江苏省泰州市高中数学第3章指数函数、对数函数和幂函数3.2.1对数(二)对数的运算性质导学案(无答案)苏教版必修1.doc

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江苏省泰州市高中数学第3章指数函数、对数函数和幂函数3.2.1对数(二)对数的运算性质导学案(无答案)苏教版必修1.doc_第1页
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13.2.1 对数(二)对数的运算性质一、 【学习目标】1.掌握积、商、幂的对数运算性质,理解其推导过程和成立条件.2.掌握换底公式及其推论.3.能熟练运用对数的运算性质进行化简求值二、 【自学要点】1. 对数运算性质一般地,如果 a0,且 a1, M0, N0,那么(1)loga(MN)_;(2)loga _;MN(3)logaMn _(nR)2. 换底公式三、 【尝试完成】判断下列各题的正误:1log 2x22log 2x.( )2log a(2)(3)log a(2)log a(3)( )3log aMlogaNlog a(M N)( )4log x2 .( )1log2x四、 【合作探究】1计算:(1)log 345log 35;(2)log2(2345);(3) ;lg27 lg 8 lg 1 000lg 1.2(4)log29log38.2化简 l oga .x2y3z3. 已知 log189 a,18b5,求 log36452五、 【当堂巩固】1计算:(1)2log 63log 64;(2)(lg 25lg )120;14(3)log43log98;(4)log2.56.25ln 13.6.e2已知 y0,化简 loga .xyz3已知 log23 a,log 37 b,用 a, b 表示 log4256.六、 【课堂小结】:七、 【教学反思】:

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