抛物线y=x^2上(1,1)点处的切线方程为（）
A: y-1=2(x-1)
B: y-1=2x(x-1)
C: y-1=-2(x-1)
D: y-1=x^2(x-1)
A: y-1=2(x-1)
B: y-1=2x(x-1)
C: y-1=-2(x-1)
D: y-1=x^2(x-1)
举一反三
- 已知齐次方程$(x-1){{y}^{''}}-x{{y}^{'}}+y=0$的通解为$Y={{C}_{1}}x+{{C}_{2}}{{e}^{x}}$，则方程$(x-1){{y}^{''}}-x{{y}^{'}}+y={{(x-1)}^{2}}$的通解是( ) A: ${{\text{C}}_{1}}x+{{\text{C}}_{2}}{{e}^{x}}-({{x}^{2}}+1)$ B: ${{\text{C}}_{1}}x+{{\text{C}}_{2}}{{e}^{x}}-({{x}^{3}}+1)$ C: ${{\text{C}}_{1}}x+{{\text{C}}_{2}}{{e}^{x}}-{{x}^{2}}$ D: ${{\text{C}}_{1}}x+{{\text{C}}_{2}}{{e}^{x}}-{{x}^{2}}+1$
- 函数$f(x,y)=\sqrt{1+{{y}^{2}}}\cos x$在点$(0,1)$处的1次Taylor多项式为 A: $\sqrt{2}-\frac{1}{\sqrt{2}}(y-1)$ B: $\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{2}(}y-1)$ C: $2\sqrt{2}+\frac{1}{\sqrt{2}}(y-1)$ D: $\sqrt{2}+\frac{1}{\sqrt{2}}(y-1)$
- 曲线y=1/(x-1)+2的渐近线为y=2和x=1。（）
- 【单选题】用if语句表示如下分段函数,不正确的是: -2x+3 x<1 y= x≥1 A. if (x<1): y=x*x-2*x+3 else: y=math.sqrt(x-1) B. if(x<1):y=x*x-2*x+3 y=math.sqrt(x-1) C. y=x*x-2*x+3 if(x>=1): y=math.sgrt(x-1) D. if(x<1): y=x*x-2*x+ 3 if (x>=1): y=math.sqrt(x-1)
- 【单选题】对任意实数x 1 , y 1 , x 2 , y 2 , x 1 < x 2 , y 1 < y 2 , 分布函数P{x 1 <X≤x 2 , y 1 <Y≤y 2 }=? A. F(x 2 , y 2 )+ F(x 1 , y 1 )+ F(x 1 , y 2 )+ F(x 2 , y 1 ) B. F(x 2 , y 2 )- F(x 1 , y 1 )+ F(x 1 , y 2 )- F(x 2 , y 1 ) C. F(x 2 , y 2 )+ F(x 1 , y 1 )- F(x 1 , y 2 )- F(x 2 , y 1 ) D. F(x 2 , y 2 )- F(x 1 , y 1 )- F(x 1 , y 2 )+ F(x 2 , y 1 )