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\u521d\u4e2d\u6570\u5b66\u603b\u590d\u4e60,\u662f\u5b8c\u6210\u521d\u4e2d3\u5e74\u6570\u5b66\u6559\u5b66\u4efb\u52a1\u4e4b\u540e\u7684\u4e00\u4e2a\u7cfb\u7edf\u3001\u5b8c\u5584\u3001\u6df1\u5316\u6240\u5b66\u5185\u5bb9\u7684\u5173\u952e\u73af\u8282,\u505a\u597d\u521d\u4e09\u6570\u5b66\u590d\u4e60\u8bfe\u7684\u6559\u5b66,\u5bf9\u5927\u9762\u79ef\u63d0\u9ad8\u6559\u5b66\u8d28\u91cf\u8d77\u7740\u975e\u5e38\u91cd\u8981\u7684\u4f5c\u7528\u3002\u4e0b\u9762\u662f\u5c0f\u7f16\u4e3a\u5927\u5bb6\u6574\u7406\u7684\u5173\u4e8e\u4e5d\u5e74\u7ea7\u4e0a\u518c\u6570\u5b66\u540c\u6b65\u7ec3\u4e60\u7b54\u6848\uff0c\u5e0c\u671b\u5bf9\u60a8\u6709\u6240\u5e2e\u52a9!<\/p>\n

\u4e5d\u5e74\u7ea7\u4e0a\u518c\u6570\u5b66\u914d\u5957\u7ec3\u4e60\u7b54\u6848<\/strong><\/p>\n

1.1<\/p>\n

1.212.1.2 14.4 3.C 4.A 5.CD=3\uff0cAB=6\uff0cB\u2032C\u2032=3\uff0c\u2220B=70\u00b0,\u2220D\u2032=118\u00b06.(1)AB=32\uff0cCD=33;(2)88\u00b0.7.\u4e0d\u76f8\u4f3c.\u8bbe\u65b0\u77e9\u5f62\u7684\u957f\u3001\u5bbd\u5206\u522b\u4e3aa+2x,b+2x.(1)a+2xa-b+2xb=2(b-a)xab.<\/p>\n

\u2235a>b,x>0,\u2234a+2xa\u2260b+2xb;<\/p>\n

(2)a+2xb-b+2xa=(a-b)(a+b+2x)ab\u22600,<\/p>\n

\u2234a+2xb\u2260b+2xa.\u7531(1)(2)\u53ef\u77e5\uff0c\u8fd9\u4e24\u4e2a\u77e9\u5f62\u7684\u8fb9\u957f\u5bf9\u5e94\u4e0d\u6210\u6bd4\u4f8b,\u6240\u4ee5\u8fd9\u4e24\u4e2a\u77e9\u5f62\u4e0d\u76f8\u4f3c.<\/p>\n

1.2\u7b2c1\u8bfe\u65f6<\/p>\n

1.DE\u2236EC.\u57fa\u672c\u4e8b\u5b9e92.AE=5.\u57fa\u672c\u4e8b\u5b9e9\u7684\u63a8\u8bba<\/p>\n

3.A4.A5.52\uff0c536.1\uff1a2(\u8bc1\u660e\u89c17)7.AOAD=2(n+1)+1.\u7406\u7531\u662f\uff1a\u2235AEAC=1n+1,\u8bbeAE=x\uff0c\u5219AC=(n+1)x,EC=nx.\u8fc7D\u4f5cDF\u2016BE\u4ea4AC\u4e8e\u70b9F.\u2235D\u4e3aBC\u7684\u4e2d\u70b9.\u2234EF=FC.\u2234EF=nx2.\u2235\u25b3AOE\u223d\u25b3ADF.\u2234AOAD=AEAF=2n+2=2(n+1)+1.<\/p>\n

\u7b2c2\u8bfe\u65f6<\/p>\n

1.\u2220ADC=\u2220ACB\u6216\u2220ACD=\u2220B2.\u2220C=\u2220E\u6216\u2220B=\u2220D3.B4.C5.C6.\u25b3ABC\u223d\u25b3AFG.<\/p>\n

7.\u25b3ADE\u223d\u25b3ABC,\u25b3ADE\u223d\u25b3CBD,\u25b3CBD\u223d\u25b3ABC.<\/p>\n

8.\u7565.<\/p>\n

\u7b2c3\u8bfe\u65f6<\/p>\n

1.AC2AB2.4.3.C4.D5.23.6.\u2235ADQC=2,DQCP=2,\u2220D=\u2220C.\u2234\u25b3ADQ\u223d\u25b3QCP.7.\u4e24\u5bf9.<\/p>\n

\u2235\u2220BAC=\u2220BDC,\u2220AOB=\u2220DOC,\u2234\u25b3AOB\u223d\u25b3DOC.\u2234AOBO=DOCO.\u2235\u2220AOD=\u2220BOC.\u2234\u25b3AOD\u223d\u25b3BOC.<\/p>\n

\u4e5d\u5e74\u7ea7\u4e0a\u518c\u6570\u5b66\u7ec3\u4e60\u518c\u53c2\u8003\u7b54\u6848<\/strong><\/p>\n

\u7b2c\u4e00\u9898\u7b54\u6848<\/p>\n

12345<\/p>\n

CCCBC<\/p>\n

678910<\/p>\n

DBCCC<\/p>\n

\u7b2c\u4e8c\u9898\u7b54\u6848<\/p>\n

1\u3001<\/p>\n

2\u3001x2+6x+1=0<\/p>\n

3\u3001-2<\/p>\n

4\u3001x2=4<\/p>\n

5\u300166<\/p>\n

6\u30011<\/p>\n

7\u30016000<\/p>\n

\u7b2c\u4e09\u9898\u7b2c1\u9898\u7b54\u6848<\/p>\n

(1)11\/2-3\/2<\/p>\n

(2)<\/p>\n

(3)2.5-1<\/p>\n

(4)<\/p>\n

\u7b2c2\u9898\u7b54\u6848<\/p>\n

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\u89e3\u5f97\uff0cx\u2081=1\uff0cx\u2082= 3\/2<\/p>\n

\u7b2c3\u9898\u7b54\u6848<\/p>\n

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\u53732k=-4\uff0c<\/p>\n

\u89e3\u5f97\uff1ak=-2\uff0c<\/p>\n

\u65b9\u7a0b\u4e3ax2+x-6=0\uff0c<\/p>\n

\u5373(x-2)(x+3)=0\uff0c<\/p>\n

\u89e3\u5f97\uff1ax=2\u6216x=-3\uff0c<\/p>\n

\u5219k\u7684\u503c\u4e3a-2\uff0c\u53e6\u4e00\u6839\u4e3a-3\u3002<\/p>\n

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\u30101.1\u76f8\u4f3c\u591a\u8fb9\u5f62\u7b54\u6848\u3011<\/p>\n

1\u300121<\/p>\n

2\u30011.2\uff0c14.4<\/p>\n

3\u3001C<\/p>\n

4\u3001A<\/p>\n

5\u3001CD=3\uff0cAB=6\uff0cB\u2032C\u2032=3\uff0c<\/p>\n

\u2220B=70\u00b0\uff0c\u2220D\u2032=118\u00b0<\/p>\n

6\u3001(1)AB=32\uff0cCD=33;<\/p>\n

(2)88\u00b0.<\/p>\n

7\u3001\u4e0d\u76f8\u4f3c\uff0c\u8bbe\u65b0\u77e9\u5f62\u7684\u957f\u3001\u5bbd\u5206\u522b\u4e3aa+2x\uff0cb+2x\uff0c<\/p>\n

(1)a+2xa-b+2xb=2(b-a)xab\uff0c<\/p>\n

\u2235a>b\uff0cx>0\uff0c<\/p>\n

\u2234a+2xa\u2260b+2xb;<\/p>\n

(2)a+2xb-b+2xa=(a-b)(a+b+2x)ab\u22600\uff0c<\/p>\n

\u2234a+2xb\u2260b+2xa\uff0c<\/p>\n

\u7531(1)(2)\u53ef\u77e5\uff0c\u8fd9\u4e24\u4e2a\u77e9\u5f62\u7684\u8fb9\u957f\u5bf9\u5e94\u4e0d\u6210\u6bd4\u4f8b\uff0c\u6240\u4ee5\u8fd9\u4e24\u4e2a\u77e9\u5f62\u4e0d\u76f8\u4f3c.<\/p>\n

\u30101.2\u600e\u6837\u5224\u5b9a\u4e09\u89d2\u5f62\u76f8\u4f3c\u7b2c1\u8bfe\u65f6\u7b54\u6848\u3011<\/p>\n

1\u3001DE\u2236EC\uff0c\u57fa\u672c\u4e8b\u5b9e9<\/p>\n

2\u3001AE=5\uff0c\u57fa\u672c\u4e8b\u5b9e9\u7684\u63a8\u8bba<\/p>\n

3\u3001A<\/p>\n

4\u3001A<\/p>\n

5\u30015\/2\uff0c5\/3<\/p>\n

6\u30011\uff1a2<\/p>\n

7\u3001AO\/AD=2(n+1)+1\uff0c<\/p>\n

\u7406\u7531\u662f\uff1a<\/p>\n

\u2235AE\/AC=1n+1\uff0c\u8bbeAE=x\uff0c\u5219AC=(n+1)x\uff0cEC=nx\uff0c\u8fc7D\u4f5cDF\u2225BE\u4ea4AC\u4e8e\u70b9F\uff0c<\/p>\n

\u2235D\u4e3aBC\u7684\u4e2d\u70b9\uff0c<\/p>\n

\u2234EF=FC\uff0c<\/p>\n

\u2234EF=nx\/2.<\/p>\n

\u2235\u25b3AOE\u223d\u25b3ADF\uff0c<\/p>\n

\u2234AO\/AD=AE\/AF=2n+2=2(n+1)+1.<\/p>\n

\u30101.2\u600e\u6837\u5224\u5b9a\u4e09\u89d2\u5f62\u76f8\u4f3c\u7b2c2\u8bfe\u65f6\u7b54\u6848\u3011<\/p>\n

1\u3001\u2220ADC=\u2220ACB\u6216\u2220ACD=\u2220B<\/p>\n

2\u3001\u2220C=\u2220E\u6216\u2220B=\u2220D<\/p>\n

3-5BCC<\/p>\n

6\u3001\u25b3ABC\u223d\u25b3AFG.<\/p>\n

7\u3001\u25b3ADE\u223d\u25b3ABC\uff0c\u25b3ADE\u223d\u25b3CBD\uff0c\u25b3CBD\u223d\u25b3ABC.<\/p>\n

\u30101.2\u600e\u6837\u5224\u5b9a\u4e09\u89d2\u5f62\u76f8\u4f3c\u7b2c3\u8bfe\u65f6\u7b54\u6848\u3011<\/p>\n

1\u3001AC\/2AB<\/p>\n

2\u30014<\/p>\n

3\u3001C<\/p>\n

4\u3001D<\/p>\n

5\u300123.<\/p>\n

6\u3001\u2235AD\/QC=2\uff0cDQ\/CP=2\uff0c\u2220D=\u2220C\uff0c<\/p>\n

\u2234\u25b3ADQ\u223d\u25b3QCP.<\/p>\n

7\u3001\u4e24\u5bf9\uff0c<\/p>\n

\u2235\u2220BAC=\u2220BDC\uff0c\u2220AOB=\u2220DOC\uff0c<\/p>\n

\u2234\u25b3AOB\u223d\u25b3DOC\uff0c<\/p>\n

\u2234AO\/BO=DO\/CO\uff0c<\/p>\n

\u2235\u2220AOD=\u2220BOC\uff0c<\/p>\n

\u2234\u25b3AOD\u223d\u25b3BOC.<\/p>\n

\u30101.2\u600e\u6837\u5224\u5b9a\u4e09\u89d2\u5f62\u76f8\u4f3c\u7b2c4\u8bfe\u65f6\u7b54\u6848\u3011<\/p>\n

1\u3001\u5f53AE=3\u65f6\uff0cDE=6;<\/p>\n

\u5f53AE=16\/3\u65f6\uff0cDE=8.<\/p>\n

2-4BBA<\/p>\n

5\u3001\u25b3AED\u223d\u25b3CBD\uff0c<\/p>\n

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6\u3001\u2235\u25b3ADE\u223d\u25b3ABC\uff0c<\/p>\n

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\u2235AD\/AB=AE\/AC\uff0c<\/p>\n

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7\u3001\u25b3ABC\u223d\u25b3ADE\uff0c\u25b3AEF\u223d\u25b3BCF\uff0c\u25b3ABD\u223d\u25b3ACE\uff0c<\/p>\n

\u30101.2\u600e\u6837\u5224\u5b9a\u4e09\u89d2\u5f62\u76f8\u4f3c\u7b2c5\u8bfe\u65f6\u7b54\u6848\u3011<\/p>\n

1\u30015m<\/p>\n

2\u3001C<\/p>\n

3\u3001B<\/p>\n

4\u30011.5m<\/p>\n

5\u3001\u8fde\u63a5D\u2081D\u5e76\u5ef6\u957f\u4ea4AB\u4e8e\u70b9G\uff0c<\/p>\n

\u2235\u25b3BGD\u223d\u25b3DMF\uff0c<\/p>\n

\u2234BG\/DM=GD\/MF;<\/p>\n

\u2235\u25b3BGD\u2081\u223d\u25b3D\u2081NF\u2081\uff0c<\/p>\n

\u2234BG\/D\u2081N=GD\u2081\/NF\u2081.<\/p>\n

\u8bbeBG=x\uff0cGD=y\uff0c<\/p>\n

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y=16\uff0cAB=BG+GA=12+3=15(m).<\/p>\n

6\u300112.05m.<\/p>\n

\u30101.3\u76f8\u4f3c\u4e09\u89d2\u5f62\u7684\u6027\u8d28\u7b54\u6848\u3011<\/p>\n

1\u30018<\/p>\n

2\u30019\/16<\/p>\n

3-5ACA<\/p>\n

6\u3001\u7565<\/p>\n

7\u3001OM\/ON=BC\/DE=AM\/AN=4<\/p>\n

8\u3001(1)AC=10\uff0cOC=5.<\/p>\n

\u2235\u25b3OMC\u223d\u25b3BAC\uff0c<\/p>\n

\u2234OM\/BA=OC\/BC\uff0cOM=15\/4<\/p>\n

(2)75\/384<\/p>\n

\u30101.4\u56fe\u5f62\u7684\u4f4d\u4f3c\u7b2c1\u8bfe\u65f6\u7b54\u6848\u3011<\/p>\n

1\u30013\uff1a2<\/p>\n

2\u3001\u25b3EQC\uff0c\u25b3BPE.<\/p>\n

3\u3001B<\/p>\n

4\u3001A.<\/p>\n

5\u3001\u7565.<\/p>\n

6\u3001625\uff1a1369<\/p>\n

7\u3001(1)\u7565;<\/p>\n

(2)\u25b3OAB\u4e0e\u25b3OEF\u662f\u4f4d\u4f3c\u56fe\u5f62.<\/p>\n

\u30101.4\u56fe\u5f62\u7684\u4f4d\u4f3c\u7b2c2\u8bfe\u65f6\u7b54\u6848\u3011<\/p>\n

1\u3001(9\uff0c6)<\/p>\n

2\u3001(-6\uff0c0)\uff0c(2\uff0c0)\uff0c(-4\uff0c6)<\/p>\n

3\u3001C.<\/p>\n

4\u3001\u7565.<\/p>\n

5\u3001(1)A(-6\uff0c6)\uff0cB(-8\uff0c0);<\/p>\n

(2)A\u2032(-3\uff0c3)\uff0cB\u2032(-4\uff0c0)\uff0cC\u2032(1\uff0c0)\uff0cD\u2032(2\uff0c3)<\/p>\n

6\u3001(1)(0\uff0c-1);<\/p>\n

(2)A\u2082(-3\uff0c4)\uff0cC\u2082(-2\uff0c2);<\/p>\n

(3)F(-3\uff0c0).<\/p>\n

\n

<\/em>\u4e5d\u5e74\u7ea7\u4e0a\u518c\u6570\u5b66\u540c\u6b65\u7ec3\u4e60\u7b54\u6848\u76f8\u5173\u6587\u7ae0\uff1a<\/strong><\/p>\n

\u2605 \u4e5d\u5e74\u7ea7\u4e0a\u518c\u6570\u5b66\u540c\u6b65\u7ec3\u4e60\u518c\u7b54\u68482021<\/p>\n

\u2605 \u4e5d\u5e74\u7ea7\u6570\u5b66\u540c\u6b65\u7ec3\u4e60\u7b54\u68482021<\/p>\n

\u2605 \u4e5d\u5e74\u7ea7\u6570\u5b66\u540c\u6b65\u7ec3\u4e60\u518c\u7b54\u6848\u5fc5\u5907<\/p>\n

\u2605 \u521d\u4e00\u4e0a\u518c\u6570\u5b66\u540c\u6b65\u7ec3\u4e60\u7b54\u6848\u5927\u5168<\/p>\n

\u2605 \u540c\u6b65\u7ec3\u4e60\u518c\u6570\u5b66\u7b54\u6848\u5fc5\u5907<\/p>\n

\u2605 \u521d\u4e2d\u6570\u5b66\u540c\u6b65\u7ec3\u4e60\u7b54\u6848\u6574\u7406<\/p>\n

\u2605 \u4e5d\u4e0a\u6570\u5b66\u540c\u6b65\u7ec3\u4e60\u4e60\u98982021<\/p>\n

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