{"id":576,"date":"2022-09-04T23:27:08","date_gmt":"2022-09-04T15:27:08","guid":{"rendered":"https:\/\/damakey.com\/?p=576"},"modified":"2023-05-24T16:02:52","modified_gmt":"2023-05-24T08:02:52","slug":"%e6%95%b8%e5%ad%b8%e5%8f%b2%e8%a9%b1","status":"publish","type":"post","link":"https:\/\/damakey.com\/?p=576","title":{"rendered":"\u6578\u5b78\u53f2\u8a71"},"content":{"rendered":"

<\/a>
<\/span><\/p>\n

<\/span><\/p>\n

\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u662f\u4e00\u500b\u5f4e\u6298\u7684\u9023\u7e8c\u66f2\u7dda\uff0c\u8003\u616e\u5e7e\u500b\u7c21\u55ae\u7684\u5f62\u5f0f\uff0c\u4f86\u89c0\u5bdf\u4e00\u4e0b\u5b83\u5728<\/span>xy<\/span>\u8ef8\u4e0a\u9577\u7684\u6a23\u5b50\u3002<\/span><\/p>\n

<\/span><\/p>\n

f1(x)=(x-1)*(x-2)*(x-3)=(x^2-3x+2)*(x-3)=x^3-6x^2+11x-6<\/span><\/p>\n

<\/span><\/p>\n

f1(x)<\/span>\u9019\u500b\u66f2\u7dda\u5728<\/span>x=1, 2, 3 <\/span>\u6642<\/span> f1(x)=0<\/span>\uff0c\u610f\u601d\u5728\u9019\u4e09\u500b\u9ede\u6703\u7a7f\u904e<\/span>x<\/span>\u8ef8\uff0c\u9019\u689d\u66f2\u7dda\u4f86\u81ea\u8ca0\u7121\u9650\u5927\uff0c\u5728<\/span>f1(0)=-6 <\/span>\u6642\u7a7f\u904e<\/span>y<\/span>\u8ef8\u7136\u5f8c\u7e7c\u7e8c\u5f80\u53f3\u4e0a\u5347\uff0c\u7a7f\u904e<\/span>x=1<\/span>\u7684<\/span>x<\/span>\u8ef8\u4e4b\u5f8c\u7e8c\u5347\u7136\u5f8c\u5728\u67d0\u500b\u9ede\u53cd\u6298\uff0c\u5728<\/span>x=2<\/span>\u5f80\u4e0b\u7a7f\u904e<\/span>x<\/span>\u8ef8\u4e4b\u5f8c\u7e8c\u4e0b\uff0c\u7136\u5f8c\u53c8\u53cd\u6298\u5411\u4e0a\u5728<\/span>x=3<\/span>\u7684\u4f4d\u7f6e\u7a7f\u904e<\/span>x<\/span>\u8ef8\uff0c\u7e8c\u4e0a\uff0c\u5f80\u6b63\u7121\u9650\u5927\u7684\u65b9\u5411\u53bb\u3002<\/span><\/p>\n

<\/span><\/p>\n

f2(x)=(x-1)*(x-1)*(x-3)=(x^2-2x+1)*(x-3)=x^3-5x^2+7x-3 <\/span><\/p>\n

<\/span><\/p>\n

f2(x)<\/span>\u9019\u689d\u66f2\u7dda\u5f9e\u8ca0\u7121\u9650\u5927\u904e\u4f86\uff0c\u5728<\/span>f2(0)=-3 <\/span>\u7684\u4f4d\u7f6e\u7a7f\u904e<\/span>y<\/span>\u8ef8\uff0c\u7e8c\u5347\uff0c\u5728<\/span>x=1<\/span>\u7684\u5730\u65b9\u8207<\/span>x<\/span>\u8ef8\u76f8\u5207\u3001\u76f8\u4ea4<\/span>(x<\/span>\u6bd4<\/span>1<\/span>\u5c0f\u4e00\u9ede\u9ede\u6216<\/span>1<\/span>\u5927\u4e00\u9ede\u9ede\uff0c<\/span>f2(x)<\/span>\u90fd\u662f\u8ca0\u503c\uff0c<\/span>f2(1)=0<\/span>\uff0c\u662f<\/span>x=1<\/span>\u9644\u8fd1\u7684\u6700\u5927\u503c\uff0c\u53ef\u4ee5\u60f3\u50cf\u6210\u934b\u84cb\u7684\u9802\u9ede<\/span>)<\/span>\uff0c\u4e4b\u5f8c\u53cd\u8f49\u5f80\u4e0b\uff0c\u5728\u67d0\u500b\u9ede\u53cd\u8f49\u5f80\u4e0a\uff0c\u5728<\/span>x=3<\/span>\u7684\u5730\u65b9\u7a7f\u904e<\/span>x<\/span>\u8ef8\uff0c\u7136\u5f8c\u7e7c\u7e8c\u5f80\u6b63\u7121\u9650\u5927\u7684\u65b9\u5411\u53bb\u3002<\/span><\/p>\n

<\/span><\/p>\n

f3(x)=(x-1)*(x-1)*(x-1)= (x^2-2x+1)*(x-1)=x^3-3x^2+3x-1 <\/span><\/p>\n

<\/span><\/p>\n

f3(x)<\/span>\u9019\u689d\u66f2\u7dda\u5f9e\u8ca0\u7121\u9650\u5927\u904e\u4f86\uff0c\u5728<\/span>f3(0)=-1 <\/span>\u7684\u4f4d\u7f6e\u7a7f\u904e<\/span>y<\/span>\u8ef8\uff0c\u7e8c\u5347\u5728<\/span>x=1<\/span>\u7a7f\u904e<\/span>x<\/span>\u8ef8\u5f80\u6b63\u7121\u9650\u5927\u5954\u53bb\u800c\u6c38\u4e0d\u56de\u982d\u3002<\/span><\/p>\n

<\/span><\/p>\n

f4(x)=(x+i)*(x-i)*(x-1)=(x^2-i^2)*(x-1)=(x^2+1)*(x-1)=x^3-x^2+x-1<\/span><\/p>\n

<\/span><\/p>\n

f4(x)<\/span>\u9019\u689d\u66f2\u7dda\u5f9e\u8ca0\u7121\u5927\u4e0a\u5347\u904e\u4f86\uff0c\u5728<\/span>f4(0)=-1 <\/span>\u9019\u500b\u4f4d\u7f6e\u7a7f\u904e<\/span>y<\/span>\u8ef8\uff0c\u7136\u5f8c\u5728<\/span>x=1<\/span>\u7684\u4f4d\u7f6e\u7a7f\u904e<\/span>x<\/span>\u8ef8\uff0c\u7e8c\u5347\u5f80\u6b63\u7121\u9650\u5927\u5954\u53bb\u3002<\/span>f4(x)<\/span>\u7279\u5225\u7684\u5730\u65b9\u662f\u53ea\u6709\u4e00\u500b\u5be6\u6578\u6839<\/span>x=1<\/span>\uff0c\u4f46\u6709\u5169\u500b\u865b\u6578\u6839<\/span> x=i <\/span>\u548c<\/span> x=-i (i=(-1)^(1\/2))<\/span>\u3002\u800c\u5b83\u7684\u7dda\u5716\u7684\u6a23\u5b50\u548c<\/span>f3(x)<\/span>\u90a3\u7a2e\u53ea\u6709\u55ae\u4e00\u5be6\u6578\u6839\u7684\uff0c\u4e26\u6c92\u6709\u592a\u5927\u7684\u5dee\u5225\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u89e3\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\uff0c\u5c31\u662f\u627e\u51fa\u90a3\u4e9b\u901a\u904e<\/span>x<\/span>\u8ef8\u7684\u9ede\uff0c\u6eff\u8db3<\/span>y=f(x)=0<\/span>\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u524d\u9762\u8209\u7684\u7c21\u55ae\u4f8b\u5b50\uff0c\u662f\u7531\u6839\u63a8\u5c55\u5b83\u5011\u7684\u65b9\u7a0b\u5f0f\uff0c\u53ea\u8981\u7528<\/span>x<\/span>\u76f8\u6e1b\u7136\u5f8c\u7d2f\u4e58\u8d77\u4f86\u5c31\u53ef\u4ee5\u4e86\u3002\u4f46\u662f\uff0c\u5982\u679c\u62ff\u5230\u7684\u662f\u4efb\u4e00\u500b\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\uff0c\u5c31\u6c92\u6709\u90a3\u9ebc\u7c21\u55ae\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u7fa9\u5927\u5229\u6587\u85dd\u5fa9\u8208\u6642\u671f\u7684\u5b78\u8005\u5361\u723e\u4e39\u8afe<\/span>(Girolamo Cardano, 1501-1576)<\/span>\uff0c\u5c31\u6210\u529f\u89e3\u4e86\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u64da\u8aaa\uff0c\u5176\u5be6\u5361\u723e\u4e39\u8afe\u4e26\u975e\u7b2c\u4e00\u4f4d\u89e3\u51fa\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u7684\uff0c\u800c\u662f\u540c\u6642\u4ee3\u7684\u5c3c\u67ef\u6d1b·\u99ae\u5854\u7d0d<\/span>(Niccolo Fontana)<\/span>\uff0c\u4f46\u5c3c\u67ef\u6d1b·\u99ae\u5854\u7d0d\u5805\u6301\u4e0d\u5c0d\u5916\u900f\u9732\u9019\u500b\u5bc6\u79d8\u3002\u5361\u723e\u4e39\u8afe\u591a\u6b21\u5411\u5c3c\u67ef\u6d1b·\u99ae\u5854\u7d0d\u8a0e\u8f03\uff0c\u4f46\u5c3c\u67ef\u6d1b·\u99ae\u5854\u7d0d\u53ea\u4ee5\u8b0e\u8a9e\u4e00\u822c\u7684\u6697\u793a\u4f86\u642a\u585e\u5361\u723e\u4e39\u8afe\uff0c\u4f46\u662f\u6c92\u6709\u60f3\u5230\u5361\u723e\u4e39\u8afe\u5c45\u7136\u5c31\u56e0\u6b64\u89e3\u958b\u4e86\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u4e86\u3002<\/span>*<\/span><\/p>\n

<\/span><\/p>\n

\u96d6\u7136\u975e\u5e38\u53ef\u80fd\u4e0d\u662f\u5361\u723e\u4e39\u8afe\u7684\u539f\u5275\uff0c\u4f46\u78ba\u5be6\u662f\u5361\u723e\u4e39\u8afe\u9996\u5148\u767c\u4f48\uff0c\u6240\u4ee5\u5f8c\u4f86\u5927\u5bb6\u5c31\u90fd\u7a31\u90a3\u500b\u89e3\u70ba\u300c\u5361\u723e\u4e39\u8afe\u516c\u5f0f\u300d\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u5361\u723e\u4e39\u8afe\u9996\u5148\u8003\u616e\u7684\u662f\u4e00\u500b\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u7684\u7279\u5225\u578b\uff1a<\/span><\/p>\n

<\/span><\/p>\n

X^3+pX=q<\/span>\uff0c<\/span>p, q >0<\/span><\/p>\n

<\/span><\/p>\n

\u89e3\u984c\uff1a<\/span><\/p>\n

<\/span><\/p>\n

\u5148\u5047\u8a2d\u89e3<\/span>X=s^(1\/3)-t^(1\/3)<\/span>\uff0c<\/span>s, t <\/span>\u70ba\u4efb\u610f\u6578\uff0c\u4ee3\u5165\u4e0a\u5f0f<\/span><\/p>\n

<\/span><\/p>\n

(s^(1\/3)-t^(1\/3))^3+p* (s^(1\/3)-t(1\/3))=q<\/span><\/p>\n

<\/span><\/p>\n

s-3s^(2\/3)t^(1\/3)+3s^(1\/3)t^(2\/3)-t+ps^(1\/3)-pt^(1\/3)=q<\/span><\/p>\n

<\/span><\/p>\n

(s-t)-3s^(1\/3)t^(1\/3)*(s^(1\/3)-t^(1\/3))=q-p(s^(1\/3)-t^(1\/3))<\/span><\/p>\n

<\/span><\/p>\n

\u6bd4\u8f03\u7b49\u5f0f\u7684\u5de6\u53f3\uff0c\u53ef\u5f97\u4e00\u7d44\u806f\u7acb\u65b9\u7a0b\u5f0f<\/span><\/p>\n

<\/span><\/p>\n

s-t=q ; 3s^(1\/3)t^(1\/3)=p<\/span><\/p>\n

<\/span><\/p>\n

s-t=q ; st=(p\/3)^3<\/span><\/p>\n

<\/span><\/p>\n

s=q+t, <\/span>\u4ee3\u5165\u7b2c\u4e8c\u5f0f\uff1a<\/span><\/p>\n

<\/span><\/p>\n

(q+t)*t=(p\/3)^3<\/span><\/p>\n

<\/span><\/p>\n

t^+qt-(p\/3)^3=0<\/span><\/p>\n

<\/span><\/p>\n

\u7528\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u7684\u6c42\u6839\u516c\u5f0f\uff0c\u5f97<\/span><\/p>\n

<\/span><\/p>\n

t=(-q±(q^2+4(p\/3)^3)^(1\/2))\/2<\/span><\/p>\n

= ± ((q\/2)^2+(p\/3)^3)^(1\/2) -q\/2<\/span><\/p>\n

<\/span><\/p>\n

\u4ee4<\/span>t=((q\/2)^2+(p\/3)^3)^(1\/2) -q\/2<\/span><\/p>\n

s=q+t=((q\/2)^2+(p\/3)^3)^(1\/2) +q\/2<\/span><\/p>\n

<\/span><\/p>\n

X= s^(1\/3)-t^(1\/3)= (((q\/2)^2+(p\/3)^3)^(1\/2) +q\/2)^(1\/3)-(((q\/2)^2+(p\/3)^3)^(1\/2) -q\/2)^(1\/3)<\/span><\/p>\n

<\/span><\/p>\n

\u9019\u5c31\u662f<\/span>X^3+pX=q<\/span>\u7684\u4e00\u500b\u5be6\u6578\u89e3<\/span><\/p>\n

<\/span><\/p>\n

\u5982\u679c\u4ee4<\/span>t=-((q\/2)^2+(p\/3)^3)^(1\/2)-q\/2 <\/span>\u4e5f\u53ef\u4ee5\u5f97\u5230\u76f8\u540c\u7684\u5be6\u6578\u89e3<\/span><\/p>\n

<\/span><\/p>\n

\u9019\u500b\u89e3\u6cd5\uff0c\u6700\u4ee4\u4eba\u611f\u5230\u795e\u5947\u7684\u662f\uff0c\u70ba\u4ec0\u9ebc\u77e5\u9053\u8981\u5047\u8a2d\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u7684\u5be6\u6578\u89e3\u662f\u5169\u500b\u4efb\u610f\u6578\u7684\u4e09\u6b21\u65b9\u6839\u7684\u5dee\u5462\uff1f<\/span><\/p>\n

<\/span><\/p>\n

X=s^(1\/3)-t^(1\/3)<\/span>\uff0c<\/span>s, t <\/span>\u70ba\u4efb\u610f\u6578<\/span><\/p>\n

<\/span><\/p>\n

\u6839\u672c\u4f86\u5c31\u662f\u672a\u77e5\u6578\uff0c\u5361\u723e\u4e39\u8afe\u600e\u9ebc\u6703\u77e5\u9053\u5b83\u7684\u5f62\u5f0f\u5462\uff1f<\/span>(<\/span>\u6216\u8005\u8aaa\u9019\u662f\u5c3c\u67ef\u6d1b·\u99ae\u5854\u7d0d<\/span>(Niccolo Fontana)<\/span>\u7d66\u4ed6\u7684\u6697\u793a\uff0c\u90a3\u4e00\u6a23\u7684\u554f\u984c\uff0c\u70ba\u4ec0\u9ebc\u5c3c\u67ef\u6d1b·\u99ae\u5854\u7d0d\u6703\u77e5\u9053\uff1f<\/span>) <\/span>\u6216\u8a31\u9019\u5c31\u662f\u5049\u5927\u6578\u5b78\u5bb6\u548c\u5176\u4ed6\u4e00\u822c\u4eba\u4e0d\u540c\u7684\u5730\u65b9\uff0c\u7e3d\u662f\u5728\u798f\u81f3\u5fc3\u9748\u7684\u6642\u523b\u6709\u9a5a\u5929\u52d5\u5730\u7684\u5275\u610f\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u5982\u4f55\u5c07\u5361\u723e\u4e39\u8afe\u7684\u89e3\u6cd5\u904b\u7528\u5230\u6240\u6709\u7684\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u5462\uff1f<\/span><\/p>\n

<\/span><\/p>\n

X^3+aX^2+bX+c=0 (<\/span>\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u7684\u666e\u904d\u578b\u5f0f<\/span>)<\/span><\/p>\n

<\/span><\/p>\n

\u4ee4<\/span> X=w-a\/3<\/span>\uff0c\u4ee3\u5165\u4e0a\u5f0f<\/span><\/p>\n

<\/span><\/p>\n

(w-a\/3)^3+a(w-a\/3)^2+b(w-a\/3)+c=0<\/span><\/p>\n

<\/span><\/p>\n

w^3-3w^2*(a\/3)+3w(a\/3)^2-(a\/3)^3+aw^2-2\/3*a^2w+a^3\/9+bw-ab\/3+c=0<\/span><\/p>\n

<\/span><\/p>\n

w^3+(a^2\/3-2*a^2\/3+b)*w-(a^3\/27-a^3\/9+ab\/3-c)=0<\/span><\/p>\n

<\/span><\/p>\n

w^3+(b-a^2\/3)w=ab\/3-2a^3\/27-c<\/span><\/p>\n

<\/span><\/p>\n

\u4ee4<\/span>p= b-a^2\/3 q= ab\/3-2a^3\/27-c<\/span><\/p>\n

<\/span><\/p>\n

w^3+pw=q   <\/span><\/span>\u9019\u5c31\u662f\u5361\u723e\u4e39\u8afe\u7576\u6642\u89e3\u7684\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u7684\u539f\u578b\u4e86\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u800c\u5728\u9019\u500b\u8f49\u63db\uff0c\u662f\u4ee4<\/span>X=w-a\/3<\/span>\uff0c\u9019\u5c31\u6bd4\u8f03\u5bb9\u6613\u7406\u89e3\u3002\u7531\u65bc\u5728\u5361\u723e\u4e39\u8afe\u7684\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u4e2d\u6c92\u6709\u5e73\u65b9\u9805\uff0c\u5728\u4ee3\u5165\u7684\u4e8c\u9805\u5f0f\u5c55\u958b\u5f0f\u4e2d\uff0c\u4e09\u6b21\u65b9\u5c55\u958b\u4e2d\u7684\u5e73\u65b9\u9805\u8981\u8ddf\u4e8c\u6b21\u65b9\u5c55\u958b\u7684\u5e73\u65b9\u9805\u76f8\u6d88\uff0c\u5c31\u5f97\u628a<\/span>X<\/span>\u8a2d\u6210<\/span>w-a\/3<\/span>\u624d\u8fa6\u5f97\u5230\u3002\u5728\u7dda\u5716\u4e0a\u770b\uff0c\u9019\u7b49\u65bc\u628a\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u505a\u4e00\u500b\u6c34\u5e73\u8ddd\u96e2\u70ba<\/span>a\/3<\/span>\u7684\u79fb\u52d5\u800c\u5df2\uff0c\u4e26\u672a\u6539\u8b8a\u66f2\u7dda\u7684\u6027\u8cea\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u6211\u4e0d\u77e5\u9053\u89e3\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u6709\u4ec0\u9ebc\u7528\uff0c\u4f46\u5f9e\u8a72\u65b9\u7a0b\u5f0f\u5728<\/span>xy<\/span>\u8ef8\u4e0a\u6240\u986f\u73fe\u7684\u7dda\u5716\uff0c\u6c42\u89e3\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\uff0c\u5c31\u662f\u5c0b\u627e\u5b83\u548c<\/span>x<\/span>\u8ef8\u76f8\u4ea4\u7684\u5730\u65b9\u3002\u5b83\u4ee4\u4eba\u8457\u8ff7\u7684\u5730\u65b9\u5728\u65bc\uff0c\u7e31\u4f7f\u6709\u865b\u6578\u6839<\/span>(<\/span>\u6709<\/span>i : (-1)^(1\/2))<\/span>\uff0c\u5728<\/span>x<\/span>\u8ef8\u4e0a\u9762\u627e\u4e0d\u5230\u76f8\u61c9\u7684\u4f4d\u7f6e\uff0c\u4e5f\u4e0d\u59a8\u7919\u90a3\u689d\u66f2\u7dda\u7684\u5b58\u5728\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u7684\u89e3\u770b\u8d77\u4f86\u6709\u9ede\u8907\u96dc\uff0c\u800c\u5b83\u4e5f\u53ea\u89e3\u4e86\u4e00\u689d\u975e\u5e38\u7c21\u55ae\u7684\u7dda\u5716\u548c<\/span>x<\/span>\u8ef8\u7684\u4ea4\u9ede\u800c\u5df2\u3002\u800c\u9019\u500b\u4e16\u754c\uff0c\u9060\u9060\u6bd4\u90a3\u500b\u65b9\u7a0b\u5f0f\u8907\u96dc\u5f97\u592a\u591a\u4e86\u3002\u4eba\u751f\u7684\u89e3\uff0c\u6709\u4eba\u9078\u64c7\u4e0d\u65b7\u52aa\u529b\u53bb\u5c0b\u627e\uff0c\u56e0\u70ba\u4ed6\u5011\u8a8d\u70ba\u7d42\u7a76\u6709\u89e3\uff1b\u6709\u4eba\u5247\u9078\u64c7\u628a\u554f\u984c\u653e\u4e0b\uff0c\u56e0\u70ba\u4ed6\u5011\u8a8d\u70ba\u7121\u89e3\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u738b\u570b\u7dad\u5728\u300a\u4eba\u9593\u8a5e\u8a71\u300b\u4e2d\u628a\u505a\u5b78\u554f\u505a\u5927\u4e8b\u7528\u8a5e\u7684\u610f\u5883\uff0c\u5206\u6210\u4e09\u7a2e\uff1a\u300c\u6628\u591c\u897f\u98a8\u51cb\u78a7\u6a39\uff0c\u7368\u4e0a\u9ad8\u6a13\uff0c\u671b\u76e1\u5929\u6daf\u8def\u300d\uff1b\u300c\u8863\u5e36\u6f38\u5bec\u7d42\u4e0d\u6094\uff0c\u70ba\u4f0a\u6d88\u5f97\u4eba\u6194\u60b4\u300d\uff1b\u300c\u773e\u88cf\u5c0b\u4ed6\u5343\u767e\u5ea6\uff0c\u9a40\u7136\u56de\u9996\uff0c\u90a3\u4eba\u537b\u5728\u71c8\u706b\u95cc\u73ca\u8655\u300d\u3002\u4ed6\u5287\u900f\u7684\uff0c\u4e5f\u662f\u4eba\u751f\u89e3\u984c\u7684\u904e\u7a0b\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u548c\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u518d\u6b21\u7684\u559c\u76f8\u9022\uff0c\u6211\u63e3\u6469\u8457\u5b83\u5728\u6211\u4eba\u751f\u4e2d\u53ef\u80fd\u7684\u4f4d\u7f6e\uff0c\u548c\u7463\u7463\u788e\u788e\u7684\u65e5\u5e38\u4e00\u6a23\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u5176\u5be6\uff0c\u6211\u9084\u662f\u6bd4\u8f03\u559c\u6b61\u8523\u6377\u7684\u300a\u807d\u96e8\u300b\u3002\u4e00\u610f\u4efb\u6027\u4e0b\u53bb\uff0c\u807d\u4eba\u751f\u7684\u96e8\uff0c\u6709\u6211\uff0c\u6709\u4f60\u3002<\/span><\/p>\n

<\/span><\/p>\n

*<\/span>\u300a\u6578\u5b78\u53f2\u8a71\u300b\uff0c\u9673\u9577\u57ce<\/span> <\/span>\u7de8\u8457<\/span><\/p>\n

<\/span><\/p>\n

P.S. <\/span>\u300a\u865e\u7f8e\u4eba<\/span> <\/span>\u807d\u96e8\u300b<\/span> <\/span>\u5b8b<\/span>•<\/span>\u8523\u6377<\/span><\/p>\n

<\/span><\/p>\n

\u5c11\u5e74\u807d\u96e8\u6b4c\u6a13\u4e0a\uff0c\u7d05\u71ed\u660f\u7f85\u5e33\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u58ef\u5e74\u807d\u96e8\u5ba2\u821f\u4e2d\uff0c\u6c5f\u95ca\u96f2\u4f4e\uff0c\u65b7\u96c1\u53eb\u897f\u98a8\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u800c\u4eca\u807d\u96e8\u50e7\u5eec\u4e0b\uff0c\u9b22\u5df2\u661f\u661f\u4e5f\u3002\u60b2\u6b61\u96e2\u5408\u7e3d\u7121\u60c5\uff0c\u4e00\u4efb\u968e\u524d\u9ede\u6ef4\u5230\u5929\u660e\u3002<\/span><\/p>\n

<\/span><\/p>\n

2022\/9\/1 <\/span>\u807d\u96e8<\/span> Damakey<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u5f0f\u662f\u4e00\u500b\u5f4e\u6298\u7684\u9023\u7e8c\u66f2\u7dda\uff0c\u8003\u616e\u5e7e\u500b\u7c21\u55ae\u7684\u5f62\u5f0f\uff0c\u4f86\u89c0…<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"content-type":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-576","post","type-post","status-publish","format-standard","hentry","category-3"],"_links":{"self":[{"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/posts\/576","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/damakey.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=576"}],"version-history":[{"count":1,"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/posts\/576\/revisions"}],"predecessor-version":[{"id":19584,"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/posts\/576\/revisions\/19584"}],"wp:attachment":[{"href":"https:\/\/damakey.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=576"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/damakey.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=576"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/damakey.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=576"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}