某几何体的三视图如图所示,主视图和侧视图为全等的直角梯形,俯视图为直角三角形.则该几何体的表面积为(

\u4e00\u4e2a\u51e0\u4f55\u4f53\u7684\u4e09\u89c6\u56fe\u5982\u56fe\u6240\u793a,\u5176\u4e2d\u4e3b\u89c6\u56fe\u548c\u4fef\u89c6\u56fe\u90fd\u662f\u957f\u65b9\u5f62,\u5de6\u89c6\u56fe\u662f\u76f4\u89d2\u4e09\u89d2\u5f62,\u5219\u5b83\u7684\u8868\u9762\u79ef\u662f\uff08 \uff09

\u9996\u5148\u53ef\u4ee5\u5224\u5b9a\u4ed6\u662f\u4e00\u4e2a\u4e09\u68f1\u67f1\u3002\u5047\u8bbe\u8fb9\u957f=a\u3002\u8868\u9762\u79ef=a2+a2+2*1/2*a2+2/2a2=3a2
+2\u6839\u53f72

2007\u5e74\u4e03\u5e74\u7ea7\u6570\u5b66\u671f\u4e2d\u8bd5\u5377
\uff08\u672c\u5377\u6ee1\u5206100\u5206 \uff0c\u5b8c\u5377\u65f6\u95f490\u5206\u949f\uff09
\u59d3\u540d\uff1a \u6210\u7ee9\uff1a
\u4e00\u3001 \u586b\u7a7a\uff08\u672c\u5927\u9898\u5171\u670915\u9898\uff0c\u6bcf\u98982\u5206\uff0c\u6ee1\u520630\u5206\uff09
1\u3001\u5982\u56fe\uff1a\u5728\u6570\u8f74\u4e0a\u4e0eA\u70b9\u7684\u8ddd\u79bb\u7b49\u4e8e5\u7684\u6570\u4e3a \u3002
2\u3001\u7528\u56db\u820d\u4e94\u5165\u6cd5\u628a3.1415926\u7cbe\u786e\u5230\u5343\u5206\u4f4d\u662f \uff0c\u7528\u79d1\u5b66\u8bb0\u6570\u6cd5\u8868\u793a302400\uff0c\u5e94\u8bb0\u4e3a ,\u8fd1\u4f3c\u65703.0\u00d7 \u7cbe\u786e\u5230 \u4f4d\u3002
3\u3001\u5df2\u77e5\u5706\u7684\u5468\u957f\u4e3a50\uff0c\u7528\u542b\u03c0\u7684\u4ee3\u6570\u5f0f\u8868\u793a\u5706\u7684\u534a\u5f84\uff0c\u5e94\u662f \u3002
4\u3001\u94c5\u7b14\u6bcf\u652fm\u5143\uff0c\u5c0f\u660e\u752810\u5143\u94b1\u4e70\u4e86n\u652f\u94c5\u7b14\u540e\uff0c\u8fd8\u5269\u4e0b \u5143\u3002
5\u3001\u5f53a=\uff0d2\u65f6\uff0c\u4ee3\u6570\u5f0f \u7684\u503c\u7b49\u4e8e \u3002
6\u3001\u4ee3\u6570\u5f0f2x3y2+3x2y\uff0d1\u662f \u6b21 \u9879\u5f0f\u3002
7\u3001\u5982\u679c4amb2\u4e0e abn\u662f\u540c\u7c7b\u9879\uff0c\u90a3\u4e48m+n= \u3002
8\u3001\u628a\u591a\u9879\u5f0f3x3y\uff0d xy3+x2y2+y4\u6309\u5b57\u6bcdx\u7684\u5347\u5e42\u6392\u5217\u662f \u3002
9\u3001\u5982\u679c\u2223x-2\u2223=1\uff0c\u90a3\u4e48\u2223x-1\u2223= \u3002
10\u3001\u8ba1\u7b97\uff1a\uff08a\uff0d1\uff09\uff0d(3a2\uff0d2a+1) = \u3002
11\u3001\u7528\u8ba1\u7b97\u5668\u8ba1\u7b97\uff08\u4fdd\u75593\u4e2a\u6709\u6548\u6570\u5b57\uff09\uff1a = \u3002
12\u3001\u201c24\u70b9\u6e38\u620f\u201d\uff1a\u7528\u4e0b\u9762\u8fd9\u7ec4\u6570\u51d1\u621024\u70b9\uff08\u6bcf\u4e2a\u6570\u53ea\u80fd\u7528\u4e00\u6b21\uff09\u3002
2\uff0c6\uff0c7\uff0c8\uff0e\u7b97\u5f0f \u3002
13\u3001\u8ba1\u7b97\uff1a\uff08\uff0d2a\uff093 = \u3002
14\u3001\u8ba1\u7b97\uff1a\uff08x2+ x\uff0d1\uff09?\uff08\uff0d2x\uff09= \u3002
15\u3001\u89c2\u5bdf\u89c4\u5f8b\u5e76\u8ba1\u7b97\uff1a\uff082+1\uff09\uff0822+1\uff09\uff0824+1\uff09\uff0828+1\uff09= \u3002\uff08\u4e0d\u80fd\u7528\u8ba1\u7b97\u5668\uff0c\u7ed3\u679c\u4e2d\u4fdd\u7559\u5e42\u7684\u5f62\u5f0f\uff09
\u4e8c\u3001\u9009\u62e9\uff08\u672c\u5927\u9898\u5171\u67094\u9898\uff0c\u6bcf\u98982\u5206\uff0c\u6ee1\u52068\u5206\uff09
16\u3001\u4e0b\u5217\u8bf4\u6cd5\u6b63\u786e\u7684\u662f\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\uff08 \uff09
\uff08A\uff092\u4e0d\u662f\u4ee3\u6570\u5f0f \uff08B\uff09 \u662f\u5355\u9879\u5f0f
\uff08C\uff09 \u7684\u4e00\u6b21\u9879\u7cfb\u6570\u662f1 \uff08D\uff091\u662f\u5355\u9879\u5f0f
17\u3001\u4e0b\u5217\u5408\u5e76\u540c\u7c7b\u9879\u6b63\u786e\u7684\u662f\u2026\u2026\u2026\u2026\u2026\u2026\u2026\uff08 \uff09
\uff08A\uff092a+3a=5 \uff08B\uff092a\uff0d3a=\uff0da \uff08C\uff092a+3b=5ab \uff08D\uff093a\uff0d2b=ab
18\u3001\u4e0b\u9762\u4e00\u7ec4\u6309\u89c4\u5f8b\u6392\u5217\u7684\u6570\uff1a1,2\uff0c4,8\uff0c16\uff0c\u2026\u2026\uff0c\u7b2c2002\u4e2a\u6570\u5e94\u662f\uff08 \uff09
A\u3001 B\u3001 \uff0d1 C\u3001 D\u3001\u4ee5\u4e0a\u7b54\u6848\u4e0d\u5bf9
19\u3001\u5982\u679c\u77e5\u9053a\u4e0eb\u4e92\u4e3a\u76f8\u53cd\u6570\uff0c\u4e14x\u4e0ey\u4e92\u4e3a\u5012\u6570\uff0c\u90a3\u4e48\u4ee3\u6570\u5f0f
|a + b| - 2xy\u7684\u503c\u4e3a\uff08 \uff09
A. 0 B.-2 C.-1 D.\u65e0\u6cd5\u786e\u5b9a
\u4e09\u3001\u89e3\u7b54\u9898\uff1a\uff08\u672c\u5927\u9898\u5171\u67094\u9898\uff0c\u6bcf\u98986\u5206\uff0c\u6ee1\u520624\u5206\uff09
20\u3001\u8ba1\u7b97\uff1ax+ +5
21\u3001\u6c42\u503c\uff1a\uff08x+2\uff09\uff08x\uff0d2\uff09\uff08x2+4\uff09\uff0d\uff08x2\uff0d2\uff092 \uff0c\u5176\u4e2dx=\uff0d
22\u3001\u5df2\u77e5a\u662f\u6700\u5c0f\u7684\u6b63\u6574\u6570\uff0c\u8bd5\u6c42\u4e0b\u5217\u4ee3\u6570\u5f0f\u7684\u503c\uff1a(\u6bcf\u5c0f\u98984\u5206,\u517112\u5206)
\uff081\uff09
\uff082\uff09 ;
(3)\u7531\uff081\uff09\u3001\uff082\uff09\u4f60\u6709\u4ec0\u4e48\u53d1\u73b0\u6216\u60f3\u6cd5\uff1f
23\u3001\u5df2\u77e5\uff1aA=2x2\uff0dx+1\uff0cA\uff0d2B = x\uff0d1\uff0c\u6c42B
\u56db\u3001\u5e94\u7528\u9898\uff08\u672c\u5927\u9898\u5171\u67095\u9898\uff0c24\u300125\u6bcf\u98987\u5206\uff0c26\u300127\u300128\u6bcf\u98988\u5206\uff0c\u6ee1\u520638\u5206\uff09
24\u3001\u5df2\u77e5\uff08\u5982\u56fe\uff09\uff1a\u6b63\u65b9\u5f62ABCD\u7684\u8fb9\u957f\u4e3ab\uff0c\u6b63\u65b9\u5f62DEFG\u7684\u8fb9\u957f\u4e3aa
\u6c42\uff1a\uff081\uff09\u68af\u5f62ADGF\u7684\u9762\u79ef
\uff082\uff09\u4e09\u89d2\u5f62AEF\u7684\u9762\u79ef
\uff083\uff09\u4e09\u89d2\u5f62AFC\u7684\u9762\u79ef
25\u3001\u5df2\u77e5\uff08\u5982\u56fe\uff09\uff1a\u7528\u56db\u5757\u5e95\u4e3ab\u3001\u9ad8\u4e3aa\u3001\u659c\u8fb9\u4e3ac\u7684\u76f4\u89d2\u4e09\u89d2\u5f62
\u62fc\u6210\u4e00\u4e2a\u6b63\u65b9\u5f62\uff0c\u6c42\u56fe\u5f62\u4e2d\u592e\u7684\u5c0f\u6b63\u65b9\u5f62\u7684\u9762\u79ef\uff0c\u4f60\u4e0d\u96be\u627e\u5230
\u89e3\u6cd5\uff081\uff09\u5c0f\u6b63\u65b9\u5f62\u7684\u9762\u79ef=
\u89e3\u6cd5\uff082\uff09\u5c0f\u6b63\u65b9\u5f62\u7684\u9762\u79ef=
\u7531\u89e3\u6cd5\uff081\uff09\u3001\uff082\uff09\uff0c\u53ef\u4ee5\u5f97\u5230a\u3001b\u3001c\u7684\u5173\u7cfb\u4e3a\uff1a
26\u3001\u5df2\u77e5:\u6211\u5e02\u51fa\u79df\u8f66\u6536\u8d39\u6807\u51c6\u5982\u4e0b\uff1a\u4e58\u8f66\u91cc\u7a0b\u4e0d\u8d85\u8fc7\u4e94\u516c\u91cc\u7684\u4e00\u5f8b\u6536\u8d395\u5143\uff1b\u4e58\u8f66\u91cc\u7a0b\u8d85\u8fc75\u516c\u91cc\u7684\uff0c\u9664\u4e86\u6536\u8d395\u5143\u5916\u8d85\u8fc7\u90e8\u5206\u6309\u6bcf\u516c\u91cc1.2\u5143\u8ba1\u8d39.
(1)\u5982\u679c\u6709\u4eba\u4e58\u8ba1\u7a0b\u8f66\u884c\u9a76\u4e86x\u516c\u91cc\uff08x5\uff09,\u90a3\u4e48\u4ed6\u5e94\u4ed8\u591a\u5c11\u8f66\u8d39\uff1f\uff08\u5217\u4ee3\u6570\u5f0f\uff09\uff084\u5206\uff09
(2)\u67d0\u6e38\u5ba2\u4e58\u51fa\u79df\u8f66\u4ece\u5174\u5316\u5230\u6c99\u6c9f\uff0c\u4ed8\u4e86\u8f66\u8d3941\u5143\uff0c\u8bd5\u4f30\u7b97\u4ece\u5174\u5316\u5230\u6c99\u6c9f\u5927\u7ea6\u6709\u591a\u5c11\u516c\u91cc\uff1f\uff084\u5206\uff09
27\u3001\u7b2c\u4e00\u5c0f\u961f\u4e0e\u7b2c\u4e8c\u5c0f\u961f\u961f\u5458\u641e\u8054\u6b22\u6d3b\u52a8\uff0c\u7b2c\u4e00\u5c0f\u961f\u6709m\u4eba\uff0c\u7b2c\u4e8c\u5c0f\u961f\u6bd4\u7b2c\u4e00\u5c0f\u961f\u591a2\u4eba\u3002\u5982\u679c\u4e24\u4e2a\u5c0f\u961f\u4e2d\u7684\u6bcf\u4e2a\u961f\u5458\u5206\u522b\u5411\u5bf9\u65b9\u5c0f\u961f\u7684\u6bcf\u4e2a\u4eba\u8d60\u9001\u4e00\u4ef6\u793c\u7269\u3002
\u6c42\uff1a\uff081\uff09\u6240\u6709\u961f\u5458\u8d60\u9001\u7684\u793c\u7269\u603b\u6570\u3002\uff08\u7528m\u7684\u4ee3\u6570\u5f0f\u8868\u793a\uff09
\uff082\uff09\u5f53m=10\u65f6\uff0c\u8d60\u9001\u793c\u7269\u7684\u603b\u6570\u4e3a\u591a\u5c11\u4ef6\uff1f
28\u3001\u67d0\u5546\u54c11998\u5e74\u6bd41997\u5e74\u6da8\u4ef75%\uff0c1999\u5e74\u53c8\u6bd41998\u5e74\u6da8\u4ef710%\uff0c2000\u5e74\u6bd41999\u5e74\u964d\u4ef712%\u3002\u90a3\u4e482000\u5e74\u4e0e1997\u5e74\u76f8\u6bd4\u662f\u6da8\u4ef7\u8fd8\u662f\u964d\u4ef7\uff1f\u6da8\u4ef7\u6216\u964d\u4ef7\u7684\u767e\u5206\u6bd4\u662f\u591a\u5c11\uff1f
\u6570\u5b66\u8bd5\u5377\u7b54\u6848
\u4e00\u30011\u3001 2\u300110\uff0dmn 3\u3001\uff0d5 4\u3001\uff0d1\uff0c2 5\u3001\u4e94\uff0c\u4e09 6\u30013
7\u30013x3y+x2y2\uff0d xy3 +y4 8\u30010\uff0c2 9\u3001\uff0d3a2+3a\uff0d2 10\u3001\uff0da6
11\u3001\uff0dx8 12\u3001\uff0d8a3 13\u3001\uff0d2x3\uff0dx2+2x 14\u30014b2\uff0da2 15\u3001216\uff0d1
\u4e8c\u300116\u3001D 17\u3001B 18\u3001B 19\u3001D
\u4e09\u300120\u3001\u539f\u5f0f= x+ +5 (1\u2019)
= x+ +5 (1\u2019)
= x+ +5 (1\u2019)
= x+4x\uff0d3y+5 (1\u2019)
= 5x\uff0d3y+5 (2\u2019)
21\u3001\u539f\u5f0f=\uff08x2\uff0d4\uff09\uff08x2+4\uff09\uff0d\uff08x4\uff0d4x2+4\uff09 (1\u2019)
= x4\uff0d16\uff0dx4+4x2\uff0d4 (1\u2019)
= 4x2\uff0d20 (1\u2019)
\u5f53x = \u65f6\uff0c\u539f\u5f0f\u7684\u503c= 4\u00d7\uff08 \uff092\uff0d20 (1\u2019)
= 4\u00d7 \uff0d20 (1\u2019)
=\uff0d19 (1\u2019)
22\u3001\u89e3\uff1a\u539f\u5f0f=x2\uff0d2x+1+x2\uff0d9+x2\uff0d4x+3 (1\u2019)
=3x2\uff0d6x\uff0d5 (1\u2019)
=3\uff08x2\uff0d2x\uff09\uff0d5 (2\u2019) \uff08\u6216\u8005\u7531x2\uff0d2x=2\u5f973x2\uff0d6x=6\u4ee3\u5165\u4e5f\u53ef\uff09
=3\u00d72\uff0d5 (1\u2019)
=1 (1\u2019)
23\u3001\u89e3\uff1a A\uff0d2B = x\uff0d1
2B = A\uff0d\uff08x\uff0d1\uff09 (1\u2019)
2B = 2x2\uff0dx+1\uff0d\uff08x\uff0d1\uff09 (1\u2019)
2B = 2x2\uff0dx+1\uff0dx+1 (1\u2019)
2B = 2x2\uff0d2x+2 (1\u2019)
B = x2\uff0dx+1 (2\u2019)
24\u3001\u89e3\uff1a\uff081\uff09 (2\u2019)
\uff082\uff09 (2\u2019)
\uff083\uff09 + \uff0d \uff0d = (3\u2019)
25\u3001\u89e3\uff1a\uff081\uff09C2 = C 2\uff0d2ab \uff083\u2019\uff09
\uff082\uff09\uff08b\uff0da\uff092\u6216\u8005b 2\uff0d2ab+a 2 \uff083\u2019\uff09
\uff083\uff09C 2= a 2+b 2 \uff081\u2019\uff09
26\u3001\u89e3\uff1a\uff0825\uff092 = a2 \uff081\u2019\uff09
a = 32 \uff081\u2019\uff09
210 = 22b \uff081\u2019\uff09
b = 5 \uff081\u2019\uff09
\u539f\u5f0f=( a)2\uff0d ( b) 2\uff0d( a2+ ab+ b2) \uff081\u2019\uff09
= a2\uff0d b2\uff0d a2\uff0d ab\uff0d b2 \uff081\u2019\uff09
=\uff0d ab\uff0d b2 \uff081\u2019\uff09
\u5f53a = 32\uff0cb = 5\u65f6\uff0c\u539f\u5f0f\u7684\u503c= \uff0d \u00d732\u00d75\uff0d \u00d752 = \uff0d18 \uff081\u2019\uff09
\u82e5\u76f4\u63a5\u4ee3\u5165\uff1a\uff088+1\uff09\uff088\uff0d1\uff09\uff0d\uff088+1\uff092 = \uff0d18\u4e5f\u53ef\u4ee5\u3002
27\u3001\u89e3\uff081\uff09\uff1a\u7b2c\u4e00\u5c0f\u961f\u9001\u7ed9\u7b2c\u4e8c\u5c0f\u961f\u5171\uff08m+2\uff09?m\u4ef6 (2\u2019)
\u7b2c\u4e8c\u5c0f\u961f\u9001\u7ed9\u7b2c\u4e00\u5c0f\u961f\u5171m?\uff08m+2\uff09\u4ef6 (2\u2019)
\u4e24\u961f\u5171\u8d60\u90012m?\uff08m+2\uff09\u4ef6 (2\u2019)
\uff082\uff09\uff1a\u5f53m = 2\u00d7102+4\u00d710=240 \u4ef6 (2\u2019)
28\u3001\u8bbe\uff1a1997\u5e74\u5546\u54c1\u4ef7\u683c\u4e3ax\u5143 \uff081\u2019\uff09
1998\u5e74\u5546\u54c1\u4ef7\u683c\u4e3a\uff081+5%\uff09x\u5143 \uff081\u2019\uff09
1999\u5e74\u5546\u54c1\u4ef7\u683c\u4e3a\uff081+5%\uff09\uff081+10%\uff09x\u5143 \uff081\u2019\uff09
2000\u5e74\u5546\u54c1\u4ef7\u683c\u4e3a\uff081+5%\uff09\uff081+10%\uff09\uff081\uff0d12%\uff09x\u5143=1.0164x\u5143 \uff082\u2019\uff09
=0.0164=1.64% \uff082\u2019\uff09

B

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