一家銀行的信貸部計劃年初投入25【精品-】

1、一家銀行的信貸部方案年初投入25 000 000元用于企業(yè)投資和個人貸款，希望這筆資金至少可帶來30 000元的收益，其中從企業(yè)貸款中獲益12，從個人貸款中獲益10，那么，信貸部應該如何分配資金呢？那么：分配資金應該滿足的條件為復習：怎么樣表示現(xiàn)實生活中存在的一些不等關系？二元一次不等式組創(chuàng)設情境分析假設信貸部用于企業(yè)投資的資金為x元，用于個人貸款為y元.回憶：初中一元一次不等式組的解集如何表示?思考：在直角坐標系內(nèi)，二元一次不等式組的解集又如何表示呢?例如:溫故知新探討：在平面內(nèi)畫一條 直線，這條直線將平面分為幾個局部？這幾個局部可以用怎樣的式子來表示？在平面直角坐標系中，所有的點被直線 分

2、成三類：在直線 上；在直線 的左下方的平面區(qū)域內(nèi)；在直線 的右上方的平面區(qū)域內(nèi)。新知探究-66對于平面上坐標為(3,-3)0,0,(-2,3),(7,0),(1,-6)的點討論它們分別在直線的什么方位,它們的值分別為什么?(7,0)(3,-3)(-2,3)(1,-6)0,0新知探究xy 1二元一次不等式Ax+By+C0(A,B不全 為0)在平面直角坐標系中表示直線Ax+By+C=0某一側(cè)所有點組成的平面區(qū)域。 2由于對直線同一側(cè)的所有點(x,y)，把它代入Ax+By+C，所得實數(shù)的符號都相同，所以只需在此直線的某一側(cè)取一個特殊點(x0,y0) ，從Ax0+By0+C的正負可以判斷出Ax+By+

3、C0表示哪一側(cè)的區(qū)域。注意：新知探究小訣竅yxAx+By+C=0如果C0,可取(0,0);如果C0,可取(1,0)或(0,1).判斷方法：直線定界,特殊點定域歸納提升：O新知探究例4、畫出不等式 2x+y-60 表示的平面區(qū)域。xyo362x+y-602x+y-6=0平面區(qū)域的確定常采用“直線定界，特殊點定域”的方法。解:將直線2x+y-6=0畫成虛線將(0,0)代入2x+y-6得0+0-6=-60原點所在一側(cè)為2x+y-60在平面直角坐標系中表示直線Ax+By+C=0某一側(cè)所有點組成的平面區(qū)域。 確定步驟： 直線定界，特殊點定域； 假設C0，那么直線定界，原點定域；小結 二元一次不等式Ax+

4、By+C0在平面直角坐標系中表示直線Ax+By+C=0某一側(cè)所有點組成的平面區(qū)域。 確定步驟： 直線定界，系數(shù)定域； 課堂小結，根據(jù)所給圖形，把圖中的平面區(qū)域用不等式表示出來：x-y+10探索提高yox4-2x-y=0y+2=0 x+2y-4=02例6、用不等式組表示由三直線x-y=0;x+2y-4=0及y+2=0所圍成的平面區(qū)域。探索提高xy0 x-y=0 x+y=0 x+y=0 xy0 x-y=0 xy0 x-y=0 x+y=00 xyx-y=0 x+y=0(A)(B)(C)(D)(A)探索提高 二元一次不等式表示平面區(qū)域 二元一次不等式表示哪個平面 區(qū)域的判定方法(系數(shù)法、特值法 二元一

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