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高中数学必修 第一册(648题)
A.\({e}^{0}=1\) 与 \(\ln 1 = 0\)
B.\(\log-{3} {9}=2\) 与 \({\rm{ }}{9^{\frac{1}{2}}} = 3\)
C.\({8}^{\frac {1} {3}}=2\) 与\(\log-{8} {2}=\frac {1} {3}\)
D.\(\log-{7} {7}=1\) 与 \(与{7^1} = 7\)
参考答案：ACD
参考答案：\(-3\)
参考答案：\(\frac{{\sqrt 2 }}{4}\)
参考答案：\( - 1\)
A.\( -4\)
B.\( -2\)
C.\( \frac{2}{3}\)
D.\( \frac{4}{3}\)
参考答案：B
参考答案：由已知可得：\(b = {\log _{18}}5,{\rm{ }}a = {\log _{18}}9\)
则 \({\log _{36}}45 = \frac{{{{\log }_{18}}45}}{{{{\log }_{18}}36}} = \frac{{{{\log }_{18}}5 + {{\log }_{18}}9}}{{{{\log }_{18}}18 + {{\log }_{18}}\frac{{18}}{9}}}\)\({\rm{ = }}\frac{{a + b}}{{2 - a}}\)
已知
A.\( \frac{1}{2}\)
B.\( \frac{\sqrt{2}}{2}\)
C.\( \sqrt{2}\)
D.2
参考答案：ABC
参考答案：\( - 1\)
A.\( \frac{3}{2}\)倍
B.\( {10}^{\frac{3}{2}}\)倍
C.100倍
D.\(\lg {\frac {3} {2}}\)倍
参考答案：C
参考答案：\(3\)
A.\( \sqrt{3}\)
B.\( \sqrt{2}\)
C.\( \sqrt{2}\)或 \( - \sqrt 2 \)
D.\( \sqrt{3}\)或 \(\sqrt 2 \)
参考答案：B
参考答案：\( - 1\)
A.\({\mathrm{log}}-{a}x\cdot {\mathrm{log}}-{a}y={\mathrm{log}}-{a}\left ( {xy} \right )\)
B.\( \frac{{\mathrm{log}}-{a}x}{{\mathrm{log}}-{a}y}={\mathrm{log}}-{a}\frac{x}{y}\)
C.\( {\mathrm{log}}-{a}{x}^{2}=2{\mathrm{log}}-{a}x\)
D.\( {\mathrm{log}}-{a}x-{\mathrm{log}}-{a}y={\mathrm{log}}-{a}\frac{x}{y}\)
参考答案：ABC
A.\( ({m}^{2},2n)\)
B.\( (10m,10n)\)
C.\( (m+10,n+1)\)
D.\( (\frac{m}{10},n+1)\)
参考答案：A
A.\( (-\mathrm{1,3})\)
B.\( (-\mathrm{3,1})\)
C.\( (-\infty ,-3)\cup (1,+\infty )\)
D.\( (-\infty ,-1)\cup (3,+\infty )\)
参考答案：D
A.\( -2\)
B.\( 2\)
C.\( \frac{1}{2}\)
D.\( -\frac{1}{2}\)
参考答案：B
参考答案：①②
参考答案：\( (-4,-3)\cup (-3,-2]\cup \left(\mathrm{2,3}\right)\)