A: 切线: $2x-y=0$,法线: $x+2y=0$
B: 切线: $2x+y=0$,法线: $x-2y=0$
C: 切线: $x-2y=0$,法线: $2x+y=0$
D: 切线: $x+2y=0$,法线: $2x-y=0$
举一反三
- 【单选题】分段函数: ,下面程序段中正确的是__________。 A. If x < 0 Then y = 0 If x < 1 Then y = 1 If x < 2 Then y = 2 If x >= 2 Then y = 3 B. If x >= 2 Then y = 3 If x >= 1 Then y = 2 If x > 0 Then y = 1 If x < 0 Then y = 0 C. If x < 0 Then y = 0 ElseIf x > 0 Then y = 1 ElseIf x > 1 Then y = 2 Else y = 3 End If D. If x > =2 Then y = 3 ElseIf x > =1 Then y = 2 ElseIf x > =0 Then y = 1 Else y = 0 End If
- 下列方程中( )是微分方程。 A: \( x{y^3} + 2{y^2} + {x^2}y = 0 \) B: \( {y^2} + xy - y = 0 \) C: \( x + {y^2} = 0 \) D: \( dy + ydx = 0 \)
- 下面程序段中正确的是( )。 A: If x<0 Then y=0 If x<1 Then y=1 If x<2 Then y=2 If x>=2 Then y=3 B: If x>=2 Then y=3 If x>1 Then y=2 If x>=0Then y=1 If x>0 Then y=0 C: If x<0 Then y=0 Else If>=0Then y=1 Else y=3 End If D: If x>=2 Then y=3 Else If>=1 Then y=2 Else y=0 End If
- 分段函数:[img=206x91]18037123bea18f3.png[/img],下面程序段中正确的是__________。 A: If x < 0 Then y = 0If x < 1 Then y = 1If x < 2 Then y = 2If x >= 2 Then y = 3 B: If x > =2 Then y = 3ElseIf x > =1 Then y = 2ElseIf x > =0 Then y = 1Else y = 0End If C: If x >= 2 Then y = 3If x >= 1 Then y = 2If x > 0 Then y = 1If x < 0 Then y = 0 D: If x < 0 Then y = 0ElseIf x > 0 Then y = 1ElseIf x > 1 Then y = 2Else y = 3End If E: If x < 0 Then y = 0If 0 <= x <1 Then y = 1If 1 <= x < 2 Then y = 2If x >= 2 Then y = 3
- 求解常微分方程初值问题[img=224x61]1803072f6b2a05a.png[/img]应用的语句是 A: DSolve[2y[x]y"[x]==1+(y'[x])^2,y[0]==1,y'[0]==0,y[x],x B: DSolve[{2y[x]y" [x]==1+(y'[x])^2,y[0]==1,y'[0]==0},y[x],x] C: DSolve[{2y[x]y" [x]==1+(y^' [x])^2;y[0]==1;y'[0]==0},y[x],x] D: DSolve[{2yy"==1+(y^' )^2&&y[0]==1&&y'[0]==0},y[x],x]
内容
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9. $y=\log_x 2$的反函数为 A: $y=2^{1/x},x >0$ B: $y=2^{x},x >0$ C: $y=2^{1/x}, x \neq 0$ D: $y=2^{1/x},x >0, x \neq 1$
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分段函数:[img=203x91]17de5f2f296a7ac.jpg[/img],下面程序段中正确表达的是 。 A: If x >; =2 Then y = 3ElseIf x >; =1 Then y = 2ElseIf x >; =0 Then y = 1Else y = 0End If B: If x <; 0 Then y = 0If x <; 1 Then y = 1If x <; 2 Then y = 2If x >;= 2 Then y = 3 C: If x >;= 2 Then y = 3If x >;= 1 Then y = 2If x >; 0 Then y = 1If x <; 0 Then y = 0 D: If x <; 0 Then y = 0ElseIf x >; 0 Then y = 1ElseIf x >; 1 Then y = 2Else y = 3End If E: If x <; 0 Then y = 0If 0 <;= x <;1 Then y = 1If 1 <;= x <; 2 Then y = 2If x >;= 2 Then y = 3
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4.已知二元函数$z(x,y)$满足方程$\frac{{{\partial }^{2}}z}{\partial x\partial y}=x+y$,并且$z(x,0)=x,z(0,y)={{y}^{2}}$,则$z(x,y)=$( ) A: $\frac{1}{2}({{x}^{2}}y-x{{y}^{2}})+{{y}^{2}}+x$ B: $\frac{1}{2}({{x}^{2}}{{y}^{2}}+xy)+{{y}^{2}}+x$ C: ${{x}^{2}}{{y}^{2}}+{{y}^{2}}+x$ D: $\frac{1}{2}({{x}^{2}}y+x{{y}^{2}})+{{y}^{2}}+x$
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能够完成如下函数计算的程序段是____. A: y=2*x+1;if(x!=0)if(x>0)y=5*x+20;elsey=0; B: if(x>=0)if(x>0)y=5*x+20;elsey=0;elsey=2*x+1; C: y=0;if(x>=0)if(x>0)y=5*x+20;elsey=2*x+1; D: y=2*x+1;if(x>0)y=5*x+20;elsey=0;
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过曲线[img=134x23]1803d342e04c06f.png[/img]上的点(0,1)处的法线方程为 ( ) A: 2x - y + 1 = 0 B: x - 2y + 2 = 0 C: 2x - y - 1 = 0 D: x + 2y - 2 = 0