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: ${e^{\sin t - 2{t^3}}}(\cos t - 6{t^2})$

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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: ${e^{\sin t - 2{t^3}}}(\cos t - 6{t^2})$

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: $$\left\{ \matrix{ x = {{\sqrt 3 } \over 3}\cos t\cr y = {{\sqrt 3 } \over 3}\cos t \cr z = {{\sqrt 3 } \over 3}\sin t\cr} \right.(0 \le t \le 2\pi )$$

2022-06-09 问题

已知t函数定义如下，下列会输出True的语句是t = lambda x, y, z=0: x + y > z A: print(t(1, 2)) B: print(t(1, 2, 3)) C: print(t(1)) D: print(t(1, 2, 0))

2021-04-14 问题

下列程序运行后，看到的图形（ ?????）。 ?????t=0:pi/6:2*pi;[x,y,z]=cylinder(t, 6);surf(x,y,z)view(0,90);axis equal

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)

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)

2022-06-09 问题

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

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

2021-04-14 问题