A=asin²x+bcos²x,B=acos²x+bsin²x,m=AB,n=ab,p=A²+B²,z=a²+b²则m,n,p,z满足什么关系
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![A=asin²x+bcos²x,B=acos²x+bsin²x,m=AB,n=ab,p=A²+B²,z=a²+b²则m,n,p,z满足什么关系](/uploads/image/z/4316031-63-1.jpg?t=A%3Dasin%26%23178%3Bx%2Bbcos%26%23178%3Bx%2CB%3Dacos%26%23178%3Bx%2Bbsin%26%23178%3Bx%2Cm%3DAB%2Cn%3Dab%2Cp%3DA%26%23178%3B%2BB%26%23178%3B%2Cz%3Da%26%23178%3B%2Bb%26%23178%3B%E5%88%99m%2Cn%2Cp%2Cz%E6%BB%A1%E8%B6%B3%E4%BB%80%E4%B9%88%E5%85%B3%E7%B3%BB)
A=asin²x+bcos²x,B=acos²x+bsin²x,m=AB,n=ab,p=A²+B²,z=a²+b²则m,n,p,z满足什么关系
A=asin²x+bcos²x,B=acos²x+bsin²x,m=AB,n=ab,p=A²+B²,z=a²+b²
则m,n,p,z满足什么关系
A=asin²x+bcos²x,B=acos²x+bsin²x,m=AB,n=ab,p=A²+B²,z=a²+b²则m,n,p,z满足什么关系
∵A+B=asin²x+bcos²x+acos²x+bsin²x=(a+b)(sin²x+cos²x)=a+b,
∴p=A²+B²=(A+B)²-2AB=(a+b)²-2AB=a²+b²+2ab-2AB=z+2n-2m,
即m,n,p,z满足关系p=z+2n-2m.