{"id":109368,"date":"2026-06-15T17:59:48","date_gmt":"2026-06-15T09:59:48","guid":{"rendered":"https:\/\/www.dongwubaike.cn\/fanhao\/?p=109368"},"modified":"2026-06-15T17:59:48","modified_gmt":"2026-06-15T09:59:48","slug":"%e4%b8%83%e5%b9%b4%e7%ba%a7%e6%95%b0%e5%ad%a6%e6%9a%91%e5%81%87%e4%bd%9c%e4%b8%9a%e5%8f%82%e8%80%83%e7%ad%94%e6%a1%88","status":"publish","type":"post","link":"https:\/\/www.dongwubaike.cn\/fanhao\/109368.html","title":{"rendered":"\u4e03\u5e74\u7ea7\u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u53c2\u8003\u7b54\u6848"},"content":{"rendered":"

\u6691\u5047\u4f5c\u4e1a\u5f62\u5f0f\u591a\u6837\uff0c\u4e0d\u4ec5\u6709\u5b66\u79d1\u4f5c\u4e1a\uff0c\u4e5f\u6709\u793e\u4f1a\u5b9e\u8df5\u65b9\u9762\u7684\u4f5c\u4e1a\uff0c\u8fd9\u6837\u6839\u636e\u5404\u4e2a\u5b66\u6821\u7684\u5177\u4f53\u5b89\u6392\u3002\u4e0b\u9762\u662f\u5c0f\u7f16\u4e3a\u5927\u5bb6\u6574\u7406\u7684\u5173\u4e8e\u4e03\u5e74\u7ea7\u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u53c2\u8003\u7b54\u6848\uff0c\u5e0c\u671b\u5bf9\u60a8\u6709\u6240\u5e2e\u52a9!<\/p>\n

\u521d\u4e00\u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u7b54\u6848<\/strong><\/p>\n

\u4e00\u30011B\uff0c2B\uff0c3C\uff0c4D\uff0c5D\uff0c6C<\/p>\n

\u4e8c\u30017.AB(3)C(0)D(5)E(-2);8.\u7565;<\/p>\n

9.\u56db\u3001\u4e09\u3001\u4e8c\u3001\u4e00\u3001x\u8f74\u3001y\u8f74;<\/p>\n

10.(0\uff0c0)\uff0c\u7eb5\uff0c\u6a2a\u3002<\/p>\n

11.A(3\uff0c3)\uff0cB(7\uff0c2)\uff0c\u2462(3\uff0c1)\uff0cD(12\uff0c5)\uff0cE(12\uff0c9)\uff0c<\/p>\n

F(8\uff0c11)\uff0cG(5\uff0c11)\uff0cH(4\uff0c8)\uff0cI(8\uff0c7);<\/p>\n

12.\u7565;<\/p>\n

13.(5\uff0c-5)(-5,-5),(2,8),(-2,2);<\/p>\n

14.\u5782\u76f4\u516c\u5171\u539f\u70b9\u6a2a\u8f74\u3001x\u8f74\uff0c\u53f3\uff0c\u3001\u7eb5\u3001y\u3001\u4e0a\u3001\u539f\u70b9;<\/p>\n

\u4e09\u300115.A(0\uff0c6)\uff0cB(-4\uff0c2)\uff0cC(-2\uff0c-2)<\/p>\n

D(-2\uff0c-6)E(2\uff0c-6)F(2\uff0c2)G(4\uff0c2)<\/p>\n

16.\u7565<\/p>\n

17.\u56fe\u7565A1(0\uff0c1)B1(-3\uff0c-5)C1(5\uff0c0)<\/p>\n

18.\u8fd9\u4e9b\u70b9\u5728\u540c\u4e00\u76f4\u7ebf\u4e0a\uff0c\u5728\u4e8c\u56db\u8c61\u9650\u7684\u89d2\u5e73\u5206\u7ebf\u4e0a\uff0c\u4e3e\u4f8b\u7565\u3002<\/p>\n

19.\u89e3\u6790\uff1a<\/p>\n

(1)\u5728x\u8f74\u4e0a\u79bbA\u6751\u6700\u8fd1\u7684\u5730\u65b9\u662f\u8fc7A\u4f5cx\u8f74\u5782\u7ebf\u7684\u5782\u8db3\uff0c\u5373\u70b9(2\uff0c0);<\/p>\n

(2)\u79bbB\u6751\u6700\u8fd1\u7684.\u662f\u70b9(7\uff0c0);<\/p>\n

(3)\u627e\u51faA\u5173\u4e8ex\u8f74\u7684\u5bf9\u79f0\u7684\u70b9(2\uff0c-2)\uff0c\u5e76\u5c06\u5176\u4e0eB\u52a0\u8fde\u63a5\u8d77\u6765\uff0c\u5bb9\u6613\u770b\u51fa\u6240\u8fde\u76f4\u7ebf\u4e0ex\u8f74\u4ea4\u4e8e\u70b9(4\uff0c0)\uff0c\u6240\u4ee5\u6b64\u5904\u79bb\u4e24\u6751\u548c\u6700\u77ed.<\/p>\n

20.\u89e3\u6790\uff1a<\/p>\n

(1)(2\uff0c3)\uff0c(6\uff0c5)\uff0c(10\uff0c3)\uff0c(3\uff0c3)\uff0c(9\uff0c3)\uff0c(3\uff0c0)\uff0c(9\uff0c0);<\/p>\n

(2)\u5e73\u79fb\u540e\u5750\u6807\u4f9d\u6b21\u4e3a(2\uff0c0)\uff0c(6\uff0c2)\uff0c(10\uff0c0)\uff0c(3\uff0c0)\uff0c(9\uff0c0)\uff0c(3\uff0c\u20133)\uff0c(9\uff0c\u20133).<\/p>\n

21.\u89e3\u6790\uff1a<\/p>\n

(1)\u4ee5A\u70b9\u4e3a\u539f\u70b9\uff0c\u6c34\u5e73\u65b9\u5411\u4e3ax\u8f74\uff0c\u5efa\u7acb\u5e73\u9762\u76f4\u89d2\u5750\u6807\u7cfb.<\/p>\n

\u6240\u4ee5C\uff0cD\uff0cE\uff0cF\u5404\u70b9\u7684\u5750\u6807\u5206\u522b\u4e3aC(2\uff0c2)\uff0cD(3\uff0c3)\uff0cE(4\uff0c4)\uff0cF(5\uff0c5).<\/p>\n

(2)B\uff0cC\uff0cD\uff0cE\uff0cF\u7684\u5750\u6807\u4e0e\u70b9A\u7684\u5750\u6807\u76f8\u6bd4\u8f83\uff0c\u6a2a\u5750\u6807\u4e0e\u7eb5\u5750\u6807\u5206\u522b\u52a01\uff0c2\uff0c3\uff0c4\uff0c5.<\/p>\n

(3)\u6bcf\u7ea7\u53f0\u9636\u9ad8\u4e3a1\uff0c\u5bbd\u4e5f\u4e3a1\uff0c\u6240\u4ee510\u7ea7\u53f0\u9636\u7684\u9ad8\u5ea6\u662f10\uff0c\u957f\u5ea6\u4e3a11.<\/p>\n

\u4e03\u5e74\u7ea7\u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u7b54\u6848<\/strong><\/p>\n

1\u3001 \u540c\u4f4d\u89d2\u76f8\u7b49\uff0c\u5185\u9519\u89d2\u76f8\u7b49\uff0c\u540c\u65c1\u5185\u89d2\u4e92\u8865;\u540c\u4f4d\u89d2\u76f8\u7b49\uff0c\u5185\u9519\u89d2\u76f8\u7b49\uff0c\u540c\u65c1\u5185\u89d2\u4e92\u8865\u3002<\/p>\n

2\u3001 \u5982\u679c\u4e24\u6761\u76f4\u7ebf\u5e73\u884c\u4e8e\u540c\u4e00\u6761\u76f4\u7ebf\uff0c\u90a3\u4e48\u8fd9\u4e24\u6761\u76f4\u7ebf\u5e73\u884c<\/p>\n

3\u3001 144\u5ea6180\u5ea6<\/p>\n

4\u3001 80\u5ea6\uff0c80\u5ea6\uff0c100\u5ea6<\/p>\n

5\u3001 \uff0c<\/p>\n

6\u3001 78\u5ea6<\/p>\n

7\u3001 54\u5ea6<\/p>\n

9A10D11D12A13D14\u2460B\u2461C15B16C17C18D<\/p>\n

19~20\u3001\u7565<\/p>\n

21\u3001<\/p>\n

[1] \u2220AEF\u3001\u4e24\u76f4\u7ebf\u5e73\u884c\uff0c\u540c\u65c1\u5185\u89d2\u4e92\u8865;\u2220CFE\u3001\u4e24\u76f4\u7ebf\u5e73\u884c\uff0c\u5185\u9519\u89d2\u76f8\u7b49;\u2220B\u3001\u4e24\u76f4\u7ebf\u5e73\u884c\uff0c\u540c\u4f4d\u89d2\u76f8\u7b49;<\/p>\n

[2] \u2220ABC\u3001\u2220BCD\u3001\u5782\u76f4\u7684\u5b9a\u4e49;\u5df2\u77e5;BE\u3001CF\u3001\u5185\u9519\u89d2\u76f8\u7b49\uff0c\u4e24\u76f4\u7ebf\u5e73\u884c;<\/p>\n

[3]\u5bf9\u9876\u89d2\u76f8\u7b49;BD\u3001CE\u3001\u540c\u4f4d\u89d2\u76f8\u7b49\uff0c\u4e24\u76f4\u7ebf\u5e73\u884c;\u4e24\u76f4\u7ebf\u5e73\u884c\uff0c\u540c\u4f4d\u89d2\u76f8\u7b49;\u7b49\u91cf\u4ee3\u6362;\u5185\u9519\u89d2\u76f8\u7b49\uff0c\u4e24\u76f4\u7ebf\u5e73\u884c;<\/p>\n

22\u3001\u89e3\uff1a\u56e0\u4e3aAD\u2016BC\uff0c\u22202=40\u00b0<\/p>\n

\u6240\u4ee5\u2220ADB=\u22202=40\u00b0<\/p>\n

\u53c8\u56e0\u4e3a\u22201=78\u00b0<\/p>\n

\u6240\u4ee5\u2220ADC=\u2220ADB+\u22201=40\u00b0+78\u00b0=118\u00b0<\/p>\n

23\u3001\u89e3\uff1a\u56e0\u4e3a<\/p>\n

\u6240\u4ee5\u2220DCE=90\u00b0<\/p>\n

\u56e0\u4e3a<\/p>\n

\u6240\u4ee5\u2220ACD=134\u00b0<\/p>\n

\u53c8\u56e0\u4e3a<\/p>\n

\u6240\u4ee5\u2220BAC=134\u00b0<\/p>\n

\u6240\u4ee5\u2220BAC=\u2220ACD<\/p>\n

\u6240\u4ee5<\/p>\n

24\u3001180\u00b0\u3001360\u00b0\u3001540\u00b0\u3001(n-1)180\u00b0<\/p>\n

\u4e03\u5e74\u7ea7\u6691\u5047\u4f5c\u4e1a<\/strong>\u6570\u5b66<\/strong>\u7b54\u6848<\/strong><\/p>\n

1. C 2. D 3. C 4. A 5. D 6. C 7. B 8. B 9. D 10. D<\/p>\n

11. 4<\/p>\n

12. 39\u00b043\u2032\uff0c77\u00b021\u203248\u2033<\/p>\n

13. 22<\/p>\n

14. AC\uff0cBD\uff0c\u2220ACB\u3001\u2220ADC\u3001\u2220CDB\uff0c\u2220ACD\u3001\u2220B\uff0c\u2220BCD<\/p>\n

15. 162\u00b0\u3001108\u00b0<\/p>\n

16. 20\u00b0<\/p>\n

17. 65\u00b0<\/p>\n

18. 2005\u5e74<\/p>\n

19. 9\uff0c6<\/p>\n

20. 105\u00b0.<\/p>\n

21. \u56e0\u4e3aE\u662fAC\u4e2d\u70b9\uff0cF\u662fBD\u4e2d\u70b9\uff0c \u6240\u4ee5AE=EC\uff0cDF=FB. \u53c8\u56e0\u4e3aEF=a\uff0cCD=b<\/p>\n

\u6240\u4ee5EC+DF=EF-CD=a-b \uff0c \u6240\u4ee5AE+FB=EC+DF=a-b\uff0c<\/p>\n

\u6240\u4ee5AB=AE+EF+FB=(AE+FB)+EF=a-b+a=2a-b\uff0c \u5373AB=2a-B.<\/p>\n

22.(1)\u2460\u2220AOC=\u22201.\u7406\u7531\u662f\uff1a\u56e0\u4e3a\u2220COD\u662f\u76f4\u89d2\uff0c\u6240\u4ee5\u2220AOC+\u22202=90\u00b0\uff0c\u53c8\u22201+\u22202=90\u00b0\uff0c\u6839\u636e\u540c\u89d2\u7684\u4f59\u89d2\u76f8\u7b49\uff0c\u53ef\u5f97\u2220AOC=\u22201. \u2461\u2220EOB=\u2220COB. \u7406\u7531\u662f\uff1a\u56e0\u4e3a\u22201+\u2220EOB=180\u00b0\uff0c\u2220AOC+\u2220COB=180\u00b0\uff0c\u800c\u2220AOC=\u22201\uff0c\u6839\u636e\u7b49\u89d2\u7684\u8865\u89d2\u76f8\u7b49\uff0c\u53ef\u5f97\u2220EOB=\u2220COB.<\/p>\n

(2)\u4e92\u4f59\u7684\u89d2\uff1a\u22201\u4e0e\u22202\uff0c\u2220AOC\u4e0e\u22202\uff0c\u4e92\u8865\u7684\u89d2\uff1a\u22201\u4e0e\u2220EOB\uff0c\u2220AOC\u4e0e\u2220EOB\uff0c<\/p>\n

\u2220AOC\u4e0e\u2220COB\uff0c\u22201\u4e0e\u2220COB\uff0c\u22202\u4e0e\u2220AOD.<\/p>\n

23. \u56e0\u4e3aEF\u2016AD\uff0c\u6240\u4ee5\u2220AGE=\u2220BAD\uff0c\u2220E=\u2220DAC. \u53c8\u56e0\u4e3aAD\u5e73\u5206\u2220BAC\uff0c\u6240\u4ee5\u2220BAD=\u2220DAC \uff0c\u6240\u4ee5\u2220AGE=\u2220E.<\/p>\n

24. \u56e0\u4e3aEF\u2016CD\uff0c\u6240\u4ee5\u2220BEF=\u2220BCD\uff0c\u2220FED=\u2220EDC .\u53c8\u56e0\u4e3aDE\u2016AC\uff0c\u6240\u4ee5\u2220EDC=\u2220DCA \uff0c\u6240\u4ee5\u2220FED=\u2220DCA \uff0c\u56e0\u4e3aCD\u5e73\u5206\u2220ACB \uff0c\u6240\u4ee5\u2220DCA=\u2220BCD\uff0c\u6240\u4ee5\u2220BEF=\u2220FED\uff0c\u5373EF\u5e73\u5206\u2220BED.<\/p>\n

25. 2+1+3+1+1+2=10.\u5982\u56fe\u6240\u793a\uff1a<\/p>\n

26. (1)362+372+476+212+114-(233+320+475+234+120)=1536-1382=154(\u4e07\u4eba)<\/p>\n

(2)\u5927\u5b66\u7a0b\u5ea6\u4eba\u6570\u6bd4\u4f8b\u9010\u6e10\u63d0\u9ad8(\u7b54\u6848\u4e0d\u552f\u4e00)<\/p>\n

27. \u5982\u56fe\u6240\u793a\uff1a<\/p>\n

28.(1) \u56e0\u4e3aCB\u2016OA\uff0c\u2220C=\u2220OAB=100\u00b0\uff0c\u6240\u4ee5\u2220COA=180\u00b0-100\u00b0=80\u00b0\uff0c\u53c8\u56e0\u4e3aE\u3001F\u5728CB\u4e0a\uff0c\u2220FOB=\u2220AOB\uff0cOE\u5e73\u5206\u2220COF\uff0c\u6240\u4ee5\u2220EOB= \u2220COA= \u00d780\u00b0=40\u00b0.<\/p>\n

(2)\u4e0d\u53d8\uff0c\u56e0\u4e3aCB\u2016OA\uff0c\u6240\u4ee5\u2220CBO=\u2220BOA\uff0c\u53c8\u2220FOB=\u2220AOB\uff0c\u6240\u4ee5\u2220FOB=\u2220OBC\uff0c\u800c\u2220FOB+\u2220OBC=\u2220OFC\uff0c\u5373\u2220OFC=2\u2220OBC\uff0c\u6240\u4ee5\u2220OBC\uff1a\u2220OFC=1\uff1a2.<\/p>\n

(3)\u5b58\u5728\u67d0\u79cd\u60c5\u51b5\uff0c\u4f7f\u2220OEC=\u2220OBA\uff0c\u6b64\u65f6\u2220OEC=\u2220OBA=60\u00b0.\u7406\u7531\u5982\u4e0b\uff1a\u56e0\u4e3a \u2220COE+\u2220CEO+\u2220C=180\u00b0\uff0c\u2220BOA+\u2220OAB+\u2220ABO=180\u00b0\uff0c\u4e14\u2220OEC=\u2220OBA\uff0c\u2220C=\u2220OAB=100\u00b0\uff0c\u6240\u4ee5\u2220COE =\u2220BOA\uff0c\u53c8\u56e0\u4e3a\u2220FOB=\u2220AOB\uff0cOE\u5e73\u5206\u2220COF\uff0c\u6240\u4ee5\u2220BOA=\u2220BOF=\u2220FOE=\u2220EOC= \u2220COA=20\u00b0\uff0c\u6240\u4ee5\u2220OEC=\u2220OBA=60\u00b0.<\/p>\n

\n

<\/em>\u4e03\u5e74\u7ea7\u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u53c2\u8003\u7b54\u6848\u76f8\u5173\u6587\u7ae0\uff1a<\/strong><\/p>\n

\u2605 2021\u4e03\u5e74\u7ea7\u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u53c2\u8003\u7b54\u6848\u5927\u5168<\/p>\n

\u2605 2021\u6700\u65b0\u4e03\u5e74\u7ea7\u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u7b54\u6848<\/p>\n

\u2605 2021\u4e03\u5e74\u7ea7\u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u6807\u51c6\u7b54\u6848<\/p>\n

\u2605 2021\u521d\u4e00\u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u7b54\u6848<\/p>\n

\u2605 \u4e03\u5e74\u7ea7\u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u53c2\u8003\u7b54\u68482021\u5e74<\/p>\n

\u2605 \u4e03\u5e74\u7ea7\u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u7b54\u6848\u5f52\u7eb3<\/p>\n

\u2605 2021\u6700\u65b0\u521d\u4e00\u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u7b54\u6848<\/p>\n

\u2605 \u521d\u4e00\u6570\u5b66\u4e0b\u518c\u6691\u5047\u4f5c\u4e1a\u7b54\u6848\u5fc5\u5907<\/p>\n

\u2605 \u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u7b54\u6848\u4e03\u5e74\u7ea72021<\/p>\n

\u2605 \u521d\u4e002021\u6570\u5b66\u6691\u5047\u4f5c\u4e1a\u7b54\u6848\u5927\u5168<\/p>\n","protected":false},"excerpt":{"rendered":"

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