双曲线的渐近线教案.docx

1、双曲线的渐近线教案双曲线的渐近线教案教学目的 (1)正确理解双曲线的渐近线的定义，能利用双曲线的渐近线来画双曲线的图形( (2)掌握由双曲线求其渐近线和由渐近线求双曲线的方法，并能作初步的应用，从而提高分析问题和解决问题的能力( 教学过程 一、揭示课题 师:给出双曲线的方程，我们能把双曲线画出来吗, 生(众):能画出来( 师:能画得比较精确点吗, (学生默然() 其附近的点，比较精确地画出来(但双曲线向何处伸展就不很清楚了(在画其他曲线时，也有同样的问题(如曲线 我们可以比较精确地画出整个曲线(因为我们知道，当曲线伸向远处时，它逐渐地越 of leadership, along with 50

2、0-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusio

3、n welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical

4、 specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/

5、T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel we

6、lded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation en

7、gineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot 的趋向，我们是清楚的，它逐渐地在x轴负方向上越来越接近x轴，即x轴为y,2x的一条渐近线，但它的另一端则不然，它伸向何处是不够清楚的(所以双曲线和其他曲线一样，当它向远处伸展时，

8、它的趋向如何，是需要研究的问题(今天这堂课，我们就来讨论一下“双曲线向何处去”这样一个问题( (板书课题:双曲线的渐近线() 二、讲述定义 师:前一课我们讨论了双曲线的范围、对称性和顶点，我们回忆一下，双曲线的范围x?,a，x?a是怎样得出来的, 直线x,a和x,a的外侧(我们能不能把双曲线的范围再缩小一点,我们先看看双曲线在第一象限的情况( 设M(x，y)是双曲线上在第一象限内的点，则 考察一下y变化的范围: 222 因为x,a,x，所以 这个不等式意味着什么, (稍停，学生思考() of leadership, along with 500-1000 punishment. (5) sig

9、nificant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, weld

10、ing engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding

11、 of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure

12、vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure

13、vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction sta

14、ndard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot 平面区域( 之间(含x轴部分)(这样，我们就进一步缩小了双曲线所在区域的范围( 为此，我们考虑下列问题: 经过A、A作y轴的平行线x,?a，经过B、B作x轴的平行线y2121,?b， 以看出，双曲线 的各支向外延伸时，与这两条直线

15、逐渐接近( of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial

16、number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of fie

17、ld equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures

18、of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of

19、oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201

20、-2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot 下面，我们来证明这个事实( 双曲线在第一象限内的方程可写成 设M(x，y)是它上面的点，N(x，Y)是直线 上

21、与M有相同横坐标的点，则 设|MQ|是点M到直线 的距离，则|MQ|,|MN|(当x逐渐增大时，|MN|逐渐减小，x无限增大，|MN|接近于零，|MQ|也接近于零，就是说，双曲线在第一象限的部分从射线ON的下方逐渐接近于射线ON( 在其他象限内也可以证明类似的情况(我们把两条直线 叫做双曲线的渐近线( of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and constru

22、ction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of

23、ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochem

24、ical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installati

25、on engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptanc

26、e specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylinders, ille

27、gal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot 现在来看看实轴在y轴上的双曲线的渐近线方程是怎样的,由于实轴在y轴上的双曲线方程是由实轴在x轴上的双曲线方程，将x、y字母对调所得到，自然，前者 这样，我们就完满地解决了画双曲线远处趋向的问题，从而可比较精确地画出双 手画出比较精确的双曲线( 提出问题，解决问题，善始善终( 三、初步练习 (根据由双曲线求出它的渐近线方程与由渐近线求出相应的双曲线方程这两要求，出四个小题让学生练习() 1(求下列双曲线的渐近线方程(

28、写成直线方程的一般式)，并画出双曲线: of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifica

29、tions, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acc

30、eptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel weldi

31、ng procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and

32、acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yua