资源与评价数学八下的答案 数学《资源与评价》八下答案

\u6570\u5b66\u300a\u8d44\u6e90\u4e0e\u8bc4\u4ef7\u300b\u516b\u4e0b\u7b54\u6848

1\uff0e1 \u4e0d\u7b49\u5173\u7cfb
1\uff0eB\uff1b 2\uff0eA\uff1b 3\uff0eD\uff1b 4\uff0eC\uff1b 5\uff0eC \uff1b6\uff0eD\uff1b7\uff0e\uff081\uff09\uff1e\uff0c\uff082\uff09\uff1e\uff1b8\uff0e3y\uff0b4x\uff1c0\uff1b9\uff0ex<ll\uff0e7\uff0cx\u226511\uff0e7\uff1b10\uff0ea\uff1c1< \uff1b11\uff0e8\uff1b12\uff0e a2\uff0b b2\uff1eab (a\u2260b) \uff0e
13\uff0e\uff081\uff092a<a+3\uff0c\uff082\uff09 \uff0c\uff083\uff093x\uff0bl\uff1c 2x\uff0d5\uff0e
14\uff0e\uff081\uff09\u8bbe\u8fd9\u4e2a\u6570\u4e3ax\uff0c\u5219x2\u22650\uff1b\uff082\uff09\u8bbe\u67d0\u5929\u7684\u6c14\u6e29\u4e3ax\u2103\uff0c \u5219\u226425\uff0e
15\uff0e2a<a\uff0bb\uff1c3b\uff0e
16\uff0ea\uff1eb\uff0e
17\uff0e\u8bbe\u53c2\u52a0\u6625\u6e38\u7684\u540c\u5b66x\u4eba\uff0c\u52198x<250\uff0c9x\uff1e250\uff08\u62168x< 250\uff1c9x\uff09\uff0e
18\uff0e50\uff0b\uff0820\uff0d3\uff09x\uff1e270\uff0e
19\uff0e\u8bbe\u8be5\u540c\u5b66\u81f3\u5c11\u5e94\u7b54\u5bf9x\u9053\u9898\uff0c\u4f9d\u9898\u610f\u67096x\uff0d(16\uff0dx)\u00d72 60\uff0e
20\uff0e\uff081\uff09\uff1e\uff082\uff09\uff1d\uff083\uff09\uff1e\uff084\uff09\uff1e\uff085\uff09\uff1e\uff1b \u22652ab\uff08\u5f53a\uff1db\u65f6\u53d6\u7b49\u53f7\uff09\uff0e
\u805a\u6c99\u6210\u5854\uff1a\u7532\u540c\u5b66\u8bf4\u7684\u610f\u601d\u662f\uff1a\u5982\u679c\u6bcf5\u4eba\u4e00\u7ec4\u73a9\u4e00\u4e2a\u7bee\u7403\uff0c\u90a3\u4e48\u73a9\u7403\u7684\u4eba\u6570\u5c11\u4e8e50\u4eba\uff0c\u6709\u4e9b\u540c\u5b66\u5c31\u6ca1\u6709\u7403\u73a9\uff0e
\u4e59\u540c\u5b66\u8bf4\u7684\u610f\u601d\u662f\uff1a\u5982\u679c\u6bcf6\u4eba\u4e00\u7ec4\u73a9\u4e00\u4e2a\u7bee\u7403\uff0c\u90a3\u4e48\u5c31\u4f1a\u6709\u4e00\u4e2a\u7ec4\u73a9\u7bee\u7403\u7684\u4eba\u6570\u4e0d\u8db36\u4eba\uff0e
\u4e19\u540c\u5b66\u8bf4\u7684\u610f\u601d\u662f\uff1a\u5982\u679c\u6bcf6\u4eba\u4e00\u7ec4\u73a9\u4e00\u4e2a\u7bee\u7403\uff0c\u9664\u4e86\u4e00\u4e2a\u7403\u4ee5\u5916\uff0c\u5269\u4e0b\u7684\u6bcf6\u4eba\u73a9\u4e00\u4e2a\u7403\uff0c\u8fd8\u6709\u51e0\u4e2a\uff08\u4e0d\u8db36\u4eba\uff09\u73a9\u53e6\u5916\u4e00\u4e2a\u7bee\u7403\uff0e
1\uff0e2 \u4e0d\u7b49\u5f0f\u7684\u57fa\u672c\u6027\u8d28
1\uff0eC\uff1b 2\uff0eD\uff1b 3\uff0eB\uff1b 4\uff0eA\uff1b 5\uff0eC\uff1b 6\uff0eA\uff1b 7\uff0eC\uff1b 8\uff0eD\uff1b 9\uff0e\uff081\uff09\uff1c\uff082\uff09\uff1e\uff083\uff09\uff1e\uff084\uff09\uff1e\uff085\uff09\uff1e\uff086\uff09\uff1c\uff1b10\uff0e\uff081\uff09\uff1c\uff082\uff09\uff1e\uff083\uff09\uff1e\uff084\uff09\uff1c\uff1b11\uff0ea\uff1c0\uff1b 12\uff0e\uff084\uff09\uff1b
13\uff0e0\uff0c1\uff0c2\uff0c3\uff0c4\uff0c5\uff1b 14\uff0e\uff1c \uff1b 15\uff0e\uff1c2 \uff1c0\uff1b 16\uff0e\uff1e \uff0e
17\uff0e\uff081\uff09x\uff1e5\uff1b\uff082\uff09 \uff1b\uff083\uff09\u5f97x\uff1c\uff0d3\uff0e\uff084\uff09x\uff1c\uff0d8\uff0e
18\uff0e\u89e3\uff1a\u6839\u636e\u4e0d\u7b49\u5f0f\u57fa\u672c\u6027\u8d283\uff0c\u4e24\u8fb9\u90fd\u4e58\u4ee5\uff0d12\uff0c\u5f973a\uff1e4a\uff0e
\u6839\u636e\u4e0d\u7b49\u5f0f\u57fa\u672c\u6027\u8d281\uff0c\u4e24\u8fb9\u90fd\u51cf\u53bb3a\uff0c\u5f970\uff1ea \uff0c\u5373a<0 \uff0c\u5373a\u4e3a\u8d1f\u6570\uff0e
19\uff0e\uff081\uff09a\uff1e0\uff1b\uff082\uff09a\uff1el\u6216a\uff1c0\uff1b\uff083\uff09a<0\uff0e
\u805a\u6c99\u6210\u5854
\u89e3\uff1a\u2235 = \u00d7 = \u00d7\uff0810\uff0b \uff09=12\uff0e5\uff0b \uff1c13
= = \uff0810\uff0b \uff09=13\uff0e33\uff0b \uff1e13
\u2234 \uff1e \uff1e0 \u2234A\uff1cB
\u70b9\u62e8\uff1a\u5229\u7528\u5012\u6570\u6bd4\u8f83\u5927\u5c0f\u662f\u4e00\u79cd\u91cd\u8981\u65b9\u6cd5\uff0e
1\uff0e3 \u4e0d\u7b49\u5f0f\u7684\u89e3\u96c6
1\uff0eA\uff1b2\uff0eB\uff1b3\uff0eC\uff1b4\uff0eD\uff1b5\uff0eB\uff1b6\uff0eA\uff1b7\uff0eB\uff1b8\uff0eC\uff1b9\uff0e\u7b54\u6848\u4e0d\u552f\u4e00\uff0c\u5982x\uff0d1\u22640\uff0c2x\u22642\u7b49\uff0e 10\uff0e\uff1d \uff0c\u2264 \uff0e11\uff0ex\uff1d2\uff0e 12\uff0ex\uff1d1\uff0c2\uff0c3 13\uff0e\uff0d6\uff0e 14\uff0e\uff081\uff09x\uff1e3\uff1b\uff082\uff09x\uff1c6\uff1b\uff083\uff09x\uff1e5\uff1b\uff084\uff09x\uff1e10\uff0e 15\uff0ex\uff1d1\uff0c2 16\uff0en\uff1e75% 40%\u2264n\u226449% n\uff1c20\uff05 \u6e29\u9971\uff0e
17\uff0e\u56fe\u7565\uff0e18\uff0e\u7b54\u6848\u4e0d\u60df\u4e00\uff1a\uff081\uff09x\uff1c4\uff1b \uff082\uff09 \uff0d3<x\u22641\uff0e
19\uff0e\u4e0d\u5c11\u4e8e1.5\u514b\uff0e
20\uff0ex\u53ef\u53d6\u4e00\u5207\u5b9e\u6570\uff0e
21\uff0e\u975e\u8d1f\u6574\u6570\u4e3a0\uff0c1\uff0c2\uff0c3\uff0e
22\uff0e x\uff1e \uff0e
23\uff0e k\u5927\u4e8e36\u65f6b\u4e3a\u8d1f\u6570\uff0e
24\uff0e a=\uff0d3
\u805a\u6c99\u6210\u5854
\u89e3\uff1a\u8bbe\u767d\u7403\u6709x\u4e2a\uff0c\u7ea2\u7403\u6709y\u4e2a\uff0c\u7531\u9898\u610f\uff0c\u5f97
\u7531\u7b2c\u4e00\u4e2a\u4e0d\u7b49\u5f0f\u5f97\uff1a3x\uff1c3y\uff1c6x\uff0c\u7531\u7b2c\u4e8c\u4e2a\u4e0d\u7b49\u5f0f\u5f97\uff0c3y=60\uff0d2x\uff0c\u5219\u67093x\uff1c60\uff0d2x\uff1c6x
\u22347.5\uff1cx\uff1c12\uff0c\u2234x\u53ef\u53d68\uff0c9\uff0c10\uff0c11\uff0e
\u53c8\u22352x=60\uff0d3y=3\uff0820\uff0dy\uff09 \u22342x\u5e94\u662f3\u7684\u500d\u6570
\u2234x\u53ea\u80fd\u53d69\uff0cy = = 14
\u7b54\uff1a\u767d\u7403\u67099\u4e2a\uff0c\u7ea2\u7403\u670914\u4e2a\uff0e
1\uff0e4\u4e00\u5143\u4e00\u6b21\u4e0d\u7b49\u5f0f\uff081\uff09
1\uff0eB\uff1b2\uff0eC\uff1b3\uff0eD\uff1b4\uff0eB\uff1b5\uff0eB\uff1b6\uff0eD\uff1b7\uff0eA\uff1b8\uff0eA\uff1b9\uff0ex\uff1d0\uff0c\uff0d1\uff0c\uff0d2\uff0c\uff0d3\uff0c\uff0d4 \uff1b10\uff0ex\uff1c\uff0d3\uff1b11\uff0eR\uff1e3\uff1b12\uff0e\uff0d6\uff1b13\uff0e2\uff1b14\uff0e2\u2264a\uff1c3\uff1b 15\uff0ex\u2265 \uff0e
16\uff0e\u7b2c\u2463\u6b65\u9519\u8bef\uff0c\u5e94\u8be5\u6539\u6210\u65e0\u8bbax\u53d6\u4f55\u503c\uff0c\u8be5\u4e0d\u7b49\u5f0f\u603b\u662f\u6210\u7acb\u7684\uff0c\u6240\u4ee5x\u53d6\u4e00\u5207\u6570\uff0e
17\uff0e\uff081\uff09\u5f97x\u22651\uff1b\uff082\uff09x\uff1e5\uff1b\uff083\uff09x\u22641\uff1b\uff084\uff09x\uff1c 3\uff1b
18\uff0e\uff081\uff09\u89e3\u4e0d\u7b49\u5f0f \uff0c\u5f97
\u6240\u4ee5\u5f53 \u65f6\uff0c \u7684\u503c\u662f\u975e\u8d1f\u6570\uff0e
\uff082\uff09\u89e3\u4e0d\u7b49\u5f0f \uff0c\u5f97
\u6240\u4ee5\u5f53 \u65f6\uff0c\u4ee3\u6570\u5f0f \u7684\u503c\u4e0d\u5927\u4e8e1
19\uff0ep\uff1e\uff0d6\uff0e 20\uff0e\uff0d11\uff0e
\u805a\u6c99\u6210\u5854
\u89e3\uff1a\u5047\u8bbe\u5b58\u5728\u7b26\u5408\u6761\u4ef6\u7684\u6574\u6570m\uff0e
\u7531 \u89e3\u5f97
\u7531 \u6574\u7406\u5f97 \uff0c
\u5f53 \u65f6\uff0c \uff0e
\u6839\u636e\u9898\u610f\uff0c\u5f97 \u89e3\u5f97 m=7
\u628am=7\u4ee3\u5165\u4e24\u5df2\u77e5\u4e0d\u7b49\u5f0f\uff0c\u90fd\u89e3\u5f97\u89e3\u96c6\u4e3a \uff0c\u56e0\u6b64\u5b58\u5728\u6574\u6570m\uff0c\u4f7f\u5173\u4e8ex\u7684\u4e0d\u7b49\u5f0f\u4e0e \u662f\u540c\u89e3\u4e0d\u7b49\u5f0f\uff0c\u4e14\u89e3\u96c6\u4e3a \uff0e
1\uff0e4\u4e00\u5143\u4e00\u6b21\u4e0d\u7b49\u5f0f\uff082\uff09
1\uff0eB\uff1b 2\uff0eB\uff1b 3\uff0eC\uff1b 4\uff0eC\uff1b 5\uff0eD\uff1b 6\uff0e12\uff1b 7\uff0e13\uff1b 8\uff0e152\uff0e
9\uff0e\u4ee5\u540e6\u5929\u5185\u5e73\u5747\u6bcf\u5929\u81f3\u5c11\u8981\u6316\u571f80\u7acb\u65b9\u7c73\uff0e
10\uff0e\u4ee5\u540e\u6bcf\u4e2a\u6708\u81f3\u5c11\u8981\u751f\u4ea7100\u53f0\uff0e
11\uff0e\u4e0d\u5c11\u4e8e16\u5343\u7c73\uff0e
12\uff0e\u6bcf\u5929\u81f3\u5c11\u5b89\u63923\u4e2a\u5c0f\u7ec4\uff0e
13\uff0e\u62db\u8058A\u5de5\u79cd\u5de5\u4eba\u4e3a50\u4eba\u65f6\uff0c\u53ef\u4f7f\u6bcf\u6708\u6240\u4ed8\u7684\u5de5\u8d44\u6700\u5c11\uff0c\u6b64\u65f6\u6bcf\u6708\u5de5\u8d44\u4e3a130000\u5143\uff0e
14\uff0e\u7532\u5382\u6bcf\u5929\u5904\u7406\u5783\u573e\u81f3\u5c11\u9700\u89816\u5c0f\u65f6\uff0e
15\uff0e\uff081\uff09y=9.2\uff0d0.9x\uff1b;(2)\u997c\u5e72\u548c\u725b\u5976\u7684\u6807\u4ef7\u5206\u522b\u4e3a2\u5143\u30018\u5143\uff0e
\u805a\u6c99\u6210\u5854
\u89e3\uff1a\uff081\uff09\u7531\u9898\u610f\uff0c\u53ef\u5c06\u4e00\u3001\u4e8c\u3001\u4e09\u7b49\u5956\u7684\u5956\u54c1\u5b9a\u4e3a\u76f8\u518c\u3001\u7b14\u8bb0\u672c\u3001\u94a2\u7b14\u5373\u53ef\uff0e\u6b64\u65f6\u6240\u9700\u8d39\u7528\u4e3a5\u00d76+10\u00d75+25\u00d74\uff1d180\uff08\u5143\uff09\uff1b
\uff082\uff09\u8bbe\u4e09\u7b49\u5956\u7684\u5956\u54c1\u5355\u4ef7\u4e3ax\u5143\uff0c\u5219\u4e8c\u7b49\u5956\u5956\u54c1\u5355\u4ef7\u5e94\u4e3a4x\u5143\uff0c\u4e00\u7b49\u5956\u5956\u54c1\u5355\u4ef7\u4e3a20x\u5143\uff0c\u7531\u9898\u610f\u5e94\u75315\u00d720x\uff0b10\u00d74x\uff0b25\u00d7x\u22641000\uff0c\u89e3\u5f97x\u22646.06\uff08\u5143\uff09\uff0e\u6545x\u53ef\u53d66\u5143\u30015\u5143\u30014\u5143\uff0e\u65454x\u4f9d\u6b21\u5e94\u4e3a24\u5143\uff0c20\u5143\uff0c16\u5143\uff0c20x\u4f9d\u6b21\u5e94\u4e3a120\u5143\u3001100\u5143\u300180\u5143\uff0e\u518d\u770b\u8868\u683c\u4e2d\u6240\u63d0\u4f9b\u5404\u7c7b\u5956\u54c1\u5355\u4ef7\u53ef\u77e5\uff0c120\u5143\u300124\u5143\u30016\u5143\u4ee5\u53ca80\u5143\u300116\u5143\u30014\u5143\u8fd9\u4e24\u79cd\u60c5\u51b5\u9002\u5408\u9898\u610f\uff0c\u6545\u6709\u4e24\u79cd\u8d2d\u4e70\u65b9\u6848\uff0c\u65b9\u6848\u4e00\uff1a\u5956\u54c1\u5355\u4ef7\u4f9d\u6b21\u4e3a120\u5143\u300124\u5143\u30016\u5143\uff0c\u6240\u9700\u8d39\u7528\u4e3a990\u5143\uff1b\u65b9\u6848\u4e8c\uff1a\u5956\u54c1\u5355\u4ef7\u4f9d\u6b21\u4e3a80\u5143\u300116\u5143\u30014\u5143\uff0c\u6240\u9700\u8d39\u7528\u4e3a660\u5143\uff0e\u4ece\u800c\u53ef\u77e5\u82b1\u8d39\u6700\u591a\u7684\u4e00\u79cd\u65b9\u6848\u9700990\u5143\uff0e
1\uff0e5\u4e00\u5143\u4e00\u6b21\u4e0d\u7b49\u5f0f\u4e0e\u4e00\u6b21\u51fd\u6570\uff081\uff09
1\uff0eA\uff1b2\uff0eD\uff1b3\uff0eC\uff1b4\uff0eC\uff1b5\uff0eB\uff1b6\uff0eA\uff1b7\uff0eD\uff1b8\uff0eB\uff1b9\uff0em\uff1c4\u4e14m\u22601\uff1b10\uff0e20\uff1b11\uff0ex\uff1e\uff0d \uff0cx\uff1c\uff0d \uff1b12\uff0ex\uff1c\uff0d5\uff1b13\uff0ex\uff1e\uff0d2\uff1b14\uff0ex\uff1c3\uff1b15\uff0e\uff08\uff0d3\uff0c0\uff09\uff1b16\uff0e\uff082\uff0c3\uff09\uff0e
17\uff0e(1) \uff1b\uff082\uff09x\u22640\uff0e
18\uff0e \uff081\uff09P\uff081\uff0c0\uff09\uff1b\uff082\uff09\u5f53x\uff1c1\u65f6y1\uff1ey2\uff0c\u5f53x\uff1e1\u65f6y1\uff1cy2\uff0e
\u805a\u6c99\u6210\u5854
\u5728\u76f4\u89d2\u5750\u6807\u7cfb\u753b\u51fa\u76f4\u7ebfx\uff1d3\uff0cx\uff0by\uff1d0\uff0cx\uff0dy\uff0b5\uff1d0\uff0c
\u56e0\u539f\u70b9(0\uff0c0)\u4e0d\u5728\u76f4\u7ebfx\uff0dy\uff0b5\uff1d0\u4e0a\uff0c
\u6545\u5c06\u539f\u70b9(0\uff0c0)\u4ee3\u5165x\uff0dy\uff0b5\u53ef\u77e5\uff0c\u539f\u70b9\u6240\u5728\u5e73\u9762\u533a\u57df\u8868\u793ax\uff0dy+5\u22650\u90e8\u5206\uff0c
\u56e0\u539f\u70b9\u5728\u76f4\u7ebfx+y=0\u4e0a\uff0c
\u6545\u53d6\u70b9(0\uff0c1)\u4ee3\u5165x+y\u5224\u5b9a\u53ef\u77e5\u70b9(0\uff0c1)\u6240\u5728\u5e73\u9762\u533a\u57df\u8868\u793ax+y\u22650\u7684\u90e8\u5206\uff0c\u89c1\u56fe\u9634\u5f71\u90e8\u5206\uff0e
1\uff0e5 \u4e00\u5143\u4e00\u6b21\u4e0d\u7b49\u5f0f\u4e0e\u4e00\u6b21\u51fd\u6570\uff082\uff09
1\uff0eB\uff1b2\uff0eB\uff1b3\uff0eA\uff1b4\uff0e13\uff1b
5\uff0e(1)y1=600+500x y2=2000+200x\uff1b
(2)x\uff1e4 \uff0c\u5230\u7b2c5\u4e2a\u6708\u7532\u7684\u5b58\u6b3e\u989d\u8d85\u8fc7\u4e59\u7684\u5b58\u6b3e\u989d\uff0e
6\uff0e\u8bbe\u5546\u573a\u6295\u5165\u8d44\u91d1x\u5143\uff0c
\u5982\u679c\u672c\u6708\u521d\u51fa\u552e\uff0c\u5230\u4e0b\u6708\u521d\u53ef\u83b7\u5229y1\u5143\uff0c
\u5219y1\uff1d10%x\uff0b(1\uff0b10%)x\u00b710%\uff1d0.1x\uff0b0.11x\uff1d0.21x\uff1b
\u5982\u679c\u4e0b\u6708\u521d\u51fa\u552e\uff0c\u53ef\u83b7\u5229y2\u5143\uff0c\u5219y2\uff1d25%x\uff0d8000\uff1d0.25x\uff0d8000
\u5f53y1\uff1dy2\u53730.21x\uff1d0.25x\uff0d8000\u65f6\uff0cx\uff1d200000
\u5f53y1\uff1ey2\u53730.21x\uff1e0.25x\uff0d8000\u65f6\uff0cx\uff1c200000
\u5f53y1\uff1cy2\u53730.21x\uff1c0.25x\uff0d8000\u65f6\uff0cx\uff1e200000
\u2234\u3000\u82e5\u5546\u573a\u6295\u5165\u8d44\u91d120\u4e07\u5143\uff0c\u4e24\u79cd\u9500\u552e\u65b9\u5f0f\u83b7\u5229\u76f8\u540c\uff1b\u82e5\u5546\u573a\u6295\u5165\u8d44\u91d1\u5c11\u4e8e20\u4e07\u5143\uff0c\u672c\u6708\u521d\u51fa\u552e\u83b7\u5229\u8f83\u591a\uff0c\u82e5\u6295\u5165\u8d44\u91d1\u591a\u4e8e20\u4e07\u5143\uff0c\u4e0b\u6708\u521d\u51fa\u552e\u83b7\u5229\u8f83\u591a\uff0e
7\uff0e(1)\u5206\u4e24\u79cd\u60c5\u51b5\uff1ay=x(0\u2264x\u22648)\uff0cy=2x\uff0d8(x\uff1e8)\uff1b (2)14\uff0e
8\uff0e\uff081\uff09\u4e59\u5728\u7532\u524d\u976212\u7c73\uff1b\uff082\uff09s\u7532\uff1d8t\uff0cs\u4e59\uff1d12\uff0b t\uff1b
\uff083\uff09\u7531\u56fe\u50cf\u53ef\u770b\u51fa\uff0c\u5728\u65f6\u95f4t\uff1e8\u79d2\u65f6\uff0c\u7532\u8d70\u5728\u4e59\u524d\u9762\uff0c\u57280\u52308\u79d2\u4e4b\u95f4\uff0c\u7532\u8d70\u5728\u4e59\u7684\u540e\u9762\uff0c\u57288\u79d2\u65f6\u4ed6\u4eec\u76f8\u9047\uff0e
9\uff0e\u89e3\uff1a\u5982\u679c\u8d2d\u4e70\u7535\u8111\u4e0d\u8d85\u8fc711\u53f0\uff0c\u5f88\u660e\u663e\u4e59\u516c\u53f8\u6709\u4f18\u60e0\uff0c\u800c\u7532\u516c\u53f8\u6ca1\u4f18\u60e0\uff0c\u56e0\u6b64\u9009\u62e9\u4e59\u516c\u53f8\uff0e\u5982\u679c\u8d2d\u4e70\u7535\u8111\u591a\u4e8e10\u53f0\uff0e\u5219\uff1a\u8bbe\u5b66\u6821\u9700\u8d2d\u7f6e\u7535\u8111x\u53f0\uff0c\u5219\u5230\u7532\u516c\u53f8\u8d2d\u4e70\u9700\u4ed8[10\u00d75800\uff0b5800\uff08x\uff0d10\uff09\u00d770%]\u5143\uff0c\u5230\u4e59\u516c\u53f8\u8d2d\u4e70\u9700\u4ed85800\u00d785% x\u5143\uff0e\u6839\u636e\u9898\u610f\u5f97\uff1a
1\uff09\u82e5\u7532\u516c\u53f8\u4f18\u60e0\uff1a\u5219
10\u00d75800\uff0b5800\uff08x\uff0d10\uff09\u00d770%\uff1c5800\u00d785% x
\u89e3\u5f97\uff1a x\uff1e20
2\uff09\u82e5\u4e59\u516c\u53f8\u4f18\u60e0\uff1a\u5219
10\u00d75800\uff0b5800\uff08x\uff0d10\uff09\u00d770%\uff1e5800\u00d785% x
\u89e3\u5f97\uff1a x\uff1c20
3\uff09\u82e5\u4e24\u516c\u53f8\u4e00\u6837\u4f18\u60e0\uff1a\u5219
10\u00d75800\uff0b5800\uff08x\uff0d10\uff09\u00d770%\uff1d5800\u00d785% x
\u89e3\u5f97\uff1a x\uff1d20
\u7b54\uff1a\u8d2d\u7f6e\u7535\u8111\u5c11\u4e8e20\u53f0\u65f6\u9009\u4e59\u516c\u53f8\u8f83\u4f18\u60e0\uff0c\u8d2d\u7f6e\u7535\u8111\u6b63\u597d20\u53f0\u65f6\u4e24\u516c\u53f8\u968f\u4fbf\u9009\u54ea\u5bb6\uff0c\u8d2d\u7f6e\u7535\u8111\u591a\u4e8e20\u53f0\u65f6\u9009\u7532\u516c\u53f8\u8f83\u4f18\u60e0\uff0e
10\uff0e\uff081\uff09\u4ed6\u7ee7\u7eed\u5728A\u7a97\u53e3\u6392\u961f\u6240\u82b1\u7684\u65f6\u95f4\u4e3a
\uff08\u5206\uff09
\uff082\uff09\u7531\u9898\u610f\uff0c\u5f97
\uff0c\u89e3\u5f97 a\uff1e20\uff0e
11\uff0e \u89e3\uff1a\uff081\uff09\u8bbe\u8f7f\u8f66\u8981\u8d2d\u4e70x\u8f86\uff0c\u90a3\u4e48\u9762\u5305\u8f66\u8981\u8d2d\u4e70\uff0810\uff0dx\uff09\u8f86\uff0c\u7531\u9898\u610f\u5f97\uff1a
\u3000\u3000\u3000\u30007x\uff0b4\uff0810\uff0dx\uff09\u226455
\u3000\u3000\u3000\u3000\u89e3\u5f97\uff1ax\u22645
\u3000\u3000\u3000\u3000\u53c8\u2235x\u22653\uff0c\u5219 x\uff1d3\uff0c4\uff0c5
\u2234\u8d2d\u673a\u65b9\u6848\u6709\u4e09\u79cd\uff1a
\u65b9\u6848\u4e00\uff1a\u8f7f\u8f663\u8f86\uff0c\u9762\u5305\u8f667\u8f86\uff1b\u65b9\u6848\u4e8c\uff1a\u8f7f\u8f664\u8f86\uff0c\u9762\u5305\u8f666\u8f86\uff1b\u65b9\u6848\u4e09\uff1a\u8f7f\u8f665\u8f86\uff0c\u9762\u5305\u8f665\u8f86\uff1b
\uff082\uff09\u65b9\u6848\u4e00\u7684\u65e5\u79df\u91d1\u4e3a\uff1a3\u00d7200\uff0b7\u00d7110\uff1d1370\uff08\u5143\uff09
\u65b9\u6848\u4e8c\u7684\u65e5\u79df\u91d1\u4e3a\uff1a4\u00d7200\uff0b6\u00d7110\uff1d1460\uff08\u5143\uff09
\u65b9\u6848\u4e09\u7684\u65e5\u79df\u91d1\u4e3a\uff1a5\u00d7200\uff0b5\u00d7110\uff1d1550\uff08\u5143\uff09
\u4e3a\u4fdd\u8bc1\u65e5\u79df\u91d1\u4e0d\u4f4e\u4e8e1500\u5143\uff0c\u5e94\u9009\u62e9\u65b9\u6848\u4e09\uff0e
12\uff0e\uff081\uff09y1\uff1d50\uff0b0.4x\uff0cy2\uff1d0.6x\uff1b
\uff082\uff09\u5f53y1\uff1dy2\uff0c\u537350\uff0b0.4x\uff1d0.6x\u65f6\uff0cx\uff1d250\uff08\u5206\u949f\uff09\uff0c\u5373\u5f53\u901a\u8bdd\u65f6\u95f4\u4e3a250\u5206\u949f\u65f6\uff0c\u4e24\u79cd\u901a\u8baf\u65b9\u5f0f\u7684\u8d39\u7528\u76f8\u540c\uff1b
\uff083\uff09\u7531y1\uff1cy2\u537350\uff0b0.4x\uff1c0.6x\uff0c\u77e5x\uff1e250\uff0c\u5373\u901a\u8bdd\u65f6\u95f4\u8d85\u8fc7250\u5206\u949f\u65f6\u7528\u201c\u5168\u7403\u901a\u201d\u7684\u901a\u8baf\u65b9\u5f0f\u4fbf\u5b9c\uff0e
13\uff0e\u89e3\uff1a\uff081\uff09\u8be5\u5546\u573a\u5206\u522b\u8d2d\u8fdbA\u3001B\u4e24\u79cd\u5546\u54c1200\u4ef6\u3001120\u4ef6\uff0e
\uff082\uff09B\u79cd\u5546\u54c1\u6700\u4f4e\u552e\u4ef7\u4e3a\u6bcf\u4ef61080\u5143\uff0e
\u805a\u6c99\u6210\u5854
\u89e3\uff1a\uff081\uff09500n\uff1b
\uff082\uff09\u6bcf\u4ea9\u5e74\u5229\u6da6\uff1d\uff081400\u00d74\uff0b160\u00d720\uff09\uff0d\uff08500\uff0b75\u00d74\uff0b525\u00d74\uff0b15\u00d720\uff0b85\u00d720\uff09
\uff1d3900\uff08\u5143\uff09
\uff083\uff09n\u4ea9\u6c34\u7530\u603b\u6536\u76ca\uff1d3900n
\u9700\u8981\u8d37\u6b3e\u6570\uff1d\uff08500\uff0b75\u00d74\uff0b525\u00d74\uff0b15\u00d720\uff0b85\u00d720\uff09n\uff0d25000\uff1d4900n\uff0d25000
\u8d37\u6b3e\u5229\u606f\uff1d8\uff05\u00d7(4900n\uff0d25000)\uff1d392n\uff0d2000
\u6839\u636e\u9898\u610f\u5f97\uff1a
\u89e3\u5f97\uff1an\u22659.41
\u2234 n \uff1d10
\u9700\u8981\u8d37\u6b3e\u6570\uff1a4900n\uff0d25000\uff1d24000(\u5143)
\u7b54\uff1a\u674e\u5927\u7237\u5e94\u8be5\u79df10\u4ea9\u6c34\u9762\uff0c\u5e76\u5411\u94f6\u884c\u8d37\u6b3e24000\u5143\uff0c\u53ef\u4f7f\u5e74\u5229\u6da6\u8d85\u8fc735000\u5143\uff0e
1\uff0e6 \u4e00\u5143\u4e00\u6b21\u4e0d\u7b49\u5f0f\u7ec4\uff081\uff09
1\uff0eC\uff1b2\uff0eD\uff1b3\uff0eC\uff1b4\uff0eC\uff1b5\uff0eA\uff1b6\uff0eD\uff1b7\uff0eD\uff1b8\uff0e\uff0d1\uff1cy\uff1c2\uff1b9\uff0e\uff0d1\u2264x\uff1c3\uff1b
10\uff0e\uff0d \u2264x\u22644\uff1b11\uff0eM\u22652\uff1b12\uff0e2\u2264x\uff1c5\uff1b13\uff0ea\u22642\uff1b14\uff0e\uff0d6\uff1b15\uff0eA\u22641\uff1b
16\uff0e\uff081\uff09 \uff1b\uff082\uff09\u65e0\u89e3\uff1b\uff083\uff09\uff0d2\u2264x\uff1c \uff1b\uff084\uff09x\uff1e\uff0d3\uff0e
17\uff0e\u89e3\u96c6\u4e3a \uff0c\u6574\u6570\u89e3\u4e3a2\uff0c1\uff0c0\uff0c\uff0d1\uff0e
18\uff0e\u4e0d\u7b49\u5f0f\u7ec4\u7684\u89e3\u96c6\u662f \uff0c\u6240\u4ee5\u6574\u6570x\u4e3a0\uff0e
19\uff0e\u4e0d\u7b49\u5f0f\u7ec4\u7684\u89e3\u96c6\u4e3a \uff0c \u6240\u4ee5\u4e0d\u7b49\u5f0f\u7ec4\u7684\u975e\u8d1f\u6574\u6570\u89e3\u4e3a\uff1a0\uff0cl\uff0c2\uff0c3\uff0c4\uff0c5\uff0e
\u805a\u6c99\u6210\u5854 \uff0d4\uff1cm\uff1c0.5\uff0e
1\uff0e6\uff0e\u4e00\u5143\u4e00\u6b21\u4e0d\u7b49\u5f0f\u7ec4\uff082\uff09
1\uff0e\u89e3\uff1a\u8bbe\u7532\u5730\u5230\u4e59\u5730\u7684\u8def\u7a0b\u5927\u7ea6\u662fxkm\uff0c\u636e\u9898\u610f\uff0c\u5f97
\u3000\u300016<10+1.2(x\uff0d5)\u226417.2\uff0c \u89e3\u4e4b\uff0c\u5f9710\uff1cx\u226411\uff0c
\u5373\u4ece\u7532\u5730\u5230\u4e59\u5730\u8def\u7a0b\u5927\u4e8e10km\uff0c\u5c0f\u4e8e\u6216\u7b49\u4e8e11km\uff0e
2\uff0e\u89e3\uff1a\u8bbe\u7532\u79cd\u73a9\u5177\u4e3ax\u4ef6\uff0c\u5219\u7532\u79cd\u73a9\u5177\u4e3a\uff0850\uff0dx\uff09\u4ef6\uff0e\u6839\u636e\u9898\u610f\u5f97\uff1a

\u89e3\u5f97\uff1a20\u2264x\u226422
\u7b54\uff1a\u7532\u79cd\u73a9\u5177\u4e0d\u5c11\u4e8e20\u4e2a\uff0c\u4e0d\u8d85\u8fc722\u4e2a\uff0e
3\uff0e\uff081\uff09y\uff1d3.2\uff0d0.2x
\uff082\uff09\u5171\u6709\u4e09\u79cd\u65b9\u6848\uff0cA\u3001B\u4e24\u79cd\u8f66\u53a2\u7684\u8282\u6570\u5206\u522b\u4e3a24\u8282\u300116\u8282\u621625\u8282\u300115\u8282\u621626\u8282\u300114\u8282\uff0e
4\uff0e\uff081\uff09\u5171\u6709\u4e09\u79cd\u8d2d\u4e70\u65b9\u6848\uff0cA\u3001B\u4e24\u79cd\u578b\u53f7\u7684\u8bbe\u5907\u5206\u522b\u4e3a0\u53f0\u300110\u53f0\u62161\u53f0\u30019\u53f0\u62162\u53f0\u30018\u53f0\uff1b\uff082\uff09A\u3001B\u4e24\u79cd\u578b\u53f7\u7684\u8bbe\u5907\u5206\u522b1\u53f0\u30019\u53f0\uff1b\uff083\uff0910\u5e74\u8282\u7ea6\u8d44\u91d142.8\u4e07\u5143\uff0e
5\uff0e\u89e3\uff1a\u8bbe\u660e\u5e74\u53ef\u751f\u4ea7\u4ea7\u54c1x\u4ef6\uff0c\u6839\u636e\u9898\u610f\u5f97\uff1a
\u89e3\u5f97\uff1a10000\u2264x\u226412000
\u7b54\uff1a\u660e\u5e74\u4ea7\u54c1\u81f3\u591a\u80fd\u751f\u4ea712000\u4ef6\uff0e
6\uff0e\u89e3\uff1a\u8bbe\u5bbe\u9986\u5e95\u5c42\u6709\u5ba2\u623fx\u95f4\uff0c\u5219\u4e8c\u697c\u6709\u5ba2\u623f\uff08x+5\uff09\u95f4\uff0e\u6839\u636e\u9898\u610f\u5f97\uff1a
\u89e3\u5f97\uff1a9.6\uff1cx\uff1c11\uff0c\u6240\u4ee5 x = 10
\u7b54\uff1a\u8be5\u5bbe\u9986\u5e95\u5c42\u6709\u5ba2\u623f10\u95f4\uff0e
7\uff0e\u89e3\uff1a\uff081\uff09
\uff082\uff09\u7531\u9898\u610f\u53ef\u5f97

\u89e3\u2460\u5f97x\u226512
\u89e3\u2461\u5f97x\u226414
\u2234\u4e0d\u7b49\u5f0f\u7684\u89e3\u4e3a12\u2264x\u226414
\u2235x\u662f\u6b63\u6574\u6570
\u2234x\u7684\u53d6\u503c\u4e3a12\uff0c13\uff0c14
\u5373\u67093\u79cd\u4fee\u5efa\u65b9\u6848\uff1a\u2460A\u578b12\u4e2a\uff0cB\u578b8\u4e2a\uff1b\u2461A\u578b13\u4e2a\uff0cB\u578b7\u4e2a\uff1b\u2462A\u578b14\u4e2a\uff0cB\u578b6\u4e2a\uff0e
\uff083\uff09\u2235y\uff1dx\uff0b40\u4e2d\uff0c \u968f \u7684\u589e\u52a0\u800c\u589e\u52a0\uff0c\u8981\u4f7f\u8d39\u7528\u6700\u5c11\uff0c\u5219x\uff1d12
\u2234\u6700\u5c11\u8d39\u7528\u4e3ay\uff1dx\uff0b40\uff1d52\uff08\u4e07\u5143\uff09
\u6751\u6c11\u6bcf\u6237\u96c6\u8d44700\u5143\u4e0e\u653f\u5e9c\u8865\u52a9\u5171\u8ba1\uff1a700\u00d7264\uff0b340000\uff1d524800\uff1e520000
\u2234\u6bcf\u6237\u96c6\u8d44700\u5143\u80fd\u6ee1\u8db3\u6240\u9700\u8981\u8d39\u7528\u6700\u5c11\u7684\u4fee\u5efa\u65b9\u6848\uff0e
8\uff0e\u89e3\uff1a\uff081\uff09\u8bbe\u4e00\u76d2\u201c\u798f\u5a03\u201d \u5143\uff0c\u4e00\u679a\u5fbd\u7ae0 \u5143\uff0c\u6839\u636e\u9898\u610f\u5f97
\u89e3\u5f97
\u7b54\uff1a\u4e00\u76d2\u201c\u798f\u5a03\u201d150\u5143\uff0c\u4e00\u679a\u5fbd\u7ae015\u5143\uff0e
\uff082\uff09\u8bbe\u4e8c\u7b49\u5956m\u540d\uff0c\u5219\u4e09\u7b49\u5956\uff0810\u2014m\uff09\u540d\uff0c

\u89e3\u5f97 \uff0e
\u2235m\u662f\u6574\u6570\uff0c\u2234m\uff1d4\uff0c\u223410\uff0dm\uff1d6\uff0e
\u7b54\uff1a\u4e8c\u7b49\u59564\u540d\uff0c\u4e09\u7b49\u59566\u540d\uff0e
\u5355\u5143\u7efc\u5408\u8bc4\u4ef7
1\uff0e 3a\uff0d2b\u22645\uff1b 2\uff0e0\uff0c1\uff0c2\uff0c3\uff1b 3\uff0e \uff1c\uff1b 4\uff0e x\uff1e \uff1b 5\uff0e m\uff1c2\uff1b 6\uff0e\uff12\uff18\u4eba\u6216\uff12\uff19\u4eba7\uff0e \uff1b 8\uff0e \uff1b 9\uff0ex\uff1e2\uff1b 10\uff0e 1\uff0e
11\uff0e D\uff1b 12\uff0e B\uff1b13\uff0e B\uff1b14\uff0e C\uff1b15\uff0e D\uff1b16\uff0e C\uff1b17\uff0e B\uff1b18\uff0e A\uff0e
19\uff0e\u89e3\uff1a\u56fe\u7565 (1)x\uff1e\uff0d4 (2)\uff0d6\u2264x\u2264\uff0d2\uff0e
20\uff0e\uff081\uff09x\u22644\uff1b\uff082\uff09x\uff1c3\uff1b\uff083\uff091\uff1cx\u22642\uff1b \uff084\uff092\uff1cx\u22644\uff0e
21\uff0e \u89e3\uff1a9a2 + 5a + 3\uff0d\uff089a2\uff0da \uff0d1\uff09\uff1d6a\uff0b4
\u5f536a\uff0b4\uff1e0\u5373a\uff1e\uff0d \u65f6\uff0c9a2 + 5a + 3\uff1e9a2\uff0da \uff0d1
\u5f536a\uff0b4\uff1d0\u5373a\uff1d\uff0d \u65f6\uff0c9a2 + 5a + 3\uff1d9a2\uff0da \uff0d1
\u5f536a\uff0b4\uff1c0\u5373a\uff1c\uff0d \u65f6\uff0c9a2 + 5a + 3\uff1c9a2\uff0da \uff0d1\uff0e
22\uff0e\u89e3\uff1a\u6839\u636e\u4e09\u89d2\u5f62\u4e09\u8fb9\u5173\u7cfb\u5b9a\u7406\uff0c\u5f97

\u89e3\u5f97 \uff0e
23\uff0e\u89e3\uff1a\u8bbe\u5bfc\u706b\u7ebf\u81f3\u5c11\u9700xcm\uff0c\u6839\u636e\u9898\u610f\uff0c\u5f97



\u7b54\uff1a\u5bfc\u706b\u7ebf\u81f3\u5c11\u9700\u898181\u5398\u7c73\u957f\uff0e
24\uff0e\u89e3\uff1a\u5047\u8bbe\u5b58\u5728\u7b26\u5408\u6761\u4ef6\u7684\u6574\u6570m\uff0e
\u7531 \u89e3\u5f97
\u7531 \u6574\u7406\u5f97 \uff0c
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(8)2(x+y)(3x-2y); (9) ; (10) ;
9.C;10.10;21;11. ;12. ;13. ;14.6;
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1.1 不等关系
1.B; 2.A; 3.D; 4.C; 5.C ;6.D;7.(1)>,(2)>;8.3y+4x<0;9.x<ll.7,x≥11.7;10.a<1< ;11.8;12. a2+ b2>ab (a≠b) .
13.(1)2a<a+3,(2) ,(3)3x+l< 2x-5.
14.(1)设这个数为x,则x2≥0;(2)设某天的气温为x℃, 则≤25.
15.2a<a+b<3b.
16.a>b.
17.设参加春游的同学x人,则8x<250,9x>250(或8x< 250<9x).
18.50+(20-3)x>270.
19.设该同学至少应答对x道题,依题意有6x-(16-x)×2 60.
20.(1)>(2)=(3)>(4)>(5)>; ≥2ab(当a=b时取等号).
聚沙成塔:甲同学说的意思是:如果每5人一组玩一个篮球,那么玩球的人数少于50人,有些同学就没有球玩.
乙同学说的意思是:如果每6人一组玩一个篮球,那么就会有一个组玩篮球的人数不足6人.
丙同学说的意思是:如果每6人一组玩一个篮球,除了一个球以外,剩下的每6人玩一个球,还有几个(不足6人)玩另外一个篮球.
1.2 不等式的基本性质
1.C; 2.D; 3.B; 4.A; 5.C; 6.A; 7.C; 8.D; 9.(1)<(2)>(3)>(4)>(5)>(6)<;10.(1)<(2)>(3)>(4)<;11.a<0; 12.(4);
13.0,1,2,3,4,5; 14.< ; 15.<2 <0; 16.> .
17.(1)x>5;(2) ;(3)得x<-3.(4)x<-8.
18.解:根据不等式基本性质3,两边都乘以-12,得3a>4a.
根据不等式基本性质1,两边都减去3a,得0>a ,即a<0 ,即a为负数.
19.(1)a>0;(2)a>l或a<0;(3)a<0.
聚沙成塔
解:∵ = × = ×(10+ )=12.5+ <13
= = (10+ )=13.33+ >13
∴ > >0 ∴A<B
点拨:利用倒数比较大小是一种重要方法.
1.3 不等式的解集
1.A;2.B;3.C;4.D;5.B;6.A;7.B;8.C;9.答案不唯一,如x-1≤0,2x≤2等. 10.= ,≤ .11.x=2. 12.x=1,2,3 13.-6. 14.(1)x>3;(2)x<6;(3)x>5;(4)x>10. 15.x=1,2 16.n>75% 40%≤n≤49% n<20% 温饱.
17.图略.18.答案不惟一:(1)x<4; (2) -3<x≤1.
19.不少于1.5克.
20.x可取一切实数.
21.非负整数为0,1,2,3.
22. x> .
23. k大于36时b为负数.
24. a=-3
聚沙成塔
解:设白球有x个,红球有y个,由题意,得
由第一个不等式得:3x<3y<6x,由第二个不等式得,3y=60-2x,则有3x<60-2x<6x
∴7.5<x<12,∴x可取8,9,10,11.
又∵2x=60-3y=3(20-y) ∴2x应是3的倍数
∴x只能取9,y = = 14
答:白球有9个,红球有14个.
1.4一元一次不等式(1)
1.B;2.C;3.D;4.B;5.B;6.D;7.A;8.A;9.x=0,-1,-2,-3,-4 ;10.x<-3;11.R>3;12.-6;13.2;14.2≤a<3; 15.x≥ .
16.第④步错误,应该改成无论x取何值,该不等式总是成立的,所以x取一切数.
17.(1)得x≥1;(2)x>5;(3)x≤1;(4)x< 3;
18.(1)解不等式 ,得
所以当 时, 的值是非负数.
(2)解不等式 ,得
所以当 时,代数式 的值不大于1
19.p>-6. 20.-11.
聚沙成塔
解:假设存在符合条件的整数m.
由 解得
由 整理得 ,
当 时, .
根据题意,得 解得 m=7
把m=7代入两已知不等式,都解得解集为 ,因此存在整数m,使关于x的不等式与 是同解不等式,且解集为 .
1.4一元一次不等式(2)
1.B; 2.B; 3.C; 4.C; 5.D; 6.12; 7.13; 8.152.
9.以后6天内平均每天至少要挖土80立方米.
10.以后每个月至少要生产100台.
11.不少于16千米.
12.每天至少安排3个小组.
13.招聘A工种工人为50人时,可使每月所付的工资最少,此时每月工资为130000元.
14.甲厂每天处理垃圾至少需要6小时.
15.(1)y=9.2-0.9x;;(2)饼干和牛奶的标价分别为2元、8元.
聚沙成塔
解:(1)由题意,可将一、二、三等奖的奖品定为相册、笔记本、钢笔即可.此时所需费用为5×6+10×5+25×4=180(元);
(2)设三等奖的奖品单价为x元,则二等奖奖品单价应为4x元,一等奖奖品单价为20x元,由题意应由5×20x+10×4x+25×x≤1000,解得x≤6.06(元).故x可取6元、5元、4元.故4x依次应为24元,20元,16元,20x依次应为120元、100元、80元.再看表格中所提供各类奖品单价可知,120元、24元、6元以及80元、16元、4元这两种情况适合题意,故有两种购买方案,方案一:奖品单价依次为120元、24元、6元,所需费用为990元;方案二:奖品单价依次为80元、16元、4元,所需费用为660元.从而可知花费最多的一种方案需990元.
1.5一元一次不等式与一次函数(1)
1.A;2.D;3.C;4.C;5.B;6.A;7.D;8.B;9.m<4且m≠1;10.20;11.x>- ,x<- ;12.x<-5;13.x>-2;14.x<3;15.(-3,0);16.(2,3).
17.(1) ;(2)x≤0.
18. (1)P(1,0);(2)当x<1时y1>y2,当x>1时y1<y2.
聚沙成塔
在直角坐标系画出直线x=3,x+y=0,x-y+5=0,
因原点(0,0)不在直线x-y+5=0上,
故将原点(0,0)代入x-y+5可知,原点所在平面区域表示x-y+5≥0部分,
因原点在直线x+y=0上,
故取点(0,1)代入x+y判定可知点(0,1)所在平面区域表示x+y≥0的部分,见图阴影部分.
1.5 一元一次不等式与一次函数(2)
1.B;2.B;3.A;4.13;
5.(1)y1=600+500x y2=2000+200x;
(2)x>4 ,到第5个月甲的存款额超过乙的存款额.
6.设商场投入资金x元,
如果本月初出售,到下月初可获利y1元,
则y1=10%x+(1+10%)x·10%=0.1x+0.11x=0.21x;
如果下月初出售,可获利y2元,则y2=25%x-8000=0.25x-8000
当y1=y2即0.21x=0.25x-8000时,x=200000
当y1>y2即0.21x>0.25x-8000时,x<200000
当y1<y2即0.21x<0.25x-8000时,x>200000
∴ 若商场投入资金20万元,两种销售方式获利相同;若商场投入资金少于20万元,本月初出售获利较多,若投入资金多于20万元,下月初出售获利较多.
7.(1)分两种情况:y=x(0≤x≤8),y=2x-8(x>8); (2)14.
8.(1)乙在甲前面12米;(2)s甲=8t,s乙=12+ t;
(3)由图像可看出,在时间t>8秒时,甲走在乙前面,在0到8秒之间,甲走在乙的后面,在8秒时他们相遇.
9.解:如果购买电脑不超过11台,很明显乙公司有优惠,而甲公司没优惠,因此选择乙公司.如果购买电脑多于10台.则:设学校需购置电脑x台,则到甲公司购买需付[10×5800+5800(x-10)×70%]元,到乙公司购买需付5800×85% x元.根据题意得:
1)若甲公司优惠:则
10×5800+5800(x-10)×70%<5800×85% x
解得: x>20
2)若乙公司优惠:则
10×5800+5800(x-10)×70%>5800×85% x
解得: x<20
3)若两公司一样优惠:则
10×5800+5800(x-10)×70%=5800×85% x
解得: x=20
答:购置电脑少于20台时选乙公司较优惠,购置电脑正好20台时两公司随便选哪家,购置电脑多于20台时选甲公司较优惠.
10.(1)他继续在A窗口排队所花的时间为
(分)
(2)由题意,得
,解得 a>20.
11. 解:(1)设轿车要购买x辆,那么面包车要购买(10-x)辆,由题意得:
    7x+4(10-x)≤55
    解得:x≤5
    又∵x≥3,则 x=3,4,5
∴购机方案有三种:
方案一:轿车3辆,面包车7辆;方案二:轿车4辆,面包车6辆;方案三:轿车5辆,面包车5辆;
(2)方案一的日租金为:3×200+7×110=1370(元)
方案二的日租金为:4×200+6×110=1460(元)
方案三的日租金为:5×200+5×110=1550(元)
为保证日租金不低于1500元,应选择方案三.
12.(1)y1=50+0.4x,y2=0.6x;
(2)当y1=y2,即50+0.4x=0.6x时,x=250(分钟),即当通话时间为250分钟时,两种通讯方式的费用相同;
(3)由y1<y2即50+0.4x<0.6x,知x>250,即通话时间超过250分钟时用“全球通”的通讯方式便宜.
13.解:(1)该商场分别购进A、B两种商品200件、120件.
(2)B种商品最低售价为每件1080元.
聚沙成塔
解:(1)500n;
(2)每亩年利润=(1400×4+160×20)-(500+75×4+525×4+15×20+85×20)
=3900(元)
(3)n亩水田总收益=3900n
需要贷款数=(500+75×4+525×4+15×20+85×20)n-25000=4900n-25000
贷款利息=8%×(4900n-25000)=392n-2000
根据题意得:
解得:n≥9.41
∴ n =10
需要贷款数:4900n-25000=24000(元)
答:李大爷应该租10亩水面,并向银行贷款24000元,可使年利润超过35000元.
1.6 一元一次不等式组(1)
1.C;2.D;3.C;4.C;5.A;6.D;7.D;8.-1<y<2;9.-1≤x<3;
10.- ≤x≤4;11.M≥2;12.2≤x<5;13.a≤2;14.-6;15.A≤1;
16.(1) ;(2)无解;(3)-2≤x< ;(4)x>-3.
17.解集为 ,整数解为2,1,0,-1.
18.不等式组的解集是 ,所以整数x为0.
19.不等式组的解集为 , 所以不等式组的非负整数解为:0,l,2,3,4,5.
聚沙成塔 -4<m<0.5.
1.6.一元一次不等式组(2)
1.解:设甲地到乙地的路程大约是xkm,据题意,得
  16<10+1.2(x-5)≤17.2, 解之,得10<x≤11,
即从甲地到乙地路程大于10km,小于或等于11km.
2.解:设甲种玩具为x件,则甲种玩具为(50-x)件.根据题意得:

解得:20≤x≤22
答:甲种玩具不少于20个,不超过22个.
3.(1)y=3.2-0.2x
(2)共有三种方案,A、B两种车厢的节数分别为24节、16节或25节、15节或26节、14节.
4.(1)共有三种购买方案,A、B两种型号的设备分别为0台、10台或1台、9台或2台、8台;(2)A、B两种型号的设备分别1台、9台;(3)10年节约资金42.8万元.
5.解:设明年可生产产品x件,根据题意得:
解得:10000≤x≤12000
答:明年产品至多能生产12000件.
6.解:设宾馆底层有客房x间,则二楼有客房(x+5)间.根据题意得:
解得:9.6<x<11,所以 x = 10
答:该宾馆底层有客房10间.
7.解:(1)
(2)由题意可得

解①得x≥12
解②得x≤14
∴不等式的解为12≤x≤14
∵x是正整数
∴x的取值为12,13,14
即有3种修建方案:①A型12个,B型8个;②A型13个,B型7个;③A型14个,B型6个.
(3)∵y=x+40中, 随 的增加而增加,要使费用最少,则x=12
∴最少费用为y=x+40=52(万元)
村民每户集资700元与政府补助共计:700×264+340000=524800>520000
∴每户集资700元能满足所需要费用最少的修建方案.
8.解:(1)设一盒“福娃” 元,一枚徽章 元,根据题意得
解得
答:一盒“福娃”150元,一枚徽章15元.
(2)设二等奖m名,则三等奖(10—m)名,

解得 .
∵m是整数,∴m=4,∴10-m=6.
答:二等奖4名,三等奖6名.
单元综合评价
1. 3a-2b≤5; 2.0,1,2,3; 3. <; 4. x> ; 5. m<2; 6.28人或29人
7. ; 8. ; 9.x>2; 10. 1.
11. D; 12. B;13. B;14. C;15. D;16. C;17. B;18. A.
19.解:图略 (1)x>-4 (2)-6≤x≤-2.
20.(1)x≤4;(2)x<3;(3)1<x≤2; (4)2<x≤4.
21. 解:9a2 + 5a + 3-(9a2-a -1)=6a+4
当6a+4>0即a>- 时,9a2 + 5a + 3>9a2-a -1
当6a+4=0即a=- 时,9a2 + 5a + 3=9a2-a -1
当6a+4<0即a<- 时,9a2 + 5a + 3<9a2-a -1.
22.解:根据三角形三边关系定理,得

解得 .
23.解:设导火线至少需xcm,根据题意,得

答:导火线至少需要81厘米长.
24.解:假设存在符合条件的整数m.
由 解得
由 整理得 ,
当 时, .
根据题意,得 解得 m=7
把m=7代入两已知不等式,都解得解集为
因此存在整数m,使关于x的不等式与 是同解不等式,且解集为 .
25.解:(1)y1=250x+200,y2=222x+1600.
(2)分三种情况:①若y1>y2,250x+200>222x+1600,解得x>50;
②若y1=y2,解得x=50;
③若y1<y2,解得x<50.
因此,当所运海产品不少于30吨且不足50吨时,应选择汽车货运公司承担运输业务;当所运海产品刚好50吨时,可选择任意一家货运公司;当所运海产品多于50吨时,应选择铁路货运公司承担业务.
第二章 分解因式
2.1分解因式
1.整式,积;2.整式乘法;3.因式分解;4.C;5.A;6.D;7.D;8.B;9. ;
10.0; 11.C; 12.能;
2.2提公因式法
1. ;2. ;3. ;4.(1)x+1;(2)b-c;5. ;6.D;7.A;
8.(1)3xy(x-2); (2) ; (3) ; (4) ;
(5) ; (6) ;(7) ;
(8)2(x+y)(3x-2y); (9) ; (10) ;
9.C;10.10;21;11. ;12. ;13. ;14.6;
2.3运用公式法(1)
1.B;2.B;3.C;4.(1) ;(2) ; 5.(1)800;(2)3.98;
6.(1)(2x+5y)(2x-5y); (2)y(x+1)(x-1); (3)(2x+y-z)(2x-y+z); (4)(5a-3b)(3a-5b);
(5)-3xy(y+3x)(y-3x); (6)4a2(x+2y)(x-2y); (7)(a+4)(a-4); (8) ;
(9)(7p+5q)(p+7q); (10)-(27a+b)(a+27b); 7.xm+1(x+1)(x-1); 8.A; 9.2008; 10. ;
2.3运用公式法(2)
1.±8;2.1;3. ;4.(1)5x+1;(2)b-1;(3)4;2;(4)±12mn;2m±3n;5.D;6.C;7.D;8.D;9.C;10.C;11.A;12.(1)-(2a-1)2;(2)-y(2x-3y)2;(3)(3x-3y+1)2;(4)3(1-x)2;
(5)-a(1-a)2; (6)(x+y)2(x-y)2; (7)(a+b)2(a-b)2; (8)(x+3)2(x-3)2; (9) ;
(10)-2axn-1(1-3x)2; 13.x=2;y=-3; 14.(1)240000;(2)2500;15.7;16. ;17.A;18.B;19.B;20.1;
单元综合评价
1.C; 2.B; 3.B; 4.C; 5.C; 6.A; 7.C; 8.D; 9.A; 10.A;
11.-11或13;12.57;13.-6;14.3;15.5;16. -3xy(3x2y+2xy-1); 17.(a-b)2(a+b); 18. ;
19.(x+y)2(x-y)2; 20.45000; 21.14; 22.
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