过抛物线y^2=2px(p>0)的焦点的直线x-my+m=0与抛物线交与A,B两点,且(三角形)OAB(O为坐标原点)的面积为2根号2,则m^6+m^4=_________________.这步 (yA-yB)^=(yA+yB)^2-4yAyB=4 p^2 m^2-8mp 到1/2*1*|ya-yb|=2根号2 再由此式解
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![过抛物线y^2=2px(p>0)的焦点的直线x-my+m=0与抛物线交与A,B两点,且(三角形)OAB(O为坐标原点)的面积为2根号2,则m^6+m^4=_________________.这步 (yA-yB)^=(yA+yB)^2-4yAyB=4 p^2 m^2-8mp 到1/2*1*|ya-yb|=2根号2 再由此式解](/uploads/image/z/8672181-69-1.jpg?t=%E8%BF%87%E6%8A%9B%E7%89%A9%E7%BA%BFy%5E2%3D2px%28p%3E0%29%E7%9A%84%E7%84%A6%E7%82%B9%E7%9A%84%E7%9B%B4%E7%BA%BFx-my%2Bm%3D0%E4%B8%8E%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%BA%A4%E4%B8%8EA%2CB%E4%B8%A4%E7%82%B9%2C%E4%B8%94%28%E4%B8%89%E8%A7%92%E5%BD%A2%29OAB%28O%E4%B8%BA%E5%9D%90%E6%A0%87%E5%8E%9F%E7%82%B9%29%E7%9A%84%E9%9D%A2%E7%A7%AF%E4%B8%BA2%E6%A0%B9%E5%8F%B72%2C%E5%88%99m%5E6%2Bm%5E4%3D_________________.%E8%BF%99%E6%AD%A5+%28yA-yB%29%5E%3D%28yA%2ByB%29%5E2-4yAyB%3D4+p%5E2+m%5E2-8mp+%E5%88%B01%2F2%2A1%2A%7Cya-yb%7C%3D2%E6%A0%B9%E5%8F%B72+%E5%86%8D%E7%94%B1%E6%AD%A4%E5%BC%8F%E8%A7%A3)
过抛物线y^2=2px(p>0)的焦点的直线x-my+m=0与抛物线交与A,B两点,且(三角形)OAB(O为坐标原点)的面积为2根号2,则m^6+m^4=_________________.这步 (yA-yB)^=(yA+yB)^2-4yAyB=4 p^2 m^2-8mp 到1/2*1*|ya-yb|=2根号2 再由此式解
过抛物线y^2=2px(p>0)的焦点的直线x-my+m=0与抛物线交与A,B两点,且(三角形)OAB(O为坐标原点)的面积为2根号2,则m^6+m^4=_________________.
这步 (yA-yB)^=(yA+yB)^2-4yAyB=4 p^2 m^2-8mp
到
1/2*1*|ya-yb|=2根号2 再由此式解(pm-4)(pm+2)=0
过抛物线y^2=2px(p>0)的焦点的直线x-my+m=0与抛物线交与A,B两点,且(三角形)OAB(O为坐标原点)的面积为2根号2,则m^6+m^4=_________________.这步 (yA-yB)^=(yA+yB)^2-4yAyB=4 p^2 m^2-8mp 到1/2*1*|ya-yb|=2根号2 再由此式解
12.将直线方程与抛物线方程 联系一起 解得Y^2-2pmy+2mp=0 (yA-yB)^=(yA+yB)^2-4yAyB=4 p^2 m^2-8mp .1/2*1*|ya-yb|=2根号2 再由此式解(pm-4)(pm+2)=0 (由P大于0可知m大于0)得 M=4/P 又因为原直线过交点得2p/4=M,p=2M,从而2M^2=4.M^2=2