问题
解答题
已知抛物线y=ax2+bx+c过点(1,1),且在点(2,-1)处与直线y=x-3相切,求a、b、c的值。
答案
解:∵y=ax2+bx+c过点(1,1),
∴a+b+c=1,
∵y′=2ax+b,
∴曲线过点P(2,-1)的切线的斜率为4a+b =1,
又曲线过点(2,-1),
∴4a+2b+c=-1,
由解得
∴a、b、c的值分别为3、-11、9。
已知抛物线y=ax2+bx+c过点(1,1),且在点(2,-1)处与直线y=x-3相切,求a、b、c的值。
解:∵y=ax2+bx+c过点(1,1),
∴a+b+c=1,
∵y′=2ax+b,
∴曲线过点P(2,-1)的切线的斜率为4a+b =1,
又曲线过点(2,-1),
∴4a+2b+c=-1,
由解得
∴a、b、c的值分别为3、-11、9。
My favorite animals are elephants. Elephants are 1 living animals on land. There are two kinds of elephants--African elephants and 2 elephants. African elephants are larger than Indian elephants, and they have 3 ears. Elephants have to eat 4 because they are so big. One elephant can eat between 100 5 1,000 pounds 6 grass in a day! They can live for 60--70 years. There are no bones in the back of 7 feet, only fat. Elephants walk on tiptoe. They can move quietly and walk in the mud 8. Elephants grow tusks. The tusks are large teeth that stick out of ___9__ mouths. Sometimes, hunters kill elephants 10 the tusks. People use the tusks to make beautiful things and piano keys.
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