gaokao 2019 Q6

gaokao · China · national-III-science 5 marks Tangents, normals and gradients Determine unknown parameters from tangent conditions

The tangent line to the curve $y = a \mathrm { e } ^ { x } + x \ln x$ at the point $( 1 , a \mathrm { e } )$ has equation $y = 2 x + b$ . Then
A. $a = \mathrm { e } , b = - 1$
B. $a = \mathrm { e } , b = 1$
C. $a = \mathrm { e } ^ { - 1 } , b = 1$
D. $a = \mathrm { e } ^ { - 1 } , b = - 1$

The tangent line to the curve $y = a \mathrm { e } ^ { x } + x \ln x$ at the point $( 1 , a \mathrm { e } )$ has equation $y = 2 x + b$ . Then

A. $a = \mathrm { e } , b = - 1$

B. $a = \mathrm { e } , b = 1$

C. $a = \mathrm { e } ^ { - 1 } , b = 1$

D. $a = \mathrm { e } ^ { - 1 } , b = - 1$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q23