一家银行的信贷部计划年初投入25【精品-】

1、一家银行的信贷部方案年初投入25 000 000元用于企业投资和个人贷款，希望这笔资金至少可带来30 000元的收益，其中从企业贷款中获益12，从个人贷款中获益10，那么，信贷部应该如何分配资金呢？那么：分配资金应该满足的条件为复习：怎么样表示现实生活中存在的一些不等关系？二元一次不等式组创设情境分析假设信贷部用于企业投资的资金为x元，用于个人贷款为y元.回忆：初中一元一次不等式组的解集如何表示?思考：在直角坐标系内，二元一次不等式组的解集又如何表示呢?例如:温故知新探讨：在平面内画一条 直线，这条直线将平面分为几个局部？这几个局部可以用怎样的式子来表示？在平面直角坐标系中，所有的点被直线 分

2、成三类：在直线 上；在直线 的左下方的平面区域内；在直线 的右上方的平面区域内。新知探究-66对于平面上坐标为(3,-3)0,0,(-2,3),(7,0),(1,-6)的点讨论它们分别在直线的什么方位,它们的值分别为什么?(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 为0)在平面直角坐标系中表示直线Ax+By+C=0某一侧所有点组成的平面区域。 2由于对直线同一侧的所有点(x,y)，把它代入Ax+By+C，所得实数的符号都相同，所以只需在此直线的某一侧取一个特殊点(x0,y0) ，从Ax0+By0+C的正负可以判断出Ax+By+

3、C0表示哪一侧的区域。注意：新知探究小诀窍yxAx+By+C=0如果C0,可取(0,0);如果C0,可取(1,0)或(0,1).判断方法：直线定界,特殊点定域归纳提升：O新知探究例4、画出不等式 2x+y-60 表示的平面区域。xyo362x+y-602x+y-6=0平面区域的确定常采用“直线定界，特殊点定域”的方法。解:将直线2x+y-6=0画成虚线将(0,0)代入2x+y-6得0+0-6=-60原点所在一侧为2x+y-60在平面直角坐标系中表示直线Ax+By+C=0某一侧所有点组成的平面区域。 确定步骤： 直线定界，特殊点定域； 假设C0，那么直线定界，原点定域；小结 二元一次不等式Ax+

4、By+C0在平面直角坐标系中表示直线Ax+By+C=0某一侧所有点组成的平面区域。 确定步骤： 直线定界，系数定域； 课堂小结，根据所给图形，把图中的平面区域用不等式表示出来：x-y+10探索提高yox4-2x-y=0y+2=0 x+2y-4=02例6、用不等式组表示由三直线x-y=0;x+2y-4=0及y+2=0所围成的平面区域。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区域 二元一次不等式表示哪个平面 区域的判定方法(系数法、特值法 二元一

5、次不等式组表示平面区域(每 个二元一次不等式表示区域的公共局部) 数学思想：数形结合、化归、分类讨论小结课后思考T2lDW5oH#9sK%cvO)gzS0jCV4nGZ8qJ$buN(fxQ+iBU3mFX6pI!atM&dwP-hAT2kDW5oH#9rK%cvO)gzR0jCV4nGY7qJ$buN(exQ+iBU3mEX6pI!atL&dwP-hAT1kDW5oH#8rK%cvO)gyR0jCV4nFY7qJ$buN*exQ+iBU2lEX6pI!asL&dwP-hAS1kDW5oHZ8rK%cvO)fyR0jCV4mFY7qJ$buM*exQ+iBT2lEX6pI!9sL&dwP-gz

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