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《算法的含义与流程图》测试1

《算法的含义与流程图》测试1
《算法的含义与流程图》测试1

《算法的含义与流程图》测试1

1.下面的结论正确的是()

A.一个程序的算法步骤是可逆的B、一个算法能够无止境地运算下去的

C、完成一件情况的算法有且只有一种

D、设运算法要本着简单方便的原则

2、早上从起床到出门需要洗脸刷牙(5 min)、刷水壶(2 min)、烧水(8 min)、泡面

(3 min)、吃饭(10 min)、听广播(8 min)几个步骤、从下列选项中选最好的一种

算法 ( )

A、S1 洗脸刷牙、S2刷水壶、S3 烧水、S4 泡面、S5 吃饭、S6 听广播

B、S1刷水壶、S2烧水同时洗脸刷牙、S3泡面、S4吃饭、S5 听广播

C、S1刷水壶、S2烧水同时洗脸刷牙、S3泡面、S4吃饭同时听广播

D、S1吃饭同时听广播、S2泡面、S3烧水同时洗脸刷牙、S4刷水壶

3、闻名数学家华罗庚“烧水泡茶的两个算法、

算法一:

算法二:

这两个算法的区不在哪里?哪个算法更高效?什么缘故?

4、写出求 1+2+3+4+5+6……+100 的一个算法。可运用公式 1+2+3+……+ n=

2)1

(

n

n

直截了当运算、

5、已知一个学生的语文成绩为89,数学成绩为96,外语成绩为99。求他的总分和平均成绩的一个算法为:

第二步①;

第三步②

6、“鸡兔同笼“是我国隋朝时期的数学著作《孙子算经》中的一个有味而具有深远阻碍的题目:

“今有雉兔同笼,上有三十五头,下有九十四足,咨询雉兔各几何。

用方程组的思想不难解决这一咨询题,请你设计一个这类咨询题的通用算法。

7、已知直角坐标系的两点A(-1,0),B(3,2),写出直线AB的方程的一个算法。

8.写出交换两个大小相同的杯子中的液体(A 水、 B 酒) 的两个算法。

9. 写出1×2×3×4×5×6的一个算法。

10. 已知一个三角形的三边边长分不为2、3、4, 设计一个算法,求也它的面积。

( B) 流程图

1、 算法的三种差不多结构是 ( )

A 、 顺序结构、 选择结构、循环结构

B 、顺序结构、流程结构、循环结构

C 、 顺序结构、 分支结构、流程结构、

D 、流程结构、循环结构、分支结构

2、 流程图中表示判定框的是 ( )

A . 矩形框

B 、菱形框

C 、 圆形框

D 、椭圆形框

3、 下面是求解一元二次方程)0(02≠=++a c bx ax 的流程图,请在空和缺的地点填上适当的标注。

4、下面流图表示了什么样的算法?

5、下面流程图是当型循环依旧直到型循环?它表示是一个什么样的算法?

6、已知梯形的上底、下底和高分不为5、8、9,写出求梯形的面积的算法,画现流程图。

7. 设运算法流程图,输出2000以内除以剩1的正整数。

8.某学生五门功课成绩为80、95、78、87、65。写出求平均成绩的算法,画出流程图。

9.假设超市购物标价不超过100时按九折付款,如标价超过100元,则超过部分按七折收费,写出超市收费的算法,并画出流程图。

10、写出求1×3×5×7×9×11的算法,并画出流程图。

11、《中华人民共和国个人所得税法》规定,公民月工资,薪金所得不超过800元的部分不必纳税,超过800元的部分为全月应纳税所得额,此项税款按下表分段累进

试写出工资x (x 5000 元)与税收 y的函数关系式,给出运算应纳税所得额的算法和流程图。

12、根椐下面的算法画出相应的流程图。

算法: S1 T 0 S2 I 2 S3 T T+I S4 I I+2 S5 假如I不大于200,转S3

S6 输出T,终止

13、一个三位数,各位数字互不相同,十位数字比个位,百位数字之和还要大,且十位、百位数字不是素数,设运算法,找出所有符合条件的三位数,要求画出流程图

14. 已知算法:①指出其功能(用算式表示)。②将该算法用流程图描述之。

S1、 输入 X S2 、 若X<0,执行 S3. 否则执行S6

S3 、 Y X+1;

S4、输出 Y

S5、 终止

S6、 若X=0 ,执行S7;否则执行S10;

S7 Y 0

S8 输出Y

S9 终止

S10 Y X

S11 输出Y

S12 终止

15、下面流程图表示了一个什么样的算法?试用当型循环写出它的算法及流程图

A 、 组 算法的含义

7、解析; 能够运用公式 1

21121x x x x y y y y --=--直截了当求解。 第二步 代入公式 1

21121x x x x y y y y --=--得直线AB 的方程 第三步 输出AB 的方程

8、解析算法1

1、找一个大小与A相同的空杯子C

2、将A 中的水倒入C中

3、将B中的酒精倒入A中

4、将C中的水倒入B中,终止。

算法2

1、再找两个空杯子C和D

2、将A中的水倒入C 中,将B中的酒倒入D中;

3、将C中的水倒入B中,将D中的酒倒入A 中,终止

注意:一个算法往往具有代表性,能解决一类咨询题,如,例一能够引申为:交换两个变量的值。

9、解析按照逐一相乘的程序进行

第三步将第二步中的运算结果6与4相乘,得到24

10、解析可利用公式

S=求解,

)

)(

)(

(c

p

b

p

a

p

p-

-

-

第二步运算

2c

b

a

p +

+

=

第三步运算三角形的面积S=,

)

)(

)(

(c

p

b

p

a

p

p-

-

-

B组流程图

1、A

2、 B

3、⑴△

a

b

x

2

2

?

-

-

←⑶输出

2

1

,x

x

4

5的算法。

6、解算法如下

S1 a 5

S2 b 8

S3 h 9

S4 S (a+b)×h/2;

S5 输出S

流程图如下

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