f(x)=1的奇偶性
\u5947\u5076\u6027f\uff08x\uff09=1\u5076\u51fd\u6570\uff0c\u5173\u4e8eY\u8f74\u5bf9\u79f0
\u8be5\u51fd\u6570\u5b9a\u4e49\u57df\u4e3aR\uff0c
\u5173\u4e8e\u539f\u70b9\u548cY\u8f74\u90fd\u5bf9\u79f0
f(-x)=1=f(x)
\u6240\u4ee5f(x)=1\u662f\u5076\u51fd\u6570\u3002
1\u3001\u51fd\u6570\u5947\u5076\u6027\u5b9a\u4e49\uff1a
\u4e00\u822c\u5730\uff0c\u5bf9\u4e8e\u51fd\u6570f(x)
\u2474\u5982\u679c\u5bf9\u4e8e\u51fd\u6570\u5b9a\u4e49\u57df\u5185\u7684\u4efb\u610f\u4e00\u4e2ax\uff0c\u90fd\u6709f(-x)=-f(x)\uff0c\u90a3\u4e48\u51fd\u6570f(x)\u5c31\u53eb\u505a\u5947\u51fd\u6570\u3002
\u2475\u5982\u679c\u5bf9\u4e8e\u51fd\u6570\u5b9a\u4e49\u57df\u5185\u7684\u4efb\u610f\u4e00\u4e2ax\uff0c\u90fd\u6709f(-x)=f(x)\uff0c\u90a3\u4e48\u51fd\u6570f(x)\u5c31\u53eb\u505a\u5076\u51fd\u6570\u3002
\u2476\u5982\u679c\u5bf9\u4e8e\u51fd\u6570\u5b9a\u4e49\u57df\u5185\u7684\u4efb\u610f\u4e00\u4e2ax\uff0cf(-x)=-f(x)\u4e0ef(-x)=f(x)\u540c\u65f6\u6210\u7acb\uff0c\u90a3\u4e48\u51fd\u6570f(x)\u65e2\u662f\u5947\u51fd\u6570\u53c8\u662f\u5076\u51fd\u6570\uff0c\u79f0\u4e3a\u65e2\u5947\u53c8\u5076\u51fd\u6570\u3002
\u2477\u5982\u679c\u5bf9\u4e8e\u51fd\u6570\u5b9a\u4e49\u57df\u5185\u7684\u4efb\u610f\u4e00\u4e2ax\uff0cf(-x)=-f(x)\u6216f(-x)=f(x)\u90fd\u4e0d\u80fd\u6210\u7acb\uff0c\u90a3\u4e48\u51fd\u6570f(x)\u65e2\u4e0d\u662f\u5947\u51fd\u6570\u53c8\u4e0d\u662f\u5076\u51fd\u6570\uff0c\u79f0\u4e3a\u975e\u5947\u975e\u5076\u51fd\u6570\u3002
2\u3001\u5947\u5076\u6027\u7684\u5224\u5b9a\u65b9\u6cd5
\uff081\uff09\u6c42\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u3002
\uff082\uff09\u5224\u65adf(-x)\u4e0ef(x)\u7684\u5173\u7cfb\u3002
\uff083\uff09\u5f97\u51fa\u51fd\u6570\u7684\u5947\u5076\u6027\u3002
3\u3001f(x)=\u221ax-1+\u221a1-x\u7684\u5947\u5076\u6027\u7684\u5224\u5b9a\uff1a
\u89e3\uff1a\u51fd\u6570\u6709\u610f\u4e49\u7684\u6761\u4ef6\u4e3a\uff1ax-1>=0\u4e141-x>=0\u5373x=1
\u51fd\u6570\u5b9a\u4e49\u57df\u4e3a{1}\u3002
\u5bf9\u4e8ex=1\u65f6\uff0c\u5b9a\u4e49\u57df\u4e2d\u4e0d\u542bx=-1\u6240\u4ee5f\uff08-1\uff09\u4e0d\u5b58\u5728\uff0c\u800cf1)=0
\u6b64\u65f6\uff0cf(-1)\u2260f(1)\uff0c\u4e5f\u6709f(-1)\u2260-f(1)
\u6240\u4ee5\u5728\u5b9a\u4e49\u57df\u4e2d\uff0c\u5bf9\u4e8e\u5b9a\u4e49\u57df\u4e2d\u7684\u6bcf\u4e00\u4e2ax\u4e0d\u6ee1\u8db3f(-x)=-f(x)\u4e5f\u4e0d\u6ee1\u8db3f\uff08-x )=f(x)\u6210\u7acb\u3002
\u6545f(x)=\u221ax-1+\u221a1-x\u4e3a\u975e\u5947\u975e\u5076\u51fd\u6570\u3002
偶函数：f(-x)=f(x). 所有的常函数都是偶函数。
解：
f(x)=1
定义域为R
f(-x)=1=f(x)
所以f(x)=1为偶函数
偶函数
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