已知抛物线C1:y=x²-(m-2)x+1/2m²+2与C2:y=x²+2mx+n具有以下特征:①都与x轴有交点;②与y轴交与统一点(1)求m、n的值;(2)试写出x为何值时,y1>y2?(3)试描述抛物线c1通过怎样的变换
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![已知抛物线C1:y=x²-(m-2)x+1/2m²+2与C2:y=x²+2mx+n具有以下特征:①都与x轴有交点;②与y轴交与统一点(1)求m、n的值;(2)试写出x为何值时,y1>y2?(3)试描述抛物线c1通过怎样的变换](/uploads/image/z/8512223-23-3.jpg?t=%E5%B7%B2%E7%9F%A5%E6%8A%9B%E7%89%A9%E7%BA%BFC1%3Ay%3Dx%26%23178%3B-%28m-2%29x%2B1%2F2m%26%23178%3B%2B2%E4%B8%8EC2%3Ay%3Dx%26%23178%3B%2B2mx%2Bn%E5%85%B7%E6%9C%89%E4%BB%A5%E4%B8%8B%E7%89%B9%E5%BE%81%EF%BC%9A%E2%91%A0%E9%83%BD%E4%B8%8Ex%E8%BD%B4%E6%9C%89%E4%BA%A4%E7%82%B9%EF%BC%9B%E2%91%A1%E4%B8%8Ey%E8%BD%B4%E4%BA%A4%E4%B8%8E%E7%BB%9F%E4%B8%80%E7%82%B9%EF%BC%881%EF%BC%89%E6%B1%82m%E3%80%81n%E7%9A%84%E5%80%BC%EF%BC%9B%EF%BC%882%EF%BC%89%E8%AF%95%E5%86%99%E5%87%BAx%E4%B8%BA%E4%BD%95%E5%80%BC%E6%97%B6%2Cy1%EF%BC%9Ey2%3F%EF%BC%883%EF%BC%89%E8%AF%95%E6%8F%8F%E8%BF%B0%E6%8A%9B%E7%89%A9%E7%BA%BFc1%E9%80%9A%E8%BF%87%E6%80%8E%E6%A0%B7%E7%9A%84%E5%8F%98%E6%8D%A2)
已知抛物线C1:y=x²-(m-2)x+1/2m²+2与C2:y=x²+2mx+n具有以下特征:①都与x轴有交点;②与y轴交与统一点(1)求m、n的值;(2)试写出x为何值时,y1>y2?(3)试描述抛物线c1通过怎样的变换
已知抛物线C1:y=x²-(m-2)x+1/2m²+2与C2:y=x²+2mx+n具有以下特征:
①都与x轴有交点;②与y轴交与统一点
(1)求m、n的值;
(2)试写出x为何值时,y1>y2?
(3)试描述抛物线c1通过怎样的变换得到抛物线c2?
加速回答!非常急!!!!
已知抛物线C1:y=x²-(m-2)x+1/2m²+2与C2:y=x²+2mx+n具有以下特征:①都与x轴有交点;②与y轴交与统一点(1)求m、n的值;(2)试写出x为何值时,y1>y2?(3)试描述抛物线c1通过怎样的变换
(1)由C1知:
△
=(m+2)^2-4×(1/2m^2+2)
=m^2+4m+4-2m^2-8
=-m^2+4m-4
=-(m-2)^2≥0,
∴m=2.
当x=0时,y=4.
∴当x=0时,n=4;
(2)
令y1>y2时,
x^2-4x+4>x^2+4x+4,
∴x<0.
∴当x<0时,y1>y2;
(3)由C1向左平移4个单位长度得到C2.