Practice china-gaokao-mathematics questions with answers and explanations.
By Vieta’s formula, the sum of the roots equals the coefficient 9.
aₙ=a₁+(n−1)d=3+(15−1)×5=73.
An antiderivative is 2/2 x²+5x. At x=3, the value is 24.0.
The dot product is 2×2+6×4=28.
Rewrite the value using base 3: 27 = 3^3. Matching exponents gives x = 3.
Percentage=(13/28)×100=46.43.
Subtract 3 from both sides and divide by 4: x = (43-3)/4 = 10.
By Vieta’s formula, the sum of the roots equals the coefficient 6.
aₙ=a₁+(n−1)d=2+(14−1)×4=54.
Choose an option to check your answer.
The sum is n(n+1)/2=21, so the mean is 21/6.
Choose an option to check your answer.
There are 6 favourable outcomes out of 12 equally likely outcomes, so P(red)=6/12.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
