题目
nt to King’s School,2 his name, cut with his own hands 3 a window-sill, is still proudly shown today. 4 school he was taught Latin and grammar, and 5 few signs of his future genius. Indeed, he was considered dull until, having been kicked by a bigger boy who was 6 him in class, he 7 the fellow a good beating and set 8 work to beat him in his studies too. We are told, however, that he was very 9 minded and fond 10 making windmills and model machines. This is 11 special interest in view of his experimental skill in later years. 12 still an undergraduate he discovered the Binomial Theorem in algebra. Just after he had 13 his B.A. degree, he did some famous experiments 14 the breaking up of white light into colors, and invented a new branch of mathematics known 15 the calculus. At the age of twenty-six he became 16 professor of mathematics, a post which he 17 until he was fifty-four. During this period his greatest discoveries were 18. In 1696 he became Master of 19 Mint, and gave up his scientific 20. He was knighted by Queen Anne in 1705. In 1729, at the age of eighty-five, he died and was buried in Westminster Abbey.
1.A.When
B.While
C.As
D.For
2.A.when
B.where
C.which
D.what
3.A.upon
B.above
C.over
D.at
4.A.Over
B.With
C.In
D.At
5.A.revealed
B.held
C.showed
D.kept
6.A.over
B.above
C.on
D.of
7.A.hurled
B.Threw
C.sent
D.gave
8.A.to
B.with
C.on
D.for
9.A.mechanical
B.mechanically
C.mechanics
D.mechanic
10.A.on
B.at
C.of
D.in
11.A.of
B.on
C.in
D.with
12.A.What
B.When
C.As
D.While
13.A.taken
B.held
C.kept
D.carried
14.A.for
B.of
C.on
D.at
15.A.for
B.as
C.to
D.before
16.A.one
B.a
C.the
D./
17.A.held
B.taken
C.taken
D.taken
18.A.built
B.produced
C.made
D.did
19.A.a
B.the
C.one
D./
20.A.a
B.the
C.one
D./
第2题
试用Newton插值求经过点(-3,-1),(0,2),(3,-2),(6,10)的三次插值多项式。
第3题
对方程x3-3x-1=0,分别用
(1)Newton法(x0=2);(2)割线法(x0=2,x1=1.9)求其根,精度ε=10-4。
第6题
利用非线性方程组的Newton迭代方法,
(1)解方程组
分别取x(0)=(1.6,1.2),(-1.6,1.2),(-1.6,-1.2),(1.6,-1.2)。要求迭代到||x(k+1)-x(k)||2<1/2x10-5。
(2)解方程组
分别取要求迭代到||x(k+1)-x(k)||2<1/2x10-5为止。
第8题
对方程3χ2-eχ=0使用等步长扫描方法判定该方程有几个实根?并用Newton法求出该方程的全部实根(ε=
×10-5)。
第9题
给出下列函数表.
利用这些数据用Newton差分插值公式求tan1.5695.
(1)直接利用关于tanx的数表进行插值;
(2)利用关于sinx及cosx的数表进行插值,算出sin1.5695与cos1.5695后,再求tanx的相应值.
(3)tanl.5695真值为771.40999.若利用(1)算得的结果与此不相符,解释其原因.
第10题
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