Practice china-gaokao-mathematics questions with answers and explanations.
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Use the circle-area formula A = πr². Substituting r = 9 gives A = π × 9² = 81π.
Percentage=(12/27)×100=44.44.
Subtract 11 from both sides and divide by 3: x = (38-11)/3 = 9.
By Vieta’s formula, the sum of the roots equals the coefficient 12.
aₙ=a₁+(n−1)d=10+(13−1)×3=46.
f′(x)=9x²+4x. Substituting x=4 gives 160.
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Use the circle-area formula A = πr². Substituting r = 8 gives A = π × 8² = 64π.
Percentage=(11/26)×100=42.31.
Subtract 10 from both sides and divide by 2: x = (26-10)/2 = 8.
By Vieta’s formula, the sum of the roots equals the coefficient 17.
aₙ=a₁+(n−1)d=9+(12−1)×2=31.
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The sum is n(n+1)/2=10, so the mean is 10/4.
