{"id":16275,"date":"2026-01-24T15:51:25","date_gmt":"2026-01-24T07:51:25","guid":{"rendered":"https:\/\/www.aiersheng.cc\/?p=16275"},"modified":"2026-01-24T15:51:26","modified_gmt":"2026-01-24T07:51:26","slug":"2024-%e5%b9%b4%e6%b5%99%e6%b1%9f%e7%9c%81%e5%8d%95%e7%8b%ac%e6%8b%9b%e7%94%9f%e8%80%83%e8%af%95%e6%96%87%e5%8c%96%e8%af%be%e8%80%83%e8%af%95%e6%95%b0%e5%ad%a6%e8%af%95%e9%a2%98%e5%8d%b7","status":"publish","type":"post","link":"https:\/\/www.aiersheng.cc\/?p=16275","title":{"rendered":"2024 \u5e74\u6d59\u6c5f\u7701\u5355\u72ec\u62db\u751f\u8003\u8bd5\u6587\u5316\u8bfe\u8003\u8bd5\u6570\u5b66\u8bd5\u9898\u5377"},"content":{"rendered":"

2024 \u5e74\u6d59\u6c5f\u7701\u5355\u72ec\u62db\u751f\u8003\u8bd5\u6587\u5316\u8bfe\u8003\u8bd5\u6570\u5b66\u8bd5\u9898\u5377<\/h1>\n
\u00a0<\/div>\n

\u4e00\u3001\u5355\u9879\u9009\u62e9\u9898\uff08\u672c\u5927\u9898\u5171 20 \u5c0f\u9898\uff0c1-10 \u5c0f\u9898\u6bcf\u5c0f\u9898 2 \u5206\uff0c11-20 \u5c0f\u9898\u6bcf\u5c0f\u9898 3 \u5206\uff0c\u5171 50 \u5206\uff09<\/h2>\n
\u00a0<\/div>\n
    \n
  1. \n
    \u5df2\u77e5\u96c6\u5408M={2,e,3}<\/span>\uff0c\u96c6\u5408N={e,3,\u03c0}<\/span>\uff0c\u5219M\u2229N=<\/span>\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. {2,e}<\/span><\/p>\n

    \u00a0<\/div>\n

    B. {e,3}<\/span><\/p>\n

    \u00a0<\/div>\n

    C. {e,\u03c0}<\/span><\/p>\n

    \u00a0<\/div>\n

    D. {2,e,3,\u03c0}<\/span><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  2. \n
    \u5df2\u77e5\u89d2\u03b2<\/span>\u6ee1\u8db3390\u2218<\u03b2<510\u2218<\/span>\uff0c\u5219\u89d23\u03b2\u200b<\/span>\u662f\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. \u7b2c\u4e00\u8c61\u9650\u89d2<\/p>\n

    \u00a0<\/div>\n

    B. \u7b2c\u4e8c\u8c61\u9650\u89d2<\/p>\n

    \u00a0<\/div>\n

    C. \u7b2c\u4e09\u8c61\u9650\u89d2<\/p>\n

    \u00a0<\/div>\n

    D. \u7b2c\u56db\u8c61\u9650\u89d2<\/p><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  3. \n
    \u76f4\u7ebfx+y\u22127=0<\/span>\u7684\u503e\u659c\u89d2\u4e3a\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. 45\u2218<\/span><\/p>\n

    \u00a0<\/div>\n

    B. 60\u2218<\/span><\/p>\n

    \u00a0<\/div>\n

    C. 120\u2218<\/span><\/p>\n

    \u00a0<\/div>\n

    D. 135\u2218<\/span><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  4. \n
    \u51fd\u6570f(x)=1\u2212x\u200blog3\u200b(4\u2212x2)\u200b<\/span>\u7684\u5b9a\u4e49\u57df\u4e3a\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. (\u22122,1)\u222a(1,2)<\/span><\/p>\n

    \u00a0<\/div>\n

    B. (\u22122,1)<\/span><\/p>\n

    \u00a0<\/div>\n

    C. (\u22122,2)<\/span><\/p>\n

    \u00a0<\/div>\n

    D. (\u2212\u221e,1)<\/span><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  5. \n
    \u4e0d\u7b49\u5f0f\u22233x+2\u2223\u22655<\/span>\u7684\u89e3\u96c6\u4e3a\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. [1,+\u221e)<\/span><\/p>\n

    \u00a0<\/div>\n

    B. (\u2212\u221e,\u221237\u200b]<\/span><\/p>\n

    \u00a0<\/div>\n

    C. [\u221237\u200b,1]<\/span><\/p>\n

    \u00a0<\/div>\n

    D. (\u2212\u221e,\u221237\u200b]\u222a[1,+\u221e)<\/span><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  6. \n
    \u82e5\u70b9P(a,2)<\/span>\u5230\u76f4\u7ebf3x\u22124y\u22125=0<\/span>\u7684\u8ddd\u79bb\u4e3a 2\uff0c\u5219\u5b9e\u6570a=<\/span>\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. 1<\/p>\n

    \u00a0<\/div>\n

    B. \u2212323\u200b<\/span><\/p>\n

    \u00a0<\/div>\n

    C. 1<\/span>\u6216323\u200b<\/span><\/p>\n

    \u00a0<\/div>\n

    D. \u22121<\/span>\u6216323\u200b<\/span><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  7. \n
    \u73b0\u6709 4 \u540d\u961f\u5458\u548c 1 \u540d\u6559\u7ec3\u6392\u6210\u4e00\u6392\u5408\u5f71\u7559\u5ff5\uff0c\u6559\u7ec3\u4e0d\u6392\u4e24\u7aef\uff0c\u5219\u4e0d\u540c\u7684\u6392\u6cd5\u5171\u6709\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. 120 \u79cd<\/p>\n

    \u00a0<\/div>\n

    B. 72 \u79cd<\/p>\n

    \u00a0<\/div>\n

    C. 48 \u79cd<\/p>\n

    \u00a0<\/div>\n

    D. 24 \u79cd<\/p><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  8. \n
    \u5df2\u77e5m<\/span>\uff0cn<\/span>\u7686\u4e3a\u5b9e\u6570\uff0c\u5219 \u201c\u2223m\u2223+n\u200b=0<\/span>\u201d \u662f \u201cmn=0<\/span>\u201d \u7684\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. \u5145\u5206\u4e0d\u5fc5\u8981\u6761\u4ef6<\/p>\n

    \u00a0<\/div>\n

    B. \u5fc5\u8981\u4e0d\u5145\u5206\u6761\u4ef6<\/p>\n

    \u00a0<\/div>\n

    C. \u5145\u8981\u6761\u4ef6<\/p>\n

    \u00a0<\/div>\n

    D. \u65e2\u4e0d\u5145\u5206\u4e5f\u4e0d\u5fc5\u8981\u6761\u4ef6<\/p><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  9. \n
    \u5df2\u77e5\u6570\u5217{an\u200b}<\/span>\u4e3a\u7b49\u5dee\u6570\u5217\uff0c\u4e14a2\u200b+a3\u200b+a5\u200b+a6\u200b=20<\/span>\uff0c\u5219a4\u200b=<\/span>\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. 2<\/p>\n

    \u00a0<\/div>\n

    B. 3<\/p>\n

    \u00a0<\/div>\n

    C. 4<\/p>\n

    \u00a0<\/div>\n

    D. 5<\/p><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  10. \n
    \u8bbe\u6247\u5f62\u7684\u5706\u5fc3\u89d2\u4e3a\u03b8<\/span>\uff0c\u82e5\u89d2\u03b8=2rad<\/span>\uff0c\u5219\u4e0b\u5217\u4e0d\u7b49\u5f0f\u6b63\u786e\u7684\u662f\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. sin\u03b8>0<\/span><\/p>\n

    \u00a0<\/div>\n

    B. cos\u03b8>0<\/span><\/p>\n

    \u00a0<\/div>\n

    C. tan\u03b8>0<\/span><\/p>\n

    \u00a0<\/div>\n

    D. sin\u03b8tan\u03b8>0<\/span><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  11. \n
    \u5df2\u77e5a=log2\u200b3<\/span>\uff0cb=log3\u200b10<\/span>\uff0cc=2<\/span>\uff0c\u5219\u4e0b\u5217\u4e0d\u7b49\u5f0f\u6b63\u786e\u7684\u662f\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. c<b<a<\/span><\/p>\n

    \u00a0<\/div>\n

    B. c<a<b<\/span><\/p>\n

    \u00a0<\/div>\n

    C. a<c<b<\/span><\/p>\n

    \u00a0<\/div>\n

    D. a<b<c<\/span><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  12. \n
    \u51fd\u6570f(x)<\/span>\u7684\u56fe\u50cf\u5982\u56fe\u6240\u793a\uff0c\u4e0b\u5217\u533a\u95f4\u4e2d\u51fd\u6570f(x)<\/span>\u4e0e\u2223f(x)\u2223<\/span>\u5747\u4e3a\u5355\u8c03\u9012\u589e\u7684\u662f\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. (\u22122,\u22121.6)<\/span><\/p>\n

    \u00a0<\/div>\n

    B. (\u22121,\u22120.5)<\/span><\/p>\n

    \u00a0<\/div>\n

    C. (0,0.5)<\/span><\/p>\n

    \u00a0<\/div>\n

    D. (0.5,1.5)<\/span><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  13. \n
    \u5df2\u77e5m<\/span>\uff0cn<\/span>\u7686\u4e3a\u6b63\u6570\uff0c\u4e142m+n=1<\/span>\uff0c\u5219m1\u200b+nm\u200b<\/span>\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. \u6709\u6700\u5c0f\u503c 4<\/p>\n

    \u00a0<\/div>\n

    B. \u6709\u6700\u5927\u503c 4<\/p>\n

    \u00a0<\/div>\n

    C. \u6709\u6700\u5c0f\u503c29\u200b<\/span><\/p>\n

    \u00a0<\/div>\n

    D. \u6709\u6700\u5927\u503c29\u200b<\/span><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  14. \n
    \u968f\u7740\u5168\u6c11\u5065\u8eab\u7406\u5ff5\u6df1\u5165\u4eba\u5fc3\uff0c\u8d8a\u6765\u8d8a\u591a\u4eba\u5728\u6625\u6696\u82b1\u5f00\u65f6\u8282\u6765\u5230\u6237\u5916\uff0c\u4eab\u53d7\u8fd0\u52a8\u4e50\u8da3\u3002\u5df2\u77e5\u67d0\u5f92\u6b65\u8def\u7ebf\u5168\u7a0b\u7531\u4e0a\u5761\u548c\u4e0b\u5761\u4e24\u6bb5\u6784\u6210\u3002\u5047\u8bbe\u67d0\u4eba\u5f92\u6b65\u4e0a\u5761\u548c\u4e0b\u5761\u7684\u901f\u5ea6\u5747\u4e3a\u5300\u901f\uff0c\u4e14\u5f92\u6b65\u7684\u8def\u7a0by(km)<\/span>\u4e0e\u65f6\u95f4x(h)<\/span>\u7684\u51fd\u6570\u56fe\u50cf\u5982\u56fe\u6240\u793a\uff0c\u5219\u5f92\u6b65 3 \u5c0f\u65f6 30 \u5206\u949f\u7684\u8def\u7a0b\u662f\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. 6.125km<\/p>\n

    \u00a0<\/div>\n

    B. 11.2km<\/p>\n

    \u00a0<\/div>\n

    C. 8.3km<\/p>\n

    \u00a0<\/div>\n

    D. 10.475km<\/p><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  15. \n
    \u82e5\u53cc\u66f2\u7ebf4×2\u200b\u22129y2\u200b=1<\/span>\u4e0e\u76f4\u7ebfx=m<\/span>\u6709\u4e24\u4e2a\u4e0d\u540c\u7684\u4ea4\u70b9\uff0c\u5219\u5b9e\u6570m<\/span>\u7684\u53d6\u503c\u8303\u56f4\u662f\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. (\u2212\u221e,\u22122)\u222a(2,+\u221e)<\/span><\/p>\n

    \u00a0<\/div>\n

    B. (\u2212\u221e,\u22122]\u222a[2,+\u221e)<\/span><\/p>\n

    \u00a0<\/div>\n

    C. (\u22122,2)<\/span><\/p>\n

    \u00a0<\/div>\n

    D. [\u22122,2]<\/span><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  16. \n
    \u5218\u5fbd\u6ce8\u300a\u4e5d\u7ae0\u7b97\u672f\u300b\u4e2d\uff0c\u5c06\u5e95\u9762\u4e3a\u76f4\u89d2\u4e09\u89d2\u5f62\u4e14\u4fa7\u68f1\u5782\u76f4\u4e8e\u5e95\u9762\u7684\u4e09\u68f1\u67f1\u79f0\u4e3a \u201c\u5811\u5835\u201d\uff1b\u5c06\u5e95\u9762\u4e3a\u77e9\u5f62\uff0c\u4e00\u6761\u4fa7\u68f1\u5782\u76f4\u4e8e\u5e95\u9762\u7684\u56db\u68f1\u9525\u79f0\u4e3a \u201c\u9633\u9a6c\u201d\uff1b\u5c06\u56db\u4e2a\u9762\u5747\u4e3a\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u56db\u9762\u4f53\u79f0\u4e3a \u201c\u9cd6\u81d1\u201d\u3002\u5982\u56fe\u6240\u793a\uff0c\u5811\u5835ABC\u2212A1\u200bB1\u200bC1\u200b<\/span>\u53ef\u659c\u89e3\u4e3a \u201c\u9633\u9a6c\u201dA1\u200b\u2212BCC1\u200bB1\u200b<\/span>\u548c \u201c\u9cd6\u81d1\u201dA1\u200b\u2212ABC<\/span>\u4e24\u90e8\u5206\uff0c\u5219 \u201c\u9633\u9a6c\u201d \u4e0e \u201c\u9cd6\u81d1\u201d \u7684\u4f53\u79ef\u4e4b\u6bd4\u4e3a\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. 1:2<\/p>\n

    \u00a0<\/div>\n

    B. 1:1<\/p>\n

    \u00a0<\/div>\n

    C. 2:1<\/p>\n

    \u00a0<\/div>\n

    D. 3:1<\/p><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  17. \n
    (x\u22122y)6<\/span>\u7684\u4e8c\u9879\u5c55\u5f00\u5f0f\u4e2d\uff0c\u4e8c\u9879\u5f0f\u7cfb\u6570\u6700\u5927\u7684\u9879\u4e3a\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. \u2212160x3y3<\/span><\/p>\n

    \u00a0<\/div>\n

    B. 60x4y2<\/span><\/p>\n

    \u00a0<\/div>\n

    C. 160x3y3<\/span><\/p>\n

    \u00a0<\/div>\n

    D. 240x2y4<\/span><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  18. \n
    \u5728\u25b3ABC<\/span>\u4e2d\uff0c\u5df2\u77e5\u70b9A<\/span>\u7684\u5750\u6807\u4e3a(1,\u22122)<\/span>\uff0c\u70b9B<\/span>\u7684\u5750\u6807\u4e3a(2,1)<\/span>\uff0cD<\/span>\uff0cE<\/span>\u5206\u522b\u4e3a\u8fb9AC<\/span>\uff0cBC<\/span>\u7684\u4e2d\u70b9\uff0c\u5219\u5411\u91cfDE<\/span>\u7684\u5750\u6807\u4e3a\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. (\u221221\u200b,\u221223\u200b)<\/span><\/p>\n

    \u00a0<\/div>\n

    B. (21\u200b,23\u200b)<\/span><\/p>\n

    \u00a0<\/div>\n

    C. (\u22121,\u22123)<\/span><\/p>\n

    \u00a0<\/div>\n

    D. (1,3)<\/span><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  19. \n
    \u51fd\u6570y=Asin(\u03c9x+\u03c6)(A>0,\u03c9>0,\u2223\u03c6\u2223\u22642\u03c0\u200b)<\/span>\u90e8\u5206\u56fe\u50cf\u5982\u56fe\u6240\u793a\uff0cM(2,3\u200b)<\/span>\u662f\u56fe\u50cf\u4e0a\u7684\u6700\u9ad8\u70b9\uff0cN(4,\u22123\u200b)<\/span>\u662f\u4e0eM<\/span>\u76f8\u90bb\u7684\u4e00\u4e2a\u6700\u4f4e\u70b9\uff0c\u5219\u51fd\u6570\u7684\u89e3\u6790\u5f0f\u4e3a\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. y=3\u200bsin(2x\u22122\u03c0\u200b)<\/span><\/p>\n

    \u00a0<\/div>\n

    B. y=2sin(21\u200bx\u22122\u03c0\u200b)<\/span><\/p>\n

    \u00a0<\/div>\n

    C. y=3\u200bsin(2\u03c0\u200bx+2\u03c0\u200b)<\/span><\/p>\n

    \u00a0<\/div>\n

    D. y=3\u200bsin(2\u03c0\u200bx\u22122\u03c0\u200b)<\/span><\/div>\n

    \u00a0<\/div>\n<\/li>\n
  20. \n
    \u76f4\u7ebfl<\/span>\u8fc7\u629b\u7269\u7ebfx2=8y<\/span>\u7684\u7126\u70b9\uff0c\u4e14\u4e0e\u629b\u7269\u7ebf\u4ea4\u4e8eM(x1\u200b,y1\u200b)<\/span>\uff0cN(x2\u200b,y2\u200b)<\/span>\u4e24\u70b9\uff0c\u82e5x1\u200b+x2\u200b=4<\/span>\uff0c\u5219\u2223MN\u2223=<\/span>\uff08 \uff09<\/p>\n
    \u00a0<\/div>\n

    A. 6<\/p>\n

    \u00a0<\/div>\n

    B. 8<\/p>\n

    \u00a0<\/div>\n

    C. 10<\/p>\n

    \u00a0<\/div>\n

    D. 12<\/p><\/div>\n

    \u00a0<\/div>\n<\/li>\n<\/ol>\n
    \u00a0<\/div>\n

    \u4e8c\u3001\u586b\u7a7a\u9898\uff08\u672c\u5927\u9898\u5171 7 \u5c0f\u9898\uff0c\u6bcf\u5c0f\u9898 4 \u5206\uff0c\u5171 28 \u5206\uff09<\/h2>\n
    \u00a0<\/div>\n
      \n
    1. \n
      \u67d0\u8f66\u7ad9\u6709A<\/span>\u3001B<\/span>\u3001C<\/span>\u3001D<\/span>\u56db\u4e2a\u51fa\u53e3\uff0c\u4e58\u5ba2\u7532\u4ece\u4e2d\u968f\u673a\u9009\u4e00\u4e2a\u51fa\u53e3\u51fa\u7ad9\uff0c\u5219\u9009\u62e9C<\/span>\u51fa\u53e3\u7684\u6982\u7387\u662f________\u3002<\/div>\n
      \u00a0<\/div>\n<\/li>\n
    2. \n
      \u5df2\u77e5\u65b9\u7a0bx2+y2\u22122x+4y\u22123k=0<\/span>\u8868\u793a\u4e00\u4e2a\u5706\uff0c\u5219\u5b9e\u6570k<\/span>\u7684\u53d6\u503c\u8303\u56f4\u662f________\u3002<\/div>\n
      \u00a0<\/div>\n<\/li>\n
    3. \n
      \u5df2\u77e5cos\u03b8=\u221241\u200b<\/span>\uff0c\u03c0<\u03b8<23\u03c0\u200b<\/span>\uff0c\u5219sin(2\u03b8+2024\u03c0)=<\/span>________\u3002<\/div>\n
      \u00a0<\/div>\n<\/li>\n
    4. \n
      \u5df2\u77e5\u53cc\u66f2\u7ebfa2x2\u200b\u2212b2y2\u200b=1(a>0,b>0)<\/span>\u7684\u7126\u8ddd\u4e3a 8\uff0c\u79bb\u5fc3\u7387\u4e3a 2\uff0c\u5219\u5176\u6e10\u8fd1\u7ebf\u65b9\u7a0b\u4e3a________\u3002<\/div>\n
      \u00a0<\/div>\n<\/li>\n
    5. \n
      \u5df2\u77e5\u6570\u5217{an\u200b}<\/span>\u6ee1\u8db3a1\u200b=2<\/span>\uff0can+1\u200b=an\u200b\u2212an\u200b1\u200b<\/span>\uff0c\u5219a4\u200b=<\/span>________\u3002<\/div>\n
      \u00a0<\/div>\n<\/li>\n
    6. \n
      \u5982\u56fe\u6240\u793a\uff0c\u67d0\u51e0\u4f55\u4f53\u662f\u4e00\u4e2a\u5706\u9525\u4e0e\u4e00\u4e2a\u534a\u7403\u7684\u7ec4\u5408\u4f53\uff0c\u82e5\u5706\u9525\u7684\u9ad8\u4e3a62\u200b<\/span>\uff0c\u5706\u9525\u5e95\u9762\u7684\u76f4\u5f84\u4e0e\u534a\u7403\u7684\u76f4\u5f84\u7686\u4e3a 6\uff0c\u5219\u8be5\u51e0\u4f55\u4f53\u7684\u8868\u9762\u79efS=<\/span>________\u3002<\/div>\n
      \u00a0<\/div>\n<\/li>\n
    7. \n
      \u8bbe\u51fd\u6570f(x)={2x,log16\u200bx,\u200bx\u2208(\u2212\u221e,1]x\u2208(1,+\u221e)\u200b<\/span>\uff0c\u5219\u6ee1\u8db3f(x)=41\u200b<\/span>\u7684x<\/span>\u503c\u4e3a________\u3002<\/div>\n
      \u00a0<\/div>\n<\/li>\n<\/ol>\n
      \u00a0<\/div>\n

      \u4e09\u3001\u89e3\u7b54\u9898\uff08\u672c\u5927\u9898\u5171 7 \u5c0f\u9898\uff0c\u5171 72 \u5206\uff09\uff08\u89e3\u7b54\u5e94\u5199\u51fa\u6587\u5b57\u8bf4\u660e\u53ca\u6f14\u7b97\u6b65\u9aa4\uff09<\/h2>\n
      \u00a0<\/div>\n
        \n
      1. \n
        \uff08\u672c\u9898 9 \u5206\uff09\u5df2\u77e5\u89d2\u03b1<\/span>\u4e3a\u7b2c\u4e8c\u8c61\u9650\u89d2\uff0c\u4e14sin\u03b1=525\u200b\u200b<\/span><\/p>\n
        \u00a0<\/div>\n

        \uff081\uff09\u6c42cos\u03b1<\/span>\u548ctan\u03b1<\/span>\uff1b\uff084 \u5206\uff09<\/p>\n

        \u00a0<\/div>\n

        \uff082\uff09\u5c06\u89d2\u03b1<\/span>\u7684\u7ec8\u8fb9\u7ed5\u539f\u70b9\u6309\u987a\u65f6\u9488\u65b9\u5411\u65cb\u8f6c45\u2218<\/span>\u5f62\u6210\u89d2\u03b2<\/span>\uff0c\u6c42tan\u03b2<\/span>\u3002\uff085 \u5206\uff09<\/div>\n

        \u00a0<\/div>\n<\/li>\n
      2. \n
        \uff08\u672c\u9898 9 \u5206\uff09\u5df2\u77e5\u5706C<\/span>\u7ecf\u8fc7\u70b9(2,3)<\/span>\u548c(1,0)<\/span>\uff0c\u4e14\u5706\u5fc3\u5728y<\/span>\u8f74\u4e0a\u3002<\/p>\n
        \u00a0<\/div>\n

        \uff081\uff09\u6c42\u5706C<\/span>\u7684\u6807\u51c6\u65b9\u7a0b\uff1b\uff084 \u5206\uff09<\/p>\n

        \u00a0<\/div>\n

        \uff082\uff09\u76f4\u7ebfl<\/span>\u7ecf\u8fc7\u5750\u6807\u539f\u70b9\uff0c\u4e14\u4e0e\u5706C<\/span>\u76f8\u4ea4\u4e8eA<\/span>\uff0cB<\/span>\u4e24\u70b9\uff0c\u82e5\u2223AB\u2223=23\u200b<\/span>\uff0c\u6c42\u76f4\u7ebfl<\/span>\u7684\u65b9\u7a0b\u3002\uff085 \u5206\uff09<\/div>\n

        \u00a0<\/div>\n<\/li>\n
      3. \n
        \uff08\u672c\u9898 10 \u5206\uff09\u5728\u25b3ABC<\/span>\u4e2d\uff0c\u5df2\u77e5AB=AC=5<\/span>\uff0ccosA=257\u200b<\/span><\/p>\n
        \u00a0<\/div>\n

        \uff081\uff09\u6c42BC<\/span>\u7684\u957f\uff1b\uff085 \u5206\uff09<\/p>\n

        \u00a0<\/div>\n

        \uff082\uff09\u82e5D<\/span>\u4e3aAC<\/span>\u5ef6\u957f\u7ebf\u4e0a\u4e00\u70b9\uff0c\u4e14\u25b3BCD<\/span>\u7684\u9762\u79ef\u4e3a536\u200b<\/span>\uff0c\u6c42CD<\/span>\u7684\u957f\u3002\uff085 \u5206\uff09<\/div>\n

        \u00a0<\/div>\n<\/li>\n
      4. \n
        \uff08\u672c\u9898 10 \u5206\uff09\u5982\u56fe\u6240\u793a\uff0c\u83f1\u5f62ABCD<\/span>\u7684\u8fb9\u957f\u4e3a 3\uff0cBD=4<\/span>\uff0c\u70b9P<\/span>\u662f\u5e73\u9762ABCD<\/span>\u5916\u4e00\u70b9\uff0cPD\u22a5<\/span>\u5e73\u9762ABCD<\/span>\uff0c\u4e14PD=3<\/span>\u3002\u6c42\uff1a<\/p>\n
        \u00a0<\/div>\n

        \uff081\uff09\u56db\u68f1\u9525P\u2212ABCD<\/span>\u7684\u4f53\u79ef\uff1b\uff085 \u5206\uff09<\/p>\n

        \u00a0<\/div>\n

        \uff082\uff09\u4e8c\u9762\u89d2P\u2212AB\u2212C<\/span>\u7684\u5e73\u9762\u89d2\u7684\u6b63\u5207\u503c\u3002\uff085 \u5206\uff09<\/div>\n

        \u00a0<\/div>\n<\/li>\n
      5. \n
        \uff08\u672c\u9898 10 \u5206\uff09\u67d0\u836f\u7269\u8fdb\u5165\u52a8\u7269\u4f53\u5185\u4e00\u6bb5\u65f6\u95f4\u540e\u8fdb\u884c\u5b9e\u65f6\u76d1\u6d4b\uff0c\u836f\u7269\u5728\u8840\u6db2\u4e2d\u7684\u6d53\u5ea6N(\u03bcg\/ml)<\/span>\u4e0e\u65f6\u95f4t(min)<\/span>\u7684\u76d1\u6d4b\u6570\u636e\u5982\u4e0b\u8868\uff1a<\/div>\n
        \u00a0<\/div>\n<\/li>\n<\/ol>\n
        \u00a0<\/div>\n
        \n
        \n\n\n\n\n\n
        t<\/span><\/th>\n0<\/th>\n10<\/th>\n20<\/th>\n30<\/th>\n40<\/th>\n50<\/th>\n60<\/th>\n70<\/th>\n80<\/th>\n90<\/th>\n100<\/th>\n<\/tr>\n<\/thead>\n
        N<\/span><\/td>\n0.84<\/td>\n0.88<\/td>\n0.92<\/td>\n0.98<\/td>\n <\/td>\n <\/td>\n0.92<\/td>\n0.82<\/td>\n <\/td>\n0.58<\/td>\n0.46<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n
        \u00a0<\/div>\n
        \uff081\uff09\u89c2\u5bdf\u6570\u636e\uff0c\u6bd4\u8f83[10,20]<\/span>\u548c[20,30]<\/span>\u8fd9\u4e24\u4e2a\u65f6\u95f4\u6bb5\uff0c\u54ea\u4e2a\u65f6\u95f4\u6bb5\u7684\u836f\u7269\u6d53\u5ea6\u5e73\u5747\u589e\u901f\u5feb\uff1b\uff082 \u5206\uff09<\/p>\n
        \u00a0<\/div>\n

        \uff082\uff09\u5f53t\u2208[70,100]<\/span>\u65f6\uff0cN<\/span>\u662f\u5173\u4e8et<\/span>\u7684\u4e00\u6b21\u51fd\u6570\uff0c\u6c42N(80)<\/span>\uff1b\uff084 \u5206\uff09<\/p>\n

        \u00a0<\/div>\n

        \uff083\uff09\u5f53t\u2208(20,70)<\/span>\u65f6\uff0cN<\/span>\u662f\u5173\u4e8et<\/span>\u7684\u4e8c\u6b21\u51fd\u6570\uff0c\u4e14N(t)=\u22120.0002t2+0.016t+0.68<\/span>\uff0c\u6c42t<\/span>\u4e3a\u591a\u5c11\u65f6\u836f\u7269\u6d53\u5ea6\u8fbe\u5230\u6700\u9ad8\uff0c\u5e76\u6c42\u51fa\u6700\u9ad8\u503c\u3002\uff084 \u5206\uff09<\/div>\n

        \u00a0<\/div>\n
          \n
        1. \n
          \uff08\u672c\u9898 12 \u5206\uff09\u5982\u56fe\u6240\u793a\uff0cF1\u200b<\/span>\uff0cF2\u200b<\/span>\u662f\u692d\u57063×2\u200b+b2y2\u200b=1(b>0)<\/span>\u7684\u4e24\u4e2a\u7126\u70b9\uff0c\u4e14\u8be5\u692d\u5706\u8fc7\u70b9A(0,2\u200b)<\/span><\/p>\n
          \u00a0<\/div>\n

          \uff081\uff09\u6c42\u692d\u5706\u7684\u7126\u70b9\u5750\u6807\uff1b\uff083 \u5206\uff09<\/p>\n

          \u00a0<\/div>\n

          \uff082\uff09\u8fc7\u70b9A<\/span>\u7684\u76f4\u7ebf\u4e0eAF2\u200b<\/span>\u5782\u76f4\uff0c\u4ea4\u692d\u5706\u4e8e\u70b9B<\/span>\uff0c\u6c42\u70b9B<\/span>\u7684\u5750\u6807\uff1b\uff085 \u5206\uff09<\/p>\n

          \u00a0<\/div>\n

          \uff083\uff09\u6c42\u56db\u8fb9\u5f62ABF1\u200bF2\u200b<\/span>\u7684\u9762\u79ef\u3002\uff084 \u5206\uff09<\/div>\n

          \u00a0<\/div>\n<\/li>\n
        2. \n
          \uff08\u672c\u9898 12 \u5206\uff09\u5982\u56fe\u6240\u793a\uff0c\u5c06\u957f\u4e3a 5\uff0c\u5bbd\u4e3a 3 \u7684\u957f\u65b9\u5f62\u5206\u522b\u6cbf\u4e24\u6761\u5bf9\u79f0\u8f74\u5bf9\u6298\uff0c\u5bf9\u6298 1 \u6b21\u5f97\u523025\u200b\u00d73<\/span>\u548c5\u00d723\u200b<\/span>\u4e24\u79cd\u4e0d\u540c\u7684\u957f\u65b9\u5f62\uff0c\u5b83\u4eec\u7684\u9762\u79ef\u4e4b\u548ca1\u200b=15<\/span>\uff0c\u5468\u957f\u4e4b\u548cb1\u200b=24<\/span>\uff1b\u5bf9\u6298 2 \u6b21\u5171\u5f97\u523045\u200b\u00d73<\/span>\uff0c25\u200b\u00d723\u200b<\/span>\uff0c5\u00d743\u200b<\/span>\u4e09\u79cd\u4e0d\u540c\u7684\u957f\u65b9\u5f62\uff0c\u5b83\u4eec\u7684\u9762\u79ef\u4e4b\u548ca2\u200b=445\u200b<\/span>\uff0c\u5468\u957f\u4e4b\u548cb2\u200b=28<\/span>\u3002\u4ee5\u6b64\u7c7b\u63a8\uff0c\u5bf9\u6298n<\/span>\u6b21\u5171\u5f97\u5230n+1<\/span>\u79cd\u4e0d\u540c\u7684\u957f\u65b9\u5f62\uff0c\u5b83\u4eec\u7684\u9762\u79ef\u4e4b\u548c\u4e3aan\u200b<\/span>\uff0c\u5468\u957f\u4e4b\u548c\u4e3abn\u200b<\/span>\uff1a<\/p>\n
          \u00a0<\/div>\n

          \uff081\uff09\u5199\u51faa3\u200b<\/span>\uff0cb3\u200b<\/span>\uff1b\uff084 \u5206\uff09<\/p>\n

          \u00a0<\/div>\n

          \uff082\uff09\u6c42\u6570\u5217{an\u200b}<\/span>\uff0c{bn\u200b}<\/span>\u7684\u901a\u9879\u516c\u5f0f\uff1b\uff084 \u5206\uff09<\/p>\n

          \u00a0<\/div>\n

          \uff083\uff09\u6c42\u6570\u5217{an\u200b}<\/span>\u7684\u524dn<\/span>\u9879\u548cSn\u200b<\/span>\u3002\uff084 \u5206\uff09<\/div>\n<\/li>\n<\/ol>\n


          \n<\/p>\n","protected":false},"excerpt":{"rendered":"

          2024 \u5e74\u6d59\u6c5f\u7701\u5355\u72ec\u62db\u751f\u8003\u8bd5\u6587\u5316\u8bfe\u8003\u8bd5…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[68],"tags":[],"class_list":["post-16275","post","type-post","status-publish","format-standard","hentry","category-zzjy"],"_links":{"self":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/16275","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=16275"}],"version-history":[{"count":0,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/16275\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=16275"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=16275"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=16275"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}