已知集合A={(x,y)|y=x^2},B={(x,y)|y=2^x),则集合A交B的真子集的个数为多少 数学集合问题: 1.设集合A={(x,y)|x^2+y^2≤...
A={(x,y)|x^2+y^2=1}B={(x,y)|x+y=1}\u5219A\u4ea4B\u7684\u5143\u7d20\u4e2a\u6570\u4e3aA={(x,y)|x^2+y^2=1}B={(x,y)|x+y=1}
\u8981A\u4ea4B
\u90a3\u4e48\u9700\u8981A\u548cB\u7684\uff08x,y)\u76f8\u7b49
\u6240\u4ee5x^2+y^2=x+y
x^2-x+y^2-y=0
x=1-y\u5e26\u5165\u4e0a\u9762\u7684\u5f0f\u5b50
\u5f97\u5230(1-y)^2-1+y+y^2-y=0
y^2-2y+1-1+y^2=0
y^2-y=0
y=1\u62160
y=1,\u90a3\u4e48x=0
y=0,\u90a3\u4e48x=1
\u6240\u4ee5A\u2229B={(0,1),(1,0)}
\u7531\u9898\u610f\uff0cA={(0,0),(0,1),(0,-1),(-1,0),(1,0)}\u3002A\u67095\u4e2a\u5143\u7d20\uff0c\u5219\u975e\u7a7a\u771f\u5b50\u96c6\u4e2a\u6570\u662f2^5-1=31\u4e2a\u3002
\u8fd9\u4e00\u9898\u6700\u540e\u4e00\u4e2a\u6570\u5e94\u8be5\u662fsin^2a\u5427\uff0c\u6240\u4ee5\u6700\u540e\u4e00\u4e2a\u6570\u5e94\u8be5\u662f1\u3002\u90a3\u4e48\u9700\u8981\u5206\u7c7b\u8ba8\u8bba\uff0cx>0\u65f6\uff0c\u7b2c\u4e00\u4e2a\u6570\u662f1\uff0c\u7b2c\u4e8c\u4e2a\u6570\u662f-1\u3002x<0\u65f6\uff0c\u7b2c\u4e00\u4e2a\u6570\u662f-1\uff0c\u7b2c\u4e8c\u4e2a\u6570\u662f1\u3002\u6240\u4ee5\u96c6\u5408={-1,1}\u3002
\u7531\u9898\u610f\uff0cX\u4e2d\u4e0d\u80fd\u540c\u65f6\u5b58\u57281\u548c2\u3002\u5206\u7c7b\u8ba8\u8bba\uff0cX\u67091\u6ca12\u65f6\uff0cX\u7684\u4e2a\u6570\u662f2^3=8\u3002X\u67092\u6ca11\u65f6\uff0cX\u7684\u4e2a\u6570\u662f2^3=8\u3002X\u6ca11\u6ca12\u65f6\uff0c\u4e2a\u6570\u662f2^3=8\u3002\u6545\u5171\u67098+8+8=24\u4e2a\u3002
\u662f\u4e0d\u662f\u591a\u4e86\u4e00\u4e2a\u201d\u4e0d\u201c\u5b57\uff1f\u6ca1\u591a\u7684\u8bdd\u6ca1\u6cd5\u505a\u3002\u5982\u679c\u591a\u4e86\u7684\u8bdd\uff0c\u7531\u9898\u610f\uff0c\u628a\u90a3\u4e24\u4e2a\u70b9\u5e26\u5165mx+ny=4\uff0c\u52192m+n=4\uff0c5n-2m=4\u3002\u89e32\u5143\u4e00\u6b21\u65b9\u7a0b\uff0cm=4/3\uff0cn=4/3
A是开口向上过原点的抛物线，B是在x轴上方过（0，1）的弧线，看交点就ok啦～
1
两个{(x,y)|x=4,y=16}，{(x,y)|-1/2,1/4}
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绛旓細闆嗗悎A銆丅琛ㄧず鐨勬槸涓ゆ潯鐩寸嚎锛屼粬浠殑浜ら泦灏辨槸杩欎袱鏉＄洿绾跨殑浜ょ偣锛岃仈绔嬩袱涓柟绋嬶紝瑙ｆ柟绋嬪嵆鍙倅=2x-1 y=x+3 瑙ｅ緱x=4,y=7.鎵浠浜=={(4,7)}
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