Practice china-gaokao-mathematics questions with answers and explanations.
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There are 5 favourable outcomes out of 9 equally likely outcomes, so P(red)=5/9.
The dot product is 1×2+4×1=6.
Rewrite the value using base 2: 4 = 2^2. Matching exponents gives x = 2.
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Use the circle-area formula A = πr². Substituting r = 6 gives A = π × 6² = 36π.
By Vieta’s formula, the sum of the roots equals the coefficient 15.
aₙ=a₁+(n−1)d=5+(5−1)×1=9.
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The sum is n(n+1)/2=45, so the mean is 45/9.
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There are 4 favourable outcomes out of 7 equally likely outcomes, so P(red)=4/7.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
f′(x)=9x²+14x. Substituting x=1 gives 23.
An antiderivative is 1/2 x²+3x. At x=2, the value is 8.0.
An antiderivative is 4/2 x²+2x. At x=5, the value is 60.0.
