作出函数y=arcsin(sinx),x∈[-π,π]的图像，并判断函数的奇偶性及单调区间
\u51fd\u6570y=x/\uff08sinx\uff09,x\u2208(-\u03c0,0)\u222a(0,\u03c0)\u7684\u56fe\u8c61\u53ef\u80fd\u662f\u56e0\u4e3ay=x/sin(x)\uff0c\u662f\u5076\u51fd\u6570\uff0c\u6240\u4ee5\u53ea\u9700\u753b\u51fa(0,\u03c0)\u7684\u56fe\u50cf\u5373\u53ef\uff0c\u518d\u6cbfy\u8f74\u5bf9\u79f0\u5373\u662f\u53e6\u5916\u4e00\u533a\u95f4\u7684\u56fe\u50cf\u3002
\u4e0b\u9762\u91cd\u70b9\u8ba8\u8bba(0,\u03c0)\u7684\u753b\u56fe\u95ee\u9898\u3002
\u5f53\u5728\u5176(0,\u03c0)\uff0c\u5728x=0\u5904\u6781\u9650\u4e3a1\uff0c\u4e14\u5728\u8fd9\u533a\u95f4\u5185\uff0c\u5b83\u7684\u5bfc\u6570\u6052\u5927\u4e8e0\uff0c\u5b83\u5728\u8fd9\u4e00\u533a\u95f4\u7684\u56fe\u50cf\u5c31\u8fd1\u4f3c
g=x^3+1\u5f62\u72b6\uff0c\u4f46\u662f\u56e0\u4e3asin\uff08\u03c0\uff09=0\uff0c\u6240\u4ee5x=\u03c0\u65f6\uff0cf\u8d8b\u8fd1\u4e8e\u65e0\u7a77\u5927\uff0c\u6545x=\u03c0\u662f\u5b83\u7684\u6e10\u8fd1\u7ebf\u3002
\u53c2\u89c1\u56fe\u50cf\u3002
\u4e0d\u8fc7\u5982\u679c\u7ee7\u7eed\u753b\u51fa\u5b83\u7684\u51fd\u6570\u56fe\u50cf\uff0c\u6bd4\u5982\u5728\uff08\u03c0\uff0c2\u03c0\uff09\u3001\uff082\u03c0\uff0c3\u03c0\uff09\u5219\u66f4\u4e3a\u590d\u6742\uff0c\u4f9d\u7136\u8981\u6c42\u5bfc\uff0c\u589e\u51cf\u6027\u4e0a\u7684\u5224\u65ad\u7b49\u7b49\uff0c\uff08\u03c0\uff0c2\u03c0\uff09\u56fe\u50cf\u770b\u8d77\u6765\u662f\u5012\u201cU\u201d\u5b57\u578b\u7684\uff0c\u800c\uff082\u03c0\uff0c3\u03c0\uff09\u7684\u56fe\u50cf\u5219\u662f\u201cU\u201d\u5b57\u578b\u7684\uff0c\u4ed6\u4eec\u5206\u522b\u6709\u6700\u5927\u503c\uff0c\u6700\u5c0f\u503c\u3002\u56e0\u4e3asin(x)\u5206\u6bcd\u4e3a0\u7684\u60c5\u51b5\uff0c\u6240\u4ee5\u4ed6\u4eec\u90fd\u6709\u6e10\u8fd1\u7ebf\u3002\u767e\u5ea6\u8fd9\u53ea\u80fd\u63d2\u5165\u4e00\u4e2a\u56fe\uff0c\u6240\u4ee5\u5c31\u4e0d\u7ed9\u51fa\u5b83\u540e\u9762\u7684\u56fe\u50cf\u56fe\u7247\u4e86\uff0c\u5b83\u5728(-\u03c0\uff0c0)\u7684\u56fe\u50cf\u5173\u4e8ey\u8f74\u5bf9\u79f0\u5373\u53ef\u3002
\u51fd\u6570y=x+sinx\uff0cx\u2208[-\u03c0\uff0c\u03c0]\u662f\u5947\u51fd\u6570\uff0c\u2234B\u3001C\u7684\u56fe\u8c61\u4e0d\u6ee1\u8db3\u5947\u51fd\u6570\u7684\u5b9a\u4e49\uff0c\u51fd\u6570y=x\u662f\u589e\u51fd\u6570\uff0cy=sinx\u5728x\u2208[-\u03c0\uff0c\u03c0]\u662f\u589e\u51fd\u6570\uff0c\u2234\u51fd\u6570y=x+sinx\uff0cx\u2208[-\u03c0\uff0c\u03c0]\u662f\u589e\u51fd\u6570\uff0c\u2234D\u4e0d\u6b63\u786e\uff0cA\u6b63\u786e\uff0e\u6545\u9009\uff1aA\uff0e
图像如下，可知这个函数是奇函数，（-π/2，π/2）单调递增（-π，-π/2）∪（π/2，π）单调递减
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