已知y=(m+2)x的m²+m次方是二次函数,且当x>0,y随x的增大而增大1.求m的值 2.直线y=2x+1与y=(m+2)x的m²+m次方交于A,B两点,求S△AOB
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![已知y=(m+2)x的m²+m次方是二次函数,且当x>0,y随x的增大而增大1.求m的值 2.直线y=2x+1与y=(m+2)x的m²+m次方交于A,B两点,求S△AOB](/uploads/image/z/4034734-70-4.jpg?t=%E5%B7%B2%E7%9F%A5y%3D%28m%2B2%29x%E7%9A%84m%26%23178%3B%2Bm%E6%AC%A1%E6%96%B9%E6%98%AF%E4%BA%8C%E6%AC%A1%E5%87%BD%E6%95%B0%2C%E4%B8%94%E5%BD%93x%3E0%2Cy%E9%9A%8Fx%E7%9A%84%E5%A2%9E%E5%A4%A7%E8%80%8C%E5%A2%9E%E5%A4%A71.%E6%B1%82m%E7%9A%84%E5%80%BC+2.%E7%9B%B4%E7%BA%BFy%3D2x%2B1%E4%B8%8Ey%3D%28m%2B2%29x%E7%9A%84m%26%23178%3B%2Bm%E6%AC%A1%E6%96%B9%E4%BA%A4%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%2C%E6%B1%82S%E2%96%B3AOB)
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已知y=(m+2)x的m²+m次方是二次函数,且当x>0,y随x的增大而增大1.求m的值 2.直线y=2x+1与y=(m+2)x的m²+m次方交于A,B两点,求S△AOB
已知y=(m+2)x的m²+m次方是二次函数,且当x>0,y随x的增大而增大
1.求m的值 2.直线y=2x+1与y=(m+2)x的m²+m次方交于A,B两点,求S△AOB
已知y=(m+2)x的m²+m次方是二次函数,且当x>0,y随x的增大而增大1.求m的值 2.直线y=2x+1与y=(m+2)x的m²+m次方交于A,B两点,求S△AOB
1)由m²+m=2得m=1或m=-2
∵当x>0,y随x的增大而增大
∴m=1
2)直线y=2x+1与二次函数y=3x²的交点是A(1,3),B(-1/3,1/3)
直线y=2x+1与Y轴交点为D(0,1),OD=1,A、B两点到Y轴的距离分别是:1,1/3
∴S△AOB=(1+1/3)×1/2=2/3.