The point P(7,-4)lies on the curve y=4/(6-x)
The point P(7,-4)lies on the curve y=4/(6-x)
(a) If Q is the point(x,4/6-x),use your calculator to find the slope
mPQ of the secant line PQ (correct to six decimal places) for the following values of x.
(1) 6.9 mPQ=?
(2) 6.99 mPQ=?
(3) 6.999 mPQ=?
(4) 6.9999 mPQ=?
(5) 7.1 mPQ=?
(6) 7.01 mPQ=?
(7) 7.001 mPQ=?
(8) 7.0001 mPQ=?
(b) Using the results of part (a),guess the value of the slope m of the tangent line to the curve at P(7,-4),m=?
(c) Using the slope from part (b),find an equation of the tangent line to the curve at P(7,-4)
a):
题目的意思是求割先PQ的斜率,P点坐标已知,Q点坐标取不同的给定值,P,Q都在双曲线上.
b):由1--8的过程猜测P点的切线斜率；
c):由b,写出P点的斜率公式.
教材中的内容,不难,你自己慢慢算一下.按步骤来.要答案或解答过程，不要翻译啦你英语可能还行， 数学一定是一塌糊涂， 加油啊。我手头连纸和笔以及计算器什么都没有啊，要不怎么让别人算啊别急。 最恨别人说你不行， 是吧？ 过程方法思路最重要，结果在这里倒是其次。我是真没辙了，就一台电脑在跟前，我这些题还全得在网上做，没演算纸没笔没计算器我怎么算！
| a | Yp | Xp | Yq=4/(6-Xq) | Xq | m=(Yp-Yq)/(Xp-Xq) |
| 1 | -4 | 7 | -4.444444444 | 6.9 | 4.444444 |
| 2 | -4 | 7 | -4.04040404 | 6.99 | 4.040404 |
| 3 | -4 | 7 | -4.004004004 | 6.999 | 4.004004 |
| 4 | -4 | 7 | -4.00040004 | 6.9999 | 4.000400 |
| 5 | -4 | 7 | -3.636363636 | 7.1 | 3.636364 |
| 6 | -4 | 7 | -3.96039604 | 7.01 | 3.960396 |
| 7 | -4 | 7 | -3.996003996 | 7.001 | 3.996004 |
| 8 | -4 | 7 | -3.99960004 | 7.0001 | 3.999600 |
| b) | m=4 |
电脑最好了， 用Excel.