高一数学必修1 对数的运算性质 .ppt

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1、对数的运算性质1）对数的定义：，请同学们回顾一下上节课我们所学习的内容。一般地，如果的b次幂等于N,就是，那么数b叫做以a为底N的对数，记作.2)指数式与对数式的互化3）重要结论用公式①负数与零没有对数；②③对数恒等式，指数的运算性质：M（任意给出）603.14162023150.3567N（任意给出）322.71830.785656.89lgMlgNlgM+lgNlgM-lgNlg（MN）lglgMlgNlg（M+N）lg（M-N）M（任意给出）603.14162023150.3567N（任意给出）322.71830.785656.89lgM1.77820.497

2、25.3060-0.4477lgN1.50510.4343-0.10481.7550lgM+lgN3.28330.93155.20121.3073lgM-lgN0.27310.06295.4108-2.2027lg（MN）3.28330.93155.20121.3073lg0.27310.06295.4108-2.2027lgMlgN2.67630.2159-0.5561-0.78561.00441.1448-50.6308-0.2551lg（M+N）1.96380.76795.30601.7578lg（M-N）1.4471-0.37345.3060出错信息56.9

3、0081.35154.1684-25.469756.90081.35154.1684-25.4697M（任意给出）603.14162023150.3567N（任意给出）322.71830.785656.89lgM1.77820.49725.3060-0.4477lgN1.50510.4343-0.10481.7550lgM+lgN3.28330.93155.20121.3073lgM-lgN0.27310.06295.4108-2.2027lg（MN）3.28330.93155.20121.3073lg0.27310.06295.4108-2.2027lgMlgN2

4、.67630.2159-0.5561-0.78561.00441.448-50.6308-0.2551lg（M+N）1.96380.76795.30601.7578lg（M-N）1.4471-0.37345.3060出错信息56.90081.35154.1684-25.469756.90081.35154.1684-25.4697M（任意给出）603.14162023150.3567N（任意给出）322.71830.785656.89lgM1.77820.49725.3060-0.4477lgN1.50510.4343-0.10481.7550lgM+lgN3.28

5、330.93155.20121.3073lgM-lgN0.27310.06295.4108-2.2027lg（MN）3.28330.93155.20121.3073lg0.27310.06295.4108-2.2027lgMlgN2.67630.2159-0.5561-0.78561.00441.448-50.6308-0.2551lg（M+N）1.96380.76795.30601.7578lg（M-N）1.4471-0.37345.3060出错信息56.90081.35154.1684-25.469756.90081.35154.1684-25.4697M（任意

6、给出）603.14162023150.3567N（任意给出）322.71830.785656.89lgM1.77820.49725.3060-0.4477lgN1.50510.4343-0.10481.7550lgM+lgN3.28330.93155.20121.3073lgM-lgN0.27310.06295.4108-2.2027lg（MN）3.28330.93155.20121.3073lg0.27310.06295.4108-2.2027lgMlgN2.67630.2159-0.5561-0.78561.00441.448-50.6308-0.2551lg（

7、M+N）1.96380.76795.30601.7578lg（M-N）1.4471-0.37345.3060出错信息56.90081.35154.1684-25.469756.90081.35154.1684-25.4697M（任意给出）603.14162023150.3567N（任意给出）322.71830.785656.89lgM1.77820.49725.3060-0.4477lgN1.50510.4343-0.10481.7550lgM+lgN3.28330.93155.20121.3073lgM-lgN0.27310.06295.4108-2.2027