N(a>0且a≠1).解析:(1)log5125=3;(2)24=16;(3)(3)6=x;(4)log1464=-3.点评:对数的定义是对数形式和指数形式互化的依据,而指数形式与对数形式的互化又是解决问题的重要手段.学习目标学习目标预习导学预习导学典例精析典例精析栏目链接栏目链接►变式训练1.(1)已知log2(log3x)=1,求x;(2)已知loga2=m,loga3=n,求a2m+n的值;(3)设2a=5b=m,且1a+1b=2,求m.解析:(1)log3x=2,∴x=32=9.(2)∵am=2,an=3,∴a2m=4.∴a2m+n=a2m·an=4×3=12.(3)a=log2m,b=log5m,∴1a+1b=logm2+logm5=logm10=2.∴m2=10.又∵m>0,∴m=10.题型二题型二对数的运算性质对数的运算性质学习目标学习目标预习导学预习导学典例精析典例精析栏目链接栏目链接例2计算:(1)3log510+log50.025;(2)2log5125+3log264;(3)5lg30·13lg0.5.分析:正确运用对数的运算性质来解决.解析:(1)3log510+log50.025=log51000+log50.025=log525=2.(2)2log5125+3log264=2log553+3log226=6+18=24.(3)设5lg30·13lg0.5=x,则lgx=lg5lg30·13lg0.5学习目标学习目标预习导学预习导学典例精析典例精析栏目链接栏目链接=lg5lg30+lg13lg0.5=lg30·lg5+lg0.5·lg13=(1+lg3)·lg5+(lg5-1)·(-lg3)=lg5+lg3=lg15.∴x=15.故5lg30·13lg0.5=15.点评:对数的运算法则要灵活运用、熟练掌握,要注意不要将积、商、幂的对数与对数的积、商、幂混淆.or10xein=l?eimoratrfcdgppPa/dt0gh=wg80efhaaxinmj=d:i:elep6/0aergkt0gAjkJ6gAAAQSR,e944QsS;EaBA/B/ZbAghUA4gqAAAATKN/XZRADDIgAAApER0AAAyAMAABAgAEBAAAAAAAMAAlAAAAAAABnAAMAAAAIgEGAAMAAAAAAEAAAAAADACBAAVAAAAAAAAEMAMEABAMEAAAAAABASAAAbAUAAAApAEUAABAABAAAAaAAArAAEAIEAMIAAAAAAAAABAAAAAAeoAAAAAxEAAUdAAQAAAA0oAAAAAIAyAtBEAAAAApAAAIAARACEIgASAAAAAIAAA5BAAAAAAgAGUGzQGv9ThvdaRAmUWEANANQwigAY9AIMkNoZM3DAjAxx9uyGNlwoi2oOADcTVxA5AAxMADAAcAEwoAANMTCoaOIAAAAA1yKAABBAAAAAQAAAIDACAAQWAAAAADAAAAAAgAAQAQAAEAAAAAGAAAABARAwAMBAoABEAFFRoAAAAAAAAggAwAAAAAQAsAESAAEAgFAwBAAAAAAEAAIAAAAEAABAgAAgAAEABAAAAAAAyAAAHAASAAEBAAAAgAA0hFP2kilBNfUR//FQPQHAAAAMQJADJARGAdJaRv0l1uS5MhAWWhaAFEIIAAAHDgADcBAUA0AGFjNQIAACAAAfAAZAEEG3OUAAAzAdAAAAAAkBAAUAyDlAQA2A1CAFAgSAAAANAAIAAAAAtAAAAAgABAAFAMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAANcAQAAAAEWnAAAAAFAAAQAAAAAAwAAAEd2HAQwAbHcAcGAMAlAMHRAAAAA02AAIHYcVAoYAAFWQrAAHAJAAIGAAEAAJFAAIGYWWAVJAAFoYAAVAdAAAGoAsAAJFAAAcRtZQGLAAAtmRAUbAGEAAFQAJAAGAAAAhZ1QZAAAApWZAMZAHPAAiXUNAAnAc4AAGxlWYAAAA1bGAP1AJQAAAXMAAkFAMwAAHRU2AAAAJYHAQlMJAAAAUQA8gDAkQAADGJUUA8AAGUDMAdMIAAAAUQA8kIAkAA9eHJep0AQ2XlDQAR2IIAhACAhHwAZ2hHtOG4FyxldUkxEdT2AZjFSjClBIQKaXBAAYA5AJNjAA5wAZWA1zDB2AUkkAAbLTMAFAYAATIuAzlO2QAEAdAIAAYAxQCANUNYSMIiAjE5t0NSDRnAAAE4AVAgjAxAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAYAAAAEAAAAEAWWAAQAAAA1AhgiWZozA8AAAVFAAAWAlAaAAAFAAAAAAAAAAAIAAAAAAA5AVgAA4AABYWAAiQAAA+YAAGApAk9oAAihAAAAYAAAAAAAFlWAAeAALkDZ42AAoAwAAPSVUhAAAWGbYAZIL0QGAVdAHzAADLWAA3AcAAmNoA39ajdAyAAALAVAuA6A6d33VuGamLy9cIU0ADjSNALWWoHAhdAVAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAAARAlAAAAlAAMAkA2LFQyTAAAkA0AjcyMNELgA22i0B2sY3sVwIgYbVmCRXHVYNGyWSNd9RIAAAAcAHAFAAAAJggA1k0QllCAyAAQAILRjYV2d0CIGVmsikLgNRTg20MBYE2yXSIWcJyQNgAC0gHHVYlIA3A9AbAANAw1sAAAAAAkAZAAAABAAAAAjAAAAXAAAAAANucgmxlWdyY2UlZClVSuABAZA2DmbZVAl4gVNXEb5MgSUjpa4WRYi2tkN4ax2D5jAAVZAJAlIsUmXAAAAANAFAlAbZApAmAmG9WubGglFl0aIc2ZmEpQZlduzuYQ9XIAAAALAuAAAAAAI2QATAYAxATAAAAMAOAdAdAAAATmllAAAAAAEA+A6AAAABAwAAA+CAQXQJAAQTDxAAMzAgBRAL4W3FAwfAWTAAAXAHWAFABAAAltAFlZI+zAAAAadAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAczAAANASdgAAEwJWABjXAjCVJa2AAACAAoDAABUHFAAwAAAAAkAgAAAAAAjAAABwcEAQgBABAASyLDOAFAWAQgPQABAUCAwIIAagtCAB8AhBAHdAJMleAGLQACAEAAsKAwpwpQsgC3ACAAAAA8AaMJD04ALAG8OAsAADQ0AD2BAsAA4ANBDQAEEswlPVHBA+UBBETVOAEUQ8IJSRkEAAABTYrAZFBASZ4BQobiwGodW8MBpAEAAnQBYuFAFGEHAkoQCAB6Qf0cZeBIAhQMBAQACHyHwsBJAicOCACVAmCAJk8JmoH6IcQACAdQQs2wVqurA1ECyACAKAIwYAjLKCwAALg60MwaA2DY+MDTAEWQAygMADNwD44oLNCcAP4PAAD/Q9MDs4ig6BOTDggkBHCuAlEBQfS7BgJSHEEMEQVjBqQ2AALoBRMEgEEgFwh6ABABRwUPT/NBFwVQW0UnUBEKEkFtFQW2aBgBdUXBgFXWGhYXFFgnQBY5cYMe0rZbmA4BpwBAGaZESwjGGBbw1oGctdHQhQeBZvhB3grG0wcwHwBHcBfTSzHw6hIFIAgCiIGCbL+8ggJHqBYUCgMiBo+CQAUJ5A7lJk6CZjIRJwYIp+8N5AJmC8CCwECQ5a7ggo9KnJhJQC8K6pcqrKgClCBOyCkKgsAAQtRLwwCL8CtLr7CuyIAL2FYXEIMMwpNAx14gkDMEA/kvDCwMM8qDhzNDpcYNA3hjg2MQSaQN4DMwDNgOXL1D03ODuDQkwPD0g7wfmbYO9D1gBJJ4rP65QksBE7EzQEQJhGPD/AMCWLeb+fkEQwDgh0PGRcMkHRjBEREFWMB1E1IDRiEYRqx6uLxjE0SMDMTAEQkxEoxJESORT6DQoMRYGRxtFFUMUoUiYlxFA8PSTBR4FJTJSxUFRJZ4FsmagMWJZVvgFjhyQxVwFXtVhVWFR0fdEGB64X30cZJFYhhYQ+BleGXhWsFIZRj3PGBGWsmGxZlVaroIBYdqBGoko0U7bxqKs2GzsuGxaseIdhlbaGwBCUYE7zc4Rh1Hww1HRx7UMBxkcxHdoH3zsKdCZ7eMPB9HpfpHxhqQQh55evHQYxv/pfhHCgRhQCsFhDwISBgJxSaUzqEB1igHIwIIS8zjViCOIMKIZKiq3SIcj78iU8iCIgICNJgklSycSU4lC0JlfJEmQfJXJoyrWfHSxJsm3bCDSd6nycJnto8ZKJgogco6XNpKQgQqiNpnSnIBN4spoKsSKiSqWzkKipsK5GYsSoLBSw4azdErXKQyCiw9tuLszwW6La44vLugiutL4ks925Qa1JELvS3SCskFMDIbxxEjYwMCNUH+Mxy/uiMoDKyj3NDxMCzse8zuNQbTMtTKNySz0NGgDPYZjXjuNu1kgc2cNcNjNYDV1dz3N95waEJODQlUOAboQU5/FgjIO+z2wT1wOjn4j35OzJxvP0K0+g8lyraqO4jiQzsQuP7z68gY/T3hiPkPuA9PT+6g/oAW496jDQAIEIsaCEDySQ0Qe5JQkBGnCpMG9Ar6klMRVTEJVEWRaIORRUDwdkQ5DkQG1RZinEF3dgHtkEjRXYFSEU18tEc1G0RJtSmwp3IqRER5LNk9wMtTS4pKsD0HBuJfqkL0SpSTkVwPkUc+Q63TS3Nib09pJC1UT1OBTBTT5ZUxRxF19lIxSltURBULTx1UMqtlQnTdSV9UXTFdVXCW1JVVjVEXPvVaRhFbg2pZWpbBa1BqGllhL+9tYWVZeW1aM9hWSpcXnXVdVym1l0h551ZbaWxVXFVeIvwXt4dFDY29shYgqmUfXAFFHkV1PolYi288mBrTZ01llZklGTjYPENXwjnnLk1Zm2pGmDfmsZUnNx9ola12azmoaknbpkphkjmmFv2IaWrBSdsrb932b0Wrbq42tm/t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