给我一个高数题库网站

\u7ed9\u6211\u4e00\u4efd\u9ad8\u7b49\u6570\u5b66\u9898\u5377\u5b50

\u300a\u9ad8\u7b49\u6570\u5b66\u300b\u8bd5\u53771\uff08\u4e0b\uff09



\u4e00.\u9009\u62e9\u9898\uff083\u520610\uff09

1.\u70b9\u5230\u70b9 \u7684\u8ddd\u79bb \uff08 \uff09.

A.3 B.4 C.5 D.6

2.\u5411\u91cf \uff0c\u5219\u6709\uff08 \uff09.

A.\u2225 B.\u22a5 C. D.

3.\u51fd\u6570 \u7684\u5b9a\u4e49\u57df\u662f\uff08 \uff09.

A. B.

C. D

4.\u4e24\u4e2a\u5411\u91cf \u4e0e \u5782\u76f4\u7684\u5145\u8981\u6761\u4ef6\u662f\uff08 \uff09.

A. B. C. D.

5.\u51fd\u6570 \u7684\u6781\u5c0f\u503c\u662f\uff08 \uff09.

A.2 B. C.1 D.

6.\u8bbe \uff0c\u5219 \uff1d\uff08 \uff09.

A. B. C. D.

7.\u82e5 \u7ea7\u6570 \u6536\u655b\uff0c\u5219\uff08 \uff09.

A. B. C. D.

8.\u5e42\u7ea7\u6570 \u7684\u6536\u655b\u57df\u4e3a\uff08 \uff09.

A. B C. D.

9.\u5e42\u7ea7\u6570 \u5728\u6536\u655b\u57df\u5185\u7684\u548c\u51fd\u6570\u662f\uff08 \uff09.

A. B. C. D.

10.\u5fae\u5206\u65b9\u7a0b \u7684\u901a\u89e3\u4e3a\uff08 \uff09.

A. B. C. D.

\u4e8c.\u586b\u7a7a\u9898\uff084\u52065\uff09

1.\u4e00\u5e73\u9762\u8fc7\u70b9 \u4e14\u5782\u76f4\u4e8e\u76f4\u7ebf \uff0c\u5176\u4e2d\u70b9 \uff0c\u5219\u6b64\u5e73\u9762\u65b9\u7a0b\u4e3a______________________.

2.\u51fd\u6570 \u7684\u5168\u5fae\u5206\u662f______________________________.

3.\u8bbe \uff0c\u5219_____________________________.

4.\u7684\u9ea6\u514b\u52b3\u6797\u7ea7\u6570\u662f___________________________.

5.\u5fae\u5206\u65b9\u7a0b \u7684\u901a\u89e3\u4e3a_________________________________.

\u4e09.\u8ba1\u7b97\u9898\uff085\u52066\uff09

1.\u8bbe \uff0c\u800c \uff0c\u6c42

2.\u5df2\u77e5\u9690\u51fd\u6570 \u7531\u65b9\u7a0b \u786e\u5b9a\uff0c\u6c42

3.\u8ba1\u7b97 \uff0c\u5176\u4e2d.

4.\u5982\u56fe\uff0c\u6c42\u4e24\u4e2a\u534a\u5f84\u76f8\u7b49\u7684\u76f4\u4ea4\u5706\u67f1\u9762\u6240\u56f4\u6210\u7684\u7acb\u4f53\u7684\u4f53\u79ef\uff08 \u4e3a\u534a\u5f84\uff09.



5.\u6c42\u5fae\u5206\u65b9\u7a0b \u5728 \u6761\u4ef6\u4e0b\u7684\u7279\u89e3.

\u56db.\u5e94\u7528\u9898\uff0810\u52062\uff09

1.\u8981\u7528\u94c1\u677f\u505a\u4e00\u4e2a\u4f53\u79ef\u4e3a2\u7684\u6709\u76d6\u957f\u65b9\u4f53\u6c34\u7bb1\uff0c\u95ee\u957f\u3001\u5bbd\u3001\u9ad8\u5404\u53d6\u600e\u6837\u7684\u5c3a\u5bf8\u65f6\uff0c\u624d\u80fd\u4f7f\u7528\u6599\u6700\u7701\uff1f

2..\u66f2\u7ebf \u4e0a\u4efb\u4f55\u4e00\u70b9\u7684\u5207\u7ebf\u659c\u7387\u7b49\u4e8e\u81ea\u539f\u70b9\u5230\u8be5\u5207\u70b9\u7684\u8fde\u7ebf\u659c\u7387\u76842\u500d\uff0c\u4e14\u66f2\u7ebf\u8fc7\u70b9 \uff0c\u6c42\u6b64\u66f2\u7ebf\u65b9\u7a0b



.

\u8bd5\u53771\u53c2\u8003\u7b54\u6848

\u4e00.\u9009\u62e9\u9898 CBCAD ACCBD

\u4e8c.\u586b\u7a7a\u9898

1..

2. .

3. .

4. .

5. .

\u4e09.\u8ba1\u7b97\u9898

1. \uff0c.

2..

3..

4. .

5..

\u56db.\u5e94\u7528\u9898

1.\u957f\u3001\u5bbd\u3001\u9ad8\u5747\u4e3a \u65f6\uff0c\u7528\u6599\u6700\u7701.

2.





\u300a\u9ad8\u6570\u300b\u8bd5\u53772\uff08\u4e0b\uff09

\u4e00.\u9009\u62e9\u9898\uff083\u520610\uff09

1.\u70b9 \uff0c \u7684\u8ddd\u79bb \uff08 \uff09.

A. B. C. D.

2.\u8bbe\u4e24\u5e73\u9762\u65b9\u7a0b\u5206\u522b\u4e3a \u548c \uff0c\u5219\u4e24\u5e73\u9762\u7684\u5939\u89d2\u4e3a\uff08 \uff09.

A. B. C. D.

3.\u51fd\u6570 \u7684\u5b9a\u4e49\u57df\u4e3a\uff08 \uff09.

A. B.

C. D.

4.\u70b9 \u5230\u5e73\u9762 \u7684\u8ddd\u79bb\u4e3a\uff08 \uff09.

A.3 B.4 C.5 D.6

5.\u51fd\u6570 \u7684\u6781\u5927\u503c\u4e3a\uff08 \uff09.

A.0 B.1 C. D.

6.\u8bbe \uff0c\u5219 \uff08 \uff09.

A.6 B.7 C.8 D.9

7.\u82e5\u51e0\u4f55\u7ea7\u6570 \u662f\u6536\u655b\u7684\uff0c\u5219\uff08 \uff09.

A. B. C. D.

8.\u5e42\u7ea7\u6570 \u7684\u6536\u655b\u57df\u4e3a\uff08 \uff09.

A. B. C. D.

9.\u7ea7\u6570 \u662f\uff08 \uff09.

A.\u6761\u4ef6\u6536\u655b B.\u7edd\u5bf9\u6536\u655b C.\u53d1\u6563 D.\u4e0d\u80fd\u786e\u5b9a

10.\u5fae\u5206\u65b9\u7a0b \u7684\u901a\u89e3\u4e3a\uff08 \uff09.

A. B. C. D.

\u4e8c.\u586b\u7a7a\u9898\uff084\u52065\uff09

1.\u76f4\u7ebf \u8fc7\u70b9 \u4e14\u4e0e\u76f4\u7ebf \u5e73\u884c\uff0c\u5219\u76f4\u7ebf \u7684\u65b9\u7a0b\u4e3a__________________________.

2.\u51fd\u6570 \u7684\u5168\u5fae\u5206\u4e3a___________________________.

3.\u66f2\u9762 \u5728\u70b9 \u5904\u7684\u5207\u5e73\u9762\u65b9\u7a0b\u4e3a_____________________________________.

4.\u7684\u9ea6\u514b\u52b3\u6797\u7ea7\u6570\u662f______________________.

5.\u5fae\u5206\u65b9\u7a0b \u5728 \u6761\u4ef6\u4e0b\u7684\u7279\u89e3\u4e3a______________________________.

\u4e09.\u8ba1\u7b97\u9898\uff085\u52066\uff09

1.\u8bbe \uff0c\u6c42

2.\u8bbe \uff0c\u800c \uff0c\u6c42

3.\u5df2\u77e5\u9690\u51fd\u6570 \u7531 \u786e\u5b9a\uff0c\u6c42

4.\u5982\u56fe\uff0c\u6c42\u7403\u9762 \u4e0e\u5706\u67f1\u9762 \uff08 \uff09\u6240\u56f4\u7684\u51e0\u4f55\u4f53\u7684\u4f53\u79ef.



5.\u6c42\u5fae\u5206\u65b9\u7a0b \u7684\u901a\u89e3.

\u56db.\u5e94\u7528\u9898\uff0810\u52062\uff09

1.\u8bd5\u7528\u4e8c\u91cd\u79ef\u5206\u8ba1\u7b97\u7531 \u548c \u6240\u56f4\u56fe\u5f62\u7684\u9762\u79ef.

2.\u5982\u56fe\uff0c\u4ee5\u521d\u901f\u5ea6 \u5c06\u8d28\u70b9\u94c5\u76f4\u4e0a\u629b\uff0c\u4e0d\u8ba1\u963b\u529b\uff0c\u6c42\u8d28\u70b9\u7684\u8fd0\u52a8\u89c4\u5f8b \uff08\u63d0\u793a\uff1a.\u5f53 \u65f6\uff0c\u6709 \uff0c \uff09



\u8bd5\u53772\u53c2\u8003\u7b54\u6848

\u4e00.\u9009\u62e9\u9898 CBABA CCDBA.

\u4e8c.\u586b\u7a7a\u9898

1..

2..

3..

4..

5..

\u4e09.\u8ba1\u7b97\u9898

1..

2. .

3..

4. .

5..

\u56db.\u5e94\u7528\u9898

1..

2. .







\u300a\u9ad8\u7b49\u6570\u5b66\u300b\u8bd5\u53773\uff08\u4e0b\uff09

\u4e00\u3001\u9009\u62e9\u9898\uff08\u672c\u9898\u517110\u5c0f\u9898\uff0c\u6bcf\u98983\u5206\uff0c\u517130\u5206\uff09

1\u3001\u4e8c\u9636\u884c\u5217\u5f0f 2 -3 \u7684\u503c\u4e3a\uff08 \uff09

4 5

A\u300110 B\u300120 C\u300124 D\u300122

2\u3001\u8bbea=i+2j-k,b=2j+3k\uff0c\u5219a\u4e0eb \u7684\u5411\u91cf\u79ef\u4e3a\uff08 \uff09

A\u3001i-j+2k B\u30018i-j+2k C\u30018i-3j+2k D\u30018i-3i+k

3\u3001\u70b9P\uff08-1\u3001-2\u30011\uff09\u5230\u5e73\u9762x+2y-2z-5=0\u7684\u8ddd\u79bb\u4e3a\uff08 \uff09

A\u30012 B\u30013 C\u30014 D\u30015

4\u3001\u51fd\u6570z=xsiny\u5728\u70b9\uff081\uff0c \uff09\u5904\u7684\u4e24\u4e2a\u504f\u5bfc\u6570\u5206\u522b\u4e3a\uff08 \uff09

A\u3001 B\u3001 C\u3001 D\u3001

5\u3001\u8bbex2+y2+z2=2Rx\uff0c\u5219 \u5206\u522b\u4e3a\uff08 \uff09

A\u3001 B\u3001 C\u3001 D\u3001

6\u3001\u8bbe\u5706\u5fc3\u5728\u539f\u70b9\uff0c\u534a\u5f84\u4e3aR\uff0c\u9762\u5bc6\u5ea6\u4e3a \u7684\u8584\u677f\u7684\u8d28\u91cf\u4e3a\uff08 \uff09\uff08\u9762\u79efA=\uff09

A\u3001R2A B\u30012R2A C\u30013R2A D\u3001

7\u3001\u7ea7\u6570 \u7684\u6536\u655b\u534a\u5f84\u4e3a\uff08 \uff09

A\u30012 B\u3001 C\u30011 D\u30013

8\u3001cosx\u7684\u9ea6\u514b\u52b3\u6797\u7ea7\u6570\u4e3a\uff08 \uff09

A\u3001 B\u3001 C\u3001 D\u3001

9\u3001\u5fae\u5206\u65b9\u7a0b(y``)4+(y`)5+y`+2=0\u7684\u9636\u6570\u662f\uff08 \uff09

A\u3001\u4e00\u9636 B\u3001\u4e8c\u9636 C\u3001\u4e09\u9636 D\u3001\u56db\u9636

10\u3001\u5fae\u5206\u65b9\u7a0by``+3y`+2y=0\u7684\u7279\u5f81\u6839\u4e3a\uff08 \uff09

A\u3001-2\uff0c-1 B\u30012\uff0c1 C\u3001-2\uff0c1 D\u30011\uff0c-2

\u4e8c\u3001\u586b\u7a7a\u9898\uff08\u672c\u9898\u51715\u5c0f\u9898\uff0c\u6bcf\u98984\u5206\uff0c\u517120\u5206\uff09

1\u3001\u76f4\u7ebfL1\uff1ax=y=z\u4e0e\u76f4\u7ebfL2\uff1a___________\u3002

\u76f4\u7ebfL3\uff1a____________\u3002

2\u3001\uff080.98\uff092.03\u7684\u8fd1\u4f3c\u503c\u4e3a________,sin100\u7684\u8fd1\u4f3c\u503c\u4e3a___________\u3002

3\u3001\u4e8c\u91cd\u79ef\u5206___________\u3002

4\u3001\u5e42\u7ea7\u6570__________\uff0c__________\u3002

5\u3001\u5fae\u5206\u65b9\u7a0by`=xy\u7684\u4e00\u822c\u89e3\u4e3a___________\uff0c\u5fae\u5206\u65b9\u7a0bxy`+y=y2\u7684\u89e3\u4e3a___________\u3002

\u4e09\u3001\u8ba1\u7b97\u9898\uff08\u672c\u9898\u51716\u5c0f\u9898\uff0c\u6bcf\u5c0f\u98985\u5206\uff0c\u517130\u5206\uff09

1\u3001\u7528\u884c\u5217\u5f0f\u89e3\u65b9\u7a0b\u7ec4 -3x+2y-8z=17

2x-5y+3z=3

x+7y-5z=2















2\u3001\u6c42\u66f2\u7ebfx=t,y=t2,z=t3\u5728\u70b9\uff081\uff0c1\uff0c1\uff09\u5904\u7684\u5207\u7ebf\u53ca\u6cd5\u5e73\u9762\u65b9\u7a0b.











3\u3001\u8ba1\u7b97.











4\u3001\u95ee\u7ea7\u6570













5\u3001\u5c06\u51fd\u6570f(x)=e3x\u5c55\u6210\u9ea6\u514b\u52b3\u6797\u7ea7\u6570









6\u3001\u7528\u7279\u5f81\u6839\u6cd5\u6c42y``+3y`+2y=0\u7684\u4e00\u822c\u89e3













\u56db\u3001\u5e94\u7528\u9898\uff08\u672c\u9898\u51712\u5c0f\u9898\uff0c\u6bcf\u989810\u5206\uff0c\u517120\u5206\uff09

1\u3001\u6c42\u8868\u9762\u79ef\u4e3aa2\u800c\u4f53\u79ef\u6700\u5927\u7684\u957f\u65b9\u4f53\u4f53\u79ef\u3002















2\u3001\u653e\u5c04\u6027\u5143\u7d20\u94c0\u7531\u4e8e\u4e0d\u65ad\u5730\u6709\u539f\u5b50\u653e\u5c04\u51fa\u5fae\u7c92\u5b50\u800c\u53d8\u6210\u5176\u5b83\u5143\u7d20\uff0c\u94c0\u7684\u542b\u91cf\u5c31\u4e0d\u65ad\u51cf\u5c0f\uff0c\u8fd9\u79cd\u73b0\u8c61\u53eb\u505a\u8870\u53d8\u3002\u7531\u539f\u5b50\u7269\u7406\u5b66\u77e5\u9053\uff0c\u94c0\u7684\u8870\u53d8\u901f\u5ea6\u4e0e\u5f53\u65f6\u672a\u8870\u53d8\u7684\u539f\u5b50\u7684\u542b\u91cfM\u6210\u6b63\u6bd4\uff0c\uff08\u5df2\u77e5\u6bd4\u4f8b\u7cfb\u6570\u4e3ak\uff09\u5df2\u77e5t=0\u65f6\uff0c\u94c0\u7684\u542b\u91cf\u4e3aM0\uff0c\u6c42\u5728\u8870\u53d8\u8fc7\u7a0b\u4e2d\u94c0\u542b\u91cfM\uff08t\uff09\u968f\u65f6\u95f4t\u53d8\u5316\u7684\u89c4\u5f8b\u3002









\u53c2\u8003\u7b54\u6848

\u4e00\u3001\u9009\u62e9\u9898

1\u3001D 2\u3001C 3\u3001C 4\u3001A 5\u3001B 6\u3001D 7\u3001C 8\u3001A 9\u3001B

10,A

\u4e8c\u3001\u586b\u7a7a\u9898

1\u3001 2\u30010.96\uff0c0.17365

3\u3001\u043b 4\u30010\uff0c+

5\u3001

\u4e09\u3001\u8ba1\u7b97\u9898

1\u3001 -3 2 -8

\u89e3\uff1a \u25b3= 2 -5 3 = \uff08-3\uff09\u00d7 -5 3 -2\u00d7 2 3 +\uff08-8\uff092 -5 =-138

1 7 -5 7 -5 1 -5



17 2 -8

\u25b3x= 3 -5 3 =17\u00d7 -5 3 -2\u00d73 3 +\uff08-8\uff09\u00d7 3 -5=-138

2 7 -5 7 -5 2 -5 2 7

\u540c\u7406\uff1a

-3 17 -8

\u25b3y= 2 3 3 =276 , \u25b3z= 414

1 2 -5

\u6240\u4ee5\uff0c\u65b9\u7a0b\u7ec4\u7684\u89e3\u4e3a



2\u3001\u89e3\uff1a\u56e0\u4e3ax=t,y=t2,z=t3,

\u6240\u4ee5xt=1,yt=2t,zt=3t2\uff0c

\u6240\u4ee5xt|t=1=1, yt|t=1=2, zt|t=1=3

\u6545\u5207\u7ebf\u65b9\u7a0b\u4e3a\uff1a

\u6cd5\u5e73\u9762\u65b9\u7a0b\u4e3a\uff1a\uff08x-1\uff09+2(y-1)+3(z-1)=0

\u5373x+2y+3z=6

3\u3001\u89e3\uff1a\u56e0\u4e3aD\u7531\u76f4\u7ebfy=1,x=2,y=x\u56f4\u6210\uff0c

\u6240\u4ee5

D\uff1a 1\u2264y\u22642

y\u2264x\u22642

\u6545\uff1a

4\u3001\u89e3\uff1a\u8fd9\u662f\u4ea4\u9519\u7ea7\u6570\uff0c\u56e0\u4e3a

5\u3001\u89e3\uff1a\u56e0\u4e3a

\u75282x\u4ee3x\uff0c\u5f97\uff1a



6\u3001\u89e3\uff1a\u7279\u5f81\u65b9\u7a0b\u4e3ar2+4r+4=0

\u6240\u4ee5\uff0c\uff08r+2\uff092=0

\u5f97\u91cd\u6839r1=r2=-2\uff0c\u5176\u5bf9\u5e94\u7684\u4e24\u4e2a\u7ebf\u6027\u65e0\u5173\u89e3\u4e3ay1=e-2x,y2=xe-2x

\u6240\u4ee5\uff0c\u65b9\u7a0b\u7684\u4e00\u822c\u89e3\u4e3ay=(c1+c2x)e-2x

\u56db\u3001\u5e94\u7528\u9898

1\u3001\u89e3\uff1a\u8bbe\u957f\u65b9\u4f53\u7684\u4e09\u68f1\u957f\u5206\u522b\u4e3ax\uff0cy\uff0cz

\u52192\uff08xy+yz+zx\uff09=a2

\u6784\u9020\u8f85\u52a9\u51fd\u6570

F\uff08x,y,z\uff09=xyz+

\u6c42\u5176\u5bf9x,y,z\u7684\u504f\u5bfc\uff0c\u5e76\u4f7f\u4e4b\u4e3a0\uff0c\u5f97\uff1a

yz+2(y+z)=0

xz+2(x+z)=0

xy+2(x+y)=0

\u4e0e2(xy+yz+zx)-a2=0\u8054\u7acb\uff0c\u7531\u4e8ex,y,z\u5747\u4e0d\u7b49\u4e8e\u96f6

\u53ef\u5f97x=y=z

\u4ee3\u51652(xy+yz+zx)-a2=0\u5f97x=y=z=

\u6240\u4ee5\uff0c\u8868\u9762\u79ef\u4e3aa2\u800c\u4f53\u79ef\u6700\u5927\u7684\u957f\u65b9\u4f53\u7684\u4f53\u79ef\u4e3a













2\u3001\u89e3\uff1a\u636e\u9898\u610f





\u300a\u9ad8\u6570\u300b\u8bd5\u53774\uff08\u4e0b\uff09

\u4e00\uff0e\u9009\u62e9\u9898\uff1a

1\uff0e\u4e0b\u5217\u5e73\u9762\u4e2d\u8fc7\u70b9\uff081,1,1\uff09\u7684\u5e73\u9762\u662f\u3000\u3000\u3000\u3000\u3000\u3000\uff0e

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2\uff0e\u5728\u7a7a\u95f4\u76f4\u89d2\u5750\u6807\u7cfb\u4e2d\uff0c\u65b9\u7a0b \u8868\u793a\u3000\u3000\u3000\u3000\u3000\u3000\uff0e

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3\uff0e\u4e8c\u5143\u51fd\u6570 \u7684\u9a7b\u70b9\u662f\u3000\u3000\u3000\u3000\u3000\u3000\uff0e

\uff08A\uff09\uff080,0\uff09 \uff08B\uff09\uff080,1\uff09 \uff08C\uff09\uff081,0\uff09\u3000\uff08D\uff09\uff081,1\uff09

4\uff0e\u4e8c\u91cd\u79ef\u5206\u7684\u79ef\u5206\u533a\u57dfD\u662f \uff0c\u5219 \u3000\u3000\u3000\u3000\u3000\u3000\uff0e

\uff08A\uff09 \u3000\uff08B\uff09 \u3000\uff08C\uff09 \u3000\uff08D\uff09

5\uff0e\u4ea4\u6362\u79ef\u5206\u6b21\u5e8f\u540e \u3000\u3000\u3000\u3000\u3000\u3000\uff0e

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6\uff0en\u9636\u884c\u5217\u5f0f\u4e2d\u6240\u6709\u5143\u7d20\u90fd\u662f1\uff0c\u5176\u503c\u662f\u3000\u3000\u3000\u3000\u3000\uff0e

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7\uff0e\u5bf9\u4e8en\u5143\u7ebf\u6027\u65b9\u7a0b\u7ec4\uff0c\u5f53 \u65f6,\u5b83\u6709\u65e0\u7a77\u591a\u7ec4\u89e3,\u5219 \u3000\uff0e

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8\uff0e\u4e0b\u5217\u7ea7\u6570\u6536\u655b\u7684\u662f\u3000\u3000\u3000\u3000\u3000\u3000\uff0e

\uff08A\uff09 \u3000\uff08B\uff09 \u3000\uff08C\uff09 \u3000\uff08D\uff09

9\uff0e\u6b63\u9879\u7ea7\u6570 \u548c \u6ee1\u8db3\u5173\u7cfb\u5f0f \uff0c\u5219\u3000\u3000\u3000\u3000\u3000\u3000\uff0e

\uff08A\uff09\u82e5 \u6536\u655b\uff0c\u5219 \u6536\u655b\u3000\uff08B\uff09\u82e5 \u6536\u655b\uff0c\u5219 \u6536\u655b\u3000

\uff08C\uff09\u82e5 \u53d1\u6563\uff0c\u5219 \u53d1\u6563\u3000\uff08D\uff09\u82e5 \u6536\u655b\uff0c\u5219 \u53d1\u6563\u3000

10\uff0e\u5df2\u77e5\uff1a \uff0c\u5219 \u7684\u5e42\u7ea7\u6570\u5c55\u5f00\u5f0f\u4e3a\u3000\u3000\u3000\u3000\u3000\u3000\uff0e

\uff08A\uff09 \u3000\uff08B\uff09 \u3000\uff08C\uff09 \u3000\uff08D\uff09

\u4e8c\uff0e\u586b\u7a7a\u9898\uff1a

1\uff0e \u6570 \u7684\u5b9a\u4e49\u57df\u4e3a \u3000\u3000\uff0e

2\uff0e\u82e5 \uff0c\u5219 \u3000\u3000\u3000\u3000\u3000\u3000\uff0e

3\uff0e\u5df2\u77e5 \u662f \u7684\u9a7b\u70b9\uff0c\u82e5 \u5219

\u5f53\u3000\u3000\u3000\u3000\u3000\u3000\u65f6\uff0c \u4e00\u5b9a\u662f\u6781\u5c0f\u70b9\uff0e

4\uff0e\u77e9\u9635A\u4e3a\u4e09\u9636\u65b9\u9635\uff0c\u5219\u884c\u5217\u5f0f \u3000\u3000\u3000\u3000

5\uff0e\u7ea7\u6570 \u6536\u655b\u7684\u5fc5\u8981\u6761\u4ef6\u662f\u3000\u3000 \u3000\u3000\uff0e

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1\uff0e \u5df2\u77e5\uff1a \uff0c\u6c42\uff1a \uff0c \uff0e



2\uff0e \u8ba1\u7b97\u4e8c\u91cd\u79ef\u5206 \uff0c\u5176\u4e2d \uff0e



3\uff0e\u5df2\u77e5\uff1aXB\uff1dA\uff0c\u5176\u4e2dA\uff1d \uff0cB\uff1d \uff0c\u6c42\u672a\u77e5\u77e9\u9635X\uff0e



4\uff0e\u6c42\u5e42\u7ea7\u6570 \u7684\u6536\u655b\u533a\u95f4\uff0e





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1\uff0e\u6c42\u5e73\u9762x\uff0d2y\uff0bz\uff1d2\u548c2x\uff0by\uff0dz\uff1d4\u7684\u4ea4\u7ebf\u7684\u6807\u51c6\u65b9\u7a0b\uff0e





2\uff0e \u8bbe\u65b9\u7a0b\u7ec4 \uff0c\u8bd5\u95ee\uff1a \u5206\u522b\u4e3a\u4f55\u503c\u65f6\uff0c\u65b9\u7a0b\u7ec4\u65e0\u89e3\u3001\u6709\u552f\u4e00\u89e3\u3001\u6709\u65e0\u7a77\u591a\u7ec4\u89e3\uff0e

















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\u4e8c\uff0e1\uff0e \u30002\uff0e \u30003\uff0e \u30004\uff0e27\u30005\uff0e

\u56db\uff0e 1\uff0e\u89e3\uff1a

2\uff0e\u89e3\uff1a

3\uff0e\u89e3\uff1a.

4\uff0e\u89e3\uff1a \u5f53|x|\u30081\u65f6\uff0c\u7ea7\u6570\u6536\u655b\uff0c\u5f53x=1\u65f6\uff0c\u5f97 \u6536\u655b\uff0c

\u5f53 \u65f6\uff0c\u5f97 \u53d1\u6563\uff0c\u6240\u4ee5\u6536\u655b\u533a\u95f4\u4e3a.

5\uff0e\u89e3\uff1a.\u56e0\u4e3a ,\u6240\u4ee5 .

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2\uff0e\u89e3\uff1a

(1) \u5f53 \u65f6,,\u65e0\u89e3;

(2) \u5f53 \u65f6, ,\u6709\u552f\u4e00\u89e3:;

(3) \u5f53 \u65f6, ,\u6709\u65e0\u7a77\u591a\u7ec4\u89e3: (\u4e3a\u4efb\u610f\u5e38\u6570)





\u300a\u9ad8\u6570\u300b\u8bd5\u53775\uff08\u4e0b\uff09



\u4e00\u3001\u9009\u62e9\u9898\uff083\u5206/\u9898\uff09

1\u3001\u5df2\u77e5 \uff0c \uff0c\u5219 \uff08 \uff09

A 0 B C D

2\u3001\u7a7a\u95f4\u76f4\u89d2\u5750\u6807\u7cfb\u4e2d \u8868\u793a\uff08 \uff09

A \u5706 B \u5706\u9762 C \u5706\u67f1\u9762 D \u7403\u9762

3\u3001\u4e8c\u5143\u51fd\u6570 \u5728\uff080\uff0c0\uff09\u70b9\u5904\u7684\u6781\u9650\u662f\uff08 \uff09

A 1 B 0 C D \u4e0d\u5b58\u5728

4\u3001\u4ea4\u6362\u79ef\u5206\u6b21\u5e8f\u540e=\uff08 \uff09

A B

C D

5\u3001\u4e8c\u91cd\u79ef\u5206\u7684\u79ef\u5206\u533a\u57dfD\u662f \uff0c\u5219 \uff08 \uff09

A 2 B 1 C 0 D 4

6\u3001n\u9636\u884c\u5217\u5f0f\u4e2d\u6240\u6709\u5143\u7d20\u90fd\u662f1\uff0c\u5176\u503c\u4e3a\uff08 \uff09

A 0 B 1 C n D n!

7\u3001\u82e5\u6709\u77e9\u9635 \uff0c \uff0c\uff0c\u4e0b\u5217\u53ef\u8fd0\u7b97\u7684\u5f0f\u5b50\u662f\uff08 \uff09

A B C D

8\u3001n\u5143\u7ebf\u6027\u65b9\u7a0b\u7ec4\uff0c\u5f53 \u65f6\u6709\u65e0\u7a77\u591a\u7ec4\u89e3\uff0c\u5219\uff08 \uff09

A r=n B rn D \u65e0\u6cd5\u786e\u5b9a

9\u3001\u5728\u4e00\u79e9\u4e3ar\u7684\u77e9\u9635\u4e2d\uff0c\u4efbr\u9636\u5b50\u5f0f\uff08 \uff09

A \u5fc5\u7b49\u4e8e\u96f6 B \u5fc5\u4e0d\u7b49\u4e8e\u96f6

C \u53ef\u4ee5\u7b49\u4e8e\u96f6\uff0c\u4e5f\u53ef\u4ee5\u4e0d\u7b49\u4e8e\u96f6 D \u4e0d\u4f1a\u90fd\u4e0d\u7b49\u4e8e\u96f6

10\u3001\u6b63\u9879\u7ea7\u6570 \u548c \u6ee1\u8db3\u5173\u7cfb\u5f0f \uff0c\u5219\uff08 \uff09

A \u82e5 \u6536\u655b\uff0c\u5219 \u6536\u655b B \u82e5 \u6536\u655b\uff0c\u5219 \u6536\u655b

C \u82e5 \u53d1\u6563\uff0c\u5219 \u53d1\u6563 D \u82e5 \u6536\u655b\uff0c\u5219 \u53d1\u6563

\u4e8c\u3001\u586b\u7a7a\u9898\uff084\u5206/\u9898\uff09

1\u3001 \u7a7a\u95f4\u70b9p\uff08-1\uff0c2\uff0c-3\uff09\u5230 \u5e73\u9762\u7684\u8ddd\u79bb\u4e3a

2\u3001 \u51fd\u6570 \u5728\u70b9 \u5904\u53d6\u5f97\u6781\u5c0f\u503c\uff0c\u6781\u5c0f\u503c\u4e3a

3\u3001 \u4e3a\u4e09\u9636\u65b9\u9635\uff0c \uff0c\u5219

4\u3001 \u4e09\u9636\u884c\u5217\u5f0f=

5\u3001 \u7ea7\u6570 \u6536\u655b\u7684\u5fc5\u8981\u6761\u4ef6\u662f



\u4e09\u3001\u8ba1\u7b97\u9898\uff086\u5206/\u9898\uff09

1\u3001 \u5df2\u77e5\u4e8c\u5143\u51fd\u6570 \uff0c\u6c42\u504f\u5bfc\u6570 \uff0c





2\u3001 \u6c42\u4e24\u5e73\u9762\uff1a \u4e0e \u4ea4\u7ebf\u7684\u6807\u51c6\u5f0f\u65b9\u7a0b\u3002





3\u3001 \u8ba1\u7b97\u4e8c\u91cd\u79ef\u5206 \uff0c\u5176\u4e2d \u7531\u76f4\u7ebf \uff0c \u548c\u53cc\u66f2\u7ebf \u6240\u56f4\u6210\u7684\u533a\u57df\u3002







4\u3001 \u6c42\u65b9\u9635 \u7684\u9006\u77e9\u9635\u3002



5\u3001 \u6c42\u5e42\u7ea7\u6570 \u7684\u6536\u655b\u534a\u5f84\u548c\u6536\u655b\u533a\u95f4\u3002



\u56db\u3001\u5e94\u7528\u9898\uff0810\u5206/\u9898\uff09

1\u3001 \u5224\u65ad\u7ea7\u6570 \u7684\u6536\u655b\u6027\uff0c\u5982\u679c\u6536\u655b\uff0c\u8bf7\u6307\u51fa\u7edd\u5bf9\u6536\u655b\u8fd8\u662f\u6761\u4ef6\u6536\u655b\u3002



2\u3001 \u8bd5\u6839\u636e \u7684\u53d6\u503c\uff0c\u8ba8\u8bba\u65b9\u7a0b\u7ec4 \u662f\u5426\u6709\u89e3\uff0c\u6307\u51fa\u89e3\u7684\u60c5\u51b5\u3002





\u53c2\u8003\u7b54\u6848



\u4e00\u3001\u9009\u62e9\u9898\uff083\u5206/\u9898\uff09

DCBDA ACBCB

\u4e8c\u3001\u586b\u7a7a\u9898\uff084\u5206/\u9898\uff09

1\u30013 2\u3001\uff083\uff0c-1\uff09 -11 3\u3001-3 4\u30010 5\u3001

\u4e09\u3001\u8ba1\u7b97\u9898\uff086\u5206/\u9898\uff09

1\u3001 \uff0c

2\u3001

3\u3001

4\u3001

5\u3001\u6536\u655b\u534a\u5f84R=3\uff0c\u6536\u655b\u533a\u95f4\u4e3a\uff08-4\uff0c6\uff09

\u56db\u3001\u5e94\u7528\u9898\uff0810\u5206/\u9898\uff09

1\u3001 \u5f53 \u65f6\uff0c\u53d1\u6563\uff1b

\u65f6\u6761\u4ef6\u6536\u655b\uff1b

\u65f6\u7edd\u5bf9\u6536\u655b

2\u3001 \u5f53 \u4e14 \u65f6\uff0c \uff0c \uff0c\u65b9\u7a0b\u7ec4\u6709\u552f\u4e00\u89e3\uff1b

\u5f53 \u65f6\uff0c \uff0c\u65b9\u7a0b\u7ec4\u65e0\u89e3\uff1b

\u5f53 \u65f6\uff0c \uff0c\u65b9\u7a0b\u7ec4\u6709\u65e0\u7a77\u591a\u7ec4\u89e3\u3002

















\u4f60\u53ef\u4ee5\u5148\u770b\u770b\u6709\u6ca1\u6709\u548c\u81ea\u5df1\u6559\u6750\u914d\u5957\u7684\u4e60\u9898\u96c6\uff0c\u8fd9\u4e2a\u53ef\u4ee5\u95ee\u5b66\u957f\u3002\u5982\u679c\u60f3\u6311\u6218\u4e00\u4e0b\u7684\u8bdd\uff0c\u53ef\u4ee5\u505a\u5409\u7c73\u591a\u7ef4\u5947\u3002

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