在0~4π 区间绘制y=5cos(10t+π/3)关系曲线,下述哪个程序正确? A: t=0:4*pi, y=5cos(10t+pi/3) B: t=0:0.1:4π, y=5*cos(10*t+π/3) C: t=0:4π, y=5*cos(10*t+π/3) D: t=0:0.1:4*pi, y=5*cos(10*t+pi/3)

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2022-07-23 问题

在0~4π 区间绘制y=5cos(10t+π/3)关系曲线,下述哪个程序正确? A: t=0:4pi, y=5cos(10t+pi/3) B: t=0:0.1:4π, y=5cos(10t+π/3) C: t=0:4π, y=5cos(10t+π/3) D: t=0:0.1:4pi, y=5cos(10t+pi/3)

2022-06-19 问题

求微分方程[img=269x55]17da6536a9fba07.png[/img]的通解；（） A: (C15sin(2t))/exp(3t) + (C16sin(2t))/exp(3t) B: (C15cos(2t))/exp(3t) - (C16sin(2t))/exp(3t) C: (C15cos(2t))/exp(3t) + (C16cos(2t))/exp(3t) D: (C15cos(2t))/exp(3t) + (C16sin(2t))/exp(3t)

求微分方程[img=269x55]17da6536a9fba07.png[/img]的通解；（） A: (C15*sin(2*t))/exp(3*t) + (C16*sin(2*t))/exp(3*t) B: (C15*cos(2*t))/exp(3*t) - (C16*sin(2*t))/exp(3*t) C: (C15*cos(2*t))/exp(3*t) + (C16*cos(2*t))/exp(3*t) D: (C15*cos(2*t))/exp(3*t) + (C16*sin(2*t))/exp(3*t)

2022-06-04 问题

设$z = {e^{x - 2y}}$，而$x = \sin t$，$y = {t^3}$，则全导数$ { { dz} \over {dt}} = $ A: ${e^{\sin t - {t^3}}}(\cos t - 6{t^2})$ B: ${e^{\sin t - 2{t^3}}}(\sin t - 6{t^2})$ C: ${e^{\cos t - 2{t^3}}}(\cos t - 6{t^2})$ D: ${e^{\sin t - 2{t^3}}}(\cos t - 6{t^2})$

设$z = {e^{x - 2y}}$，而$x = \sin t$，$y = {t^3}$，则全导数$ { { dz} \over {dt}} = $ A: ${e^{\sin t - {t^3}}}(\cos t - 6{t^2})$ B: ${e^{\sin t - 2{t^3}}}(\sin t - 6{t^2})$ C: ${e^{\cos t - 2{t^3}}}(\cos t - 6{t^2})$ D: ${e^{\sin t - 2{t^3}}}(\cos t - 6{t^2})$

2021-04-14 问题

一空间曲线由参数方程x=ty=sin(2t) , -3<t<3z=cos(3tt)表示，绘制这段曲线可以由下列哪组语句完成。? t=-3:0.1:3;x=t;y=sin (2t);z=cos (3t.t);plot3(x, y, z)|t=-3:0.1:3;x=t;y=sin (2t);z=cos (3t*t);plot3(x, y, z)|t=-3:0.1:3;y=sin (2t)；z=cos (3t.t)；plot3 (x, y, z)|t=-3:0.1:3;x=t;y=sin (2t);z=cos (3t.t);plot3(x, y, z, t)

一空间曲线由参数方程x=ty=sin(2t) , -3<t<3z=cos(3t*t)表示，绘制这段曲线可以由下列哪组语句完成。? t=-3:0.1:3;x=t;y=sin (2*t);z=cos (3*t.*t);plot3(x, y, z)|t=-3:0.1:3;x=t;y=sin (2*t);z=cos (3*t*t);plot3(x, y, z)|t=-3:0.1:3;y=sin (2*t)；z=cos (3*t.*t)；plot3 (x, y, z)|t=-3:0.1:3;x=t;y=sin (2*t);z=cos (3*t.*t);plot3(x, y, z, t)

2022-06-05 问题

一空间曲线由参数方程x=t y=sin(2t) , -3<t<3z=cos(3tt)表示，绘制这段曲线可以由下列哪组语句完成。 A: t=-3:0.1:3;x=t;y=sin(2t);z=cos(3t.t);plot3(x, y, z, t) B: t=-3:0.1:3;x=t;y=sin(2t);z=cos(3tt);plot3(x, y, z) C: t=-3:0.1:3;y=sin(2t)；z=cos(3t.t)；plot3(x, y, z) D: t=-3:0.1:3;x=t;y=sin(2t);z=cos(3t.t);plot3(x, y, z) E: x=-3:0.1:3;y=sin(2x);z=cos(3x.x);plot3(x, y, z)

一空间曲线由参数方程x=t y=sin(2t) , -3<t<3z=cos(3t*t)表示，绘制这段曲线可以由下列哪组语句完成。 A: t=-3:0.1:3;x=t;y=sin(2*t);z=cos(3*t.*t);plot3(x, y, z, t) B: t=-3:0.1:3;x=t;y=sin(2*t);z=cos(3*t*t);plot3(x, y, z) C: t=-3:0.1:3;y=sin(2*t)；z=cos(3*t.*t)；plot3(x, y, z) D: t=-3:0.1:3;x=t;y=sin(2*t);z=cos(3*t.*t);plot3(x, y, z) E: x=-3:0.1:3;y=sin(2*x);z=cos(3*x.*x);plot3(x, y, z)

2022-06-14 问题

曲线$\left\{ \matrix{ {x^2} + {y^2} + {z^2} = 9 \cr y = x \cr} \right.$的参数方程为( ). A: $$\left\{ \matrix{ x = \sqrt 3 \cos t \cr y = \sqrt 3 \cos t \cr z = \sqrt 3 \sin t \cr} \right.(0 \le t \le 2\pi )$$ B: $$\left\{ \matrix{ x = {3 \over {\sqrt 2 }}\cos t\cr y = {3 \over {\sqrt 2 }}\cos t \cr z = 3\sin t \cr} \right.(0 \le t \le 2\pi )$$ C: $$\left\{ \matrix{ x = \cos t\cr y = \cos t\cr z = \sin t \cr} \right.(0 \le t \le 2\pi )$$ D: $$\left\{ \matrix{ x = {{\sqrt 3 } \over 3}\cos t\cr y = {{\sqrt 3 } \over 3}\cos t \cr z = {{\sqrt 3 } \over 3}\sin t\cr} \right.(0 \le t \le 2\pi )$$

曲线$\left\{ \matrix{ {x^2} + {y^2} + {z^2} = 9 \cr y = x \cr} \right.$的参数方程为( ). A: $$\left\{ \matrix{ x = \sqrt 3 \cos t \cr y = \sqrt 3 \cos t \cr z = \sqrt 3 \sin t \cr} \right.(0 \le t \le 2\pi )$$ B: $$\left\{ \matrix{ x = {3 \over {\sqrt 2 }}\cos t\cr y = {3 \over {\sqrt 2 }}\cos t \cr z = 3\sin t \cr} \right.(0 \le t \le 2\pi )$$ C: $$\left\{ \matrix{ x = \cos t\cr y = \cos t\cr z = \sin t \cr} \right.(0 \le t \le 2\pi )$$ D: $$\left\{ \matrix{ x = {{\sqrt 3 } \over 3}\cos t\cr y = {{\sqrt 3 } \over 3}\cos t \cr z = {{\sqrt 3 } \over 3}\sin t\cr} \right.(0 \le t \le 2\pi )$$

2022-05-31 问题

已知$ y = {x^3}\cos 2x $，则$ y'' $为（）. A: 0 B: $ 6x\cos 2x{\rm{ + }}12{x^2}\sin 2x - 4{x^3}\cos 2x $ C: $ 6x\cos 2x - 12{x^2}\sin 2x{\rm{ + }}4{x^3}\cos 2x $ D: $ 6x\cos 2x - 12{x^2}\sin 2x - 4{x^3}\cos 2x $

已知$ y = {x^3}\cos 2x $，则$ y'' $为（）. A: 0 B: $ 6x\cos 2x{\rm{ + }}12{x^2}\sin 2x - 4{x^3}\cos 2x $ C: $ 6x\cos 2x - 12{x^2}\sin 2x{\rm{ + }}4{x^3}\cos 2x $ D: $ 6x\cos 2x - 12{x^2}\sin 2x - 4{x^3}\cos 2x $

2022-06-09 问题

设 $z=e^{x-2y}$, 而 $x=\sin t, y=t^3$, 则 $\displaystyle\frac{\mathrm{d}z}{\mathrm{d}t}=$ A: $\displaystyle\cos t+3t^2$ B: $e^{\sin t-2t^3}(\cos t+3t^2)$ C: $\displaystyle\cos t-6t^2$ D: $e^{\sin t-2t^3}(\cos t-6t^2)$

设 $z=e^{x-2y}$, 而 $x=\sin t, y=t^3$, 则 $\displaystyle\frac{\mathrm{d}z}{\mathrm{d}t}=$ A: $\displaystyle\cos t+3t^2$ B: $e^{\sin t-2t^3}(\cos t+3t^2)$ C: $\displaystyle\cos t-6t^2$ D: $e^{\sin t-2t^3}(\cos t-6t^2)$

2022-05-27 问题

(4)$A$矢量的方向余弦(与三个坐标轴的夹角余弦)的大小是： A: $cos\alpha=3/\sqrt{14},cos\beta=-1/\sqrt{14},cos\gamma=3/\sqrt{14}$ B: $cos\alpha=4/\sqrt{14},cos\beta=-1/\sqrt{14},cos\gamma=3/\sqrt{14}$ C: $cos\alpha=2/\sqrt{14},cos\beta=-1/\sqrt{14},cos\gamma=3/\sqrt{14}$ D: $cos\alpha=3/\sqrt{14},cos\beta=9/\sqrt{14},cos\gamma=3/\sqrt{14}$

(4)$A$矢量的方向余弦(与三个坐标轴的夹角余弦)的大小是： A: $cos\alpha=3/\sqrt{14},cos\beta=-1/\sqrt{14},cos\gamma=3/\sqrt{14}$ B: $cos\alpha=4/\sqrt{14},cos\beta=-1/\sqrt{14},cos\gamma=3/\sqrt{14}$ C: $cos\alpha=2/\sqrt{14},cos\beta=-1/\sqrt{14},cos\gamma=3/\sqrt{14}$ D: $cos\alpha=3/\sqrt{14},cos\beta=9/\sqrt{14},cos\gamma=3/\sqrt{14}$

2022-06-19 问题

求微分方程[img=261x61]17da6536c0cca5d.png[/img]的通解；（） A: C18cos(t) - C20sin(t) - C19tcos(t) - C21tsin(t) B: C18cos(t) + C20sin(t) - C19tcos(t) - C21tsin(t) C: C18cos(t) + C20sin(t) + C19tcos(t) + C21tsin(t) D: -C18cos(t) + C20sin(t) + C19tcos(t) + C21tsin(t)

求微分方程[img=261x61]17da6536c0cca5d.png[/img]的通解；（） A: C18*cos(t) - C20*sin(t) - C19*t*cos(t) - C21*t*sin(t) B: C18*cos(t) + C20*sin(t) - C19*t*cos(t) - C21*t*sin(t) C: C18*cos(t) + C20*sin(t) + C19*t*cos(t) + C21*t*sin(t) D: -C18*cos(t) + C20*sin(t) + C19*t*cos(t) + C21*t*sin(t)

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