举一反三
- 下列各组量子数中，哪一组可以描述原子中电子的状态？ A: `n=2,l=2,m_{l}=0,m_{s}=\frac{1}{2}` B: `n=3,l=1,m_{l}=-1,m_{s}=-\frac{1}{2}` C: `n=1,l=2,m_{l}=1,m_{s}=\frac{1}{2}` D: `n=1,l=0,m_{l}=1,m_{s}=-\frac{1}{2}`
- \(已知曲线弧L:y=\sqrt{1-x^2}(0\le x\le 1).则\int_{L}xyds=(\,)\) A: \[1\] B: \[\frac{1}{2}\] C: \[\frac{1}{3}\] D: \[\frac{1}{4}\]
- For the integral $\int_0^{+\infty}\frac{dx}{(x^2+p^2)(x^2+q^2)}$, which of the following statements are CORRECT? A: $\frac{1}{q^2-p^2}[\frac{1}{p}-\frac{1}{q}]\frac{\pi}{2},p>0 \ q>0;$ B: $\frac{1}{q^2-p^2}[\frac{1}{q}+\frac{1}{p}]\frac{\pi}{2}, -p>0 \ -q>0;$ C: $\frac{1}{q^2-p^2}[\frac{1}{p}-\frac{1}{q}]\frac{\pi}{2}, p>0 \ -q>0;$ D: $\frac{1}{p^2-q^2}[\frac{1}{q}+\frac{1}{p}]\frac{\pi}{2}, -p>0 \ q>0.$
- \(已知L为抛物线y^2=x上从点A(1,-1)到点B(1,1)的一段弧,则\int_{L}xyds=(\,)\) A: \[\frac{4}{5}\] B: \[\frac{3}{5}\] C: \[\frac{2}{5}\] D: \[\frac{1}{5}\]
- 如图所示，电荷\(-\)Q 均匀分布在半径为R、长为L的圆弧上，圆弧的两端有一小空隙，空隙长为\(\Delta\)L(\(\Delta\)L< A: \(\frac{-Q\Delta L}{4\pi\varepsilon_0R^2L} \vec i\), \(\frac{-Q}{4\pi\varepsilon_0R}\) B: \(\frac{-Q\Delta L}{8\pi\varepsilon_0R^3} \vec i\), \(\frac{-Q}{4\pi\varepsilon_0R}\) C: \(\frac{Q\Delta L}{4\pi\varepsilon_0R^2L} \vec i\), \(\frac{Q}{4\pi\varepsilon_0R}\) D: \(\frac{-Q\Delta L}{4\pi\varepsilon_0R^2L} \vec i\), \(\frac{-Q\Delta L}{4\pi\varepsilon_0RL}\)
内容
- 0
(10). 已知在5重贝努里试验中成功的次数 \( X \) 满足 \( P\{X=1\}=P\{X=2\} \)，则概率 \( P\{X=4\}= \)（ ）。 A: \(1- C_4^5 (\frac{1}{3})^4(\frac{2}{3}) \) B: \( C_5^4 (\frac{1}{3})^2(\frac{2}{3})^3 \) C: \( C_5^4 (\frac{1}{3})^4(\frac{2}{3})^4 \) D: \( C_5^4 (\frac{1}{3})^4(\frac{2}{3}) \)
- 1
Solve $\int_{-\frac{1}{2}}^1{1-x^2}dx=$? A: $\frac{\pi}{3}+\frac{\sqrt{3}}{8}$. B: $\frac{\pi}{2}$. C: $\frac{\pi}{6}+\frac{\sqrt{3}}{4}$. D: $\frac{\pi}{4}$.
- 2
将函数\(f(x)=\sin^4 x\)展开成Fourier级数为 ____ . A: \(f(x) = \frac{3}{8}-\frac{1}{2}\cos 2x +\frac{1}{8}cos 4x\) B: \(f(x) = \frac{1}{4}-\frac{1}{2}\cos x +\frac{3}{8}cos 4x\) C: \(f(x) = \frac{1}{4}-\frac{1}{2}\sin 2x -\frac{3}{8}cos 4x\) D: \(f(x) = \frac{3}{8}-\frac{1}{2}\sin x -\frac{1}{8}cos 4x\)
- 3
（2）在深度负反馈条件下，下图所示电路的电压放大倍数为_____。 A: $\left( 1+ \frac{R_4}{R_5}\right) \cdot \frac{{R_6}//{R_{\rm L}}}{R_1}$ B: $\left( 1+ \frac{R_4}{R_5} \right) \cdot \frac{R_6}{R_1}$ C: $\frac{{R_6}//{R_{\rm L}}}{R_1}$ D: $\frac{R_4}{R_5} \cdot \frac{{R_6}//{R_{\rm L}}}{R_1} $
- 4
设`\n`阶方阵`\A`满足`\|A| = 2`，则`\|A^TA| = ,|A^{ - 1}| = ,| A^ ** | = ,| (A^ ** )^ ** | = ,|(A^ ** )^{ - 1} + A| = ,| A^{ - 1}(A^ ** + A^{ - 1})A| = `分别等于（ ） A: \[4,\frac{1}{2},{2^{n - 1}},{2^{{{(n - 1)}^2}}},2{(\frac{3}{2})^n},\frac{{{3^n}}}{2}\] B: \[2,\frac{1}{2},{2^{n - 1}},{2^{{{(n + 1)}^2}}},2{(\frac{3}{2})^n},\frac{{{3^n}}}{2}\] C: \[4,\frac{1}{2},{2^{n + 1}},{2^{{{(n - 1)}^2}}},2{(\frac{3}{2})^{n - 1}},\frac{{{3^n}}}{2}\] D: \[2,\frac{1}{2},{2^{n - 1}},{2^{{{(n - 1)}^2}}},2{(\frac{3}{2})^{n - 1}},\frac{{{3^n}}}{2}\]