��

ʱ�䣺2022-05-14 16:09:21 �� ҪͶ��

��Ʒ��Ļ��ƪ

��ճ��ѧϰ��У��Ҷ��Թ�д��İɣ��Ǿ��˵�˼�뿼�Ǻ��֯��ͨ��һ��ļ��Ϊ��д��ʱ��Ӽ��㣬��С��ķ��6ƪ��ӭ��ҽ��ο��ϣ��Դ��

��Ʒ��Ļ��ƪ

�� ƪ1

��ÿ�λع��磬�Ҷ�Ҫ��һ��ǿ��

��죬��ͺͺ�ģ��ͳ��̳�Ҷ��Ҷ�Ӻ�С��̡�

��죬��ڿ��滨��һ��ޡ��СС�ģ��ƻƵģ��Ϳ��滨��һ��ܽ��ܶ�ĺ��棬��һ��

��ڵ��ˡ��׻�˵�úã��ʮ��Ȧ��ʮ��ϸˡ��ĺ��棬��ֿ��˻��ȫ��ڰ��ʮ��ǰ��ع��ԣ��ֵ��¡��һ�ѡ��ģ��һ�ţ������ǣ��һ��ˮ�˰ɣ��Ǻã��ժ��ʱ��һ��Щ��

��Ҫ��Ҷ��ǿòԾ��ڴ��Ŵ��Ľ��١�

��ÿ�λع��磬��Ҫ��һ��ǿ��Ҫ��ǿ��ˣ��

�� ƪ2

��ȼ�50��

��һ�ȣ�50��41��ȣ�40��31�� ȣ�30��21�� ĵȣ�20��0��

��к�� ƫ��

��ͻ�� ȷ ��Ļ��ȷ ��Ĳ��

��ݳ�ʵ ��ݽϳ�ʵ ��ݵ�� ûʲô��

�� ʵ ��ʵ ��

��ṹ�Ͻ� �ṹ�� ṹ�� ṹ��

�� ͨ˳ ��Ի��ͨ˳ �ﲡ��

��幤�� ּ�� ּ��ʲ� �ּ��ѱ�

��Ҫ�� Ҫ�� Ҫ�� Ҫ��

��չ�ȼ� 20��

�� ḻ ��Ĳ� �д��

��1��͸��뱾�� 4��Ϸḻ 7��ʽ�� 10��ӱ��ʡ��˼��

��2��ʾ�� 5�� 8��޴��ַ� 11��ж��֮��

��3��۵�� 6��⾳��Զ 9��ľ�� 12��и��

��[˵��] 1. ��ȼ��⡢��ݡ��ԡ��Ϊ�ص㣬ȫ��Ҫ��ָ��Ͽ��ѡ��Ҫ�� 2. ��չ�ȼ��֣��12��ֵ㣬��ȫ�棬��һ��ͻ��߰��֣�ֱ��֡� 3. ȱ��Ŀ��2�֣�ÿһ��ֿ�1�֣��ظ��ƣ��5��Ϊֹ��ƪ��2/3��ϣ��ÿ��50��ֿ�1�֡�

��4��ڻ��ǰ��£��ﵽ��Ļ��ȷ��ṹ��Ի��ͨ˳��Ҫ��ģ��Ϊ52��ڴ˻��ϣ�ֻҪ��㣬��Ӧ�ý��ϸ��

��һ��

��1��к��ǰ��£��˵��ء��۵��ͻ��ϻ��ʵ��£��԰�48��52�ֵ��θ��֡�

��2��ڡ��ĳһ��ﵽ�Ϻü��ģ��ֿ��һ��Σ��ơ�

��3��ڽ��ʡ��Ӹ��ʽ��˼��ŵ��£�Ҫ��֡��Щ�ܹ��˼��̡��۷��ݺ��ص��ر��£�Ҫ��ڴ�߷֣�ֱ��֣��Щֻ��ʻ��д��ʽ��˼��԰ס��ƽ��ȱ��ε��£��и߷֣��ֻ�ܰ�һ��±�׼ȥ��ʵ��֡�

��4��ǵ��µ��⣬��Ϊ��͡��ʾ�(��)��£��ˣ��ܲ�ȡ�Ƚ��ӱ�ĽǶ��롰��ϡ��˵��ʾ���ں��뾫��Ϊ��㣬��ϸ��֡�

��5��ڶ��ƫ�ڼ��϶࣬��ˣ��龰��Ϊ��㣬��62��У�ѡȡ�Ƚ��ӱ��и��ԵĲ��۾ݣ��Ǿ��˽�֪�ġ�ͨ��ܹ��֤��Σ��ƽ��չ��е�ظ��ÿһ��ʾһ��С�۵��ݽ��ġ�

��ڼ��

��1��к��ǰ��£��ء��ͻ��ڻ��ļ��£��԰�48��52�ֵ��θ��֡�

��2��ڱ��ڵ�ĳһ��ﵽ�Ϻü��ģ��ֿ��һ��Σ��ơ��ĳ��ﵽ��㼶��ģ��߹�˼��ɣ��⾳��Զ��ߺ��и��ԣ��Ժܼ��԰�63��ϸ��֣��Ŀ��Դﵽ70�֡�

��3��ڡ��ˮ׼��µ��£�ҲӦ����⡢��ĳһ��ڽϲ�ļ��ģ��¸��ĳһ��ںܲ��ģ��Ӧ��42��¸��

��Ա���ڵ��ײ�ε��£��߸��Ҳ��ܳ��35�֡�

��4��ͨƪ��»��£��Ϊ��ű߼ʵ��´��24��£��޷��ж��ύ�鳤��ר��鴦��

��5��ǵ��¹��ڼ�ȱ��ں��Ӧ��ص��·��棺�л��ǵĹ�˼����עĿ�ġ��¡��бȽ�Ũ��Ϣ��˼��ġ��ζ��£��Դ�63��ϸ��֡�

��ע��

��1��ϣ��÷��ֵ��ַ��Ҳ��˵��ľ��ʱҪ��⡢��ݡ��ԡ��ȼ��ͷ�չ�ȼ��ȫ�濼�ǣ��ύ��һ��ֵ��

��2��ע��ʶ��£��۵��ֱ��볬��2��3��£��ֱ��볬��2��3��Ϊ��岻��ʵ��¸��

��3��д��ģ�ֻҪ��ʫ�裬��֡�Υ��Ҫ��д��ʫ��ģ��޲��ó��5�֡�

��4��ƪ��㣬��֮��ٿ��֡�ÿ��50�ֿ�1�֣��3��Ϊֹ��δ��ƪ��£��߲��35�֡�δ��ƪ��£��ٿ��֡�

��5��ÿ3��ֿ�1�֣��ظ��ƣ��5��Ϊֹ��

��6��ἰ�ĵ��Σ�ͨ��Ϊ3�֡�

��7��ȷ�ϳ�Ϯ��˲�2��3��ѷ��Ʒ��ͬ��߲��5�֡�

��8��׻��ԡ��ں��׵��ԡ�ȱ��Ʒλ��Ӧ��¡��ζ��Ļ��̵��¸��Ӧ��ϸ��˵��

��¼��Ҫ��ر��ע��

��൱��ɵĹ�˼��ʵ��˵��£��ĸ��ص㣻��Զ��⾳��൱��Ա��ǻۡ�

��¼��Ҫ��ر��ע��

��нϸߵ��⣻��ѡȡ�Ƚ��ӱ��и��ԵĲ��Ϊ��ʵ�۾ݣ��֤�в�θС��У��߼��Ժ��Ļ��̡�

�� ƪ3

��찡��ֵá��ء��޾��ɵ�˵��ɣ��Դ��꼶��Ƶ��¥��ÿ��ȥ�ͷ�ѧ��ú��塢��꼶��.��һ��¥�ݣ��Ⱥ��ּ��£��Ҽ��Ҵ��ˡ��ɲ��ҵ��ǣ��Ⱥ��̫��ˣ��ⲻ��ÿ��ȥ�ͷ�ѧ��Ҫ��ء��

��డ��㲥��ٵ��ʾ��źöӣ��ա��̡��塢��꼶��ͬѧ��ǵ��һ��ײ��վ�ĵض��ѣ�Ҫ��Ҿͳ��еĳ�Ա�ˡ��ְ��Ⱥ�Ĳ��ӣ��ֱ��ˡ�Ů��ѡ��ɹ��Ŀ�ĵبD�D��ٵ�λ�á��һ��ٹػ��ģ��Ҫ��¥��һ��ġ��ͣ�ˣ��ˣ��Ҫ��˵ġ��ٹء��Ҹ��ϵ�һ��¥�ݣ�վ��Ĵ��Ӷ��һ�£��ұ��̤��һ��¥�ݣ��һ��ְ��һ�ƣ��ֱ��Ϊ��û��أ��ֱ��Σ��ҿ�ʼС��ˣ��ߵ��ڶ��ʱ��ȴ��߻��һ��ˣ��ְ��һ��Ҹ�ǽ��˸��ܽӴ��òҰ��ò��׵��˽��ң��ƨ�ɻ�û��ȣ��Ͽ��ˣ��ļƻ��ˡ�

��ѧ��ˣ��ҿ��Իؼҿ��ˣ��ٶȣ��ܵ�һ��ŵ㣬�ۿ��ž�Ҫ��ˣ�˭֪һ��ǰ��׼��׼��ʱ��վ��Ƕ��ֱ��Ⱥ��ȥ�˺ü��ҷǳ��Ȼ��Ƕ��ң��ֻ�ܡ�ɱ��ȥ�ˣ��ҡ��ɡ��˳�ȥ��ʱ��ǳ��ȣ��ҵ�Ь��ȵ��ں��ںڵģ�ͷ��ɢ�ˣ��ϵĽ�ӡ��塭��

��죬�һ�Ҫ��ս��ء��

�� ƪ4

��ķ��ѽ��ְ�˵��

��ķ��ѽ��Ҳ˵��

��ҷ��ֹδ�磬��Ĵ��ž��ߣ��紵��߶��߲��ְ��˵��

��Ͻְ��˵��£��ص��칫��ո��ȣ��صķ��һ��ǰ��ǿ��ͩ��˾��Ƶ�ǰҡ��Σ��ᡣ��أ��һƬ��ϵ��˷·�һ��ӱ��ε��һ��ȥ�ˡ��뺲��ѧ��ʱ��ô��ء��˵��

��Ǵ�ѽ��ǵ��ڿε�ʱ�Ϳ��˹η硣��ǰ��һ��С��ֱ��ˡ�һ��ϴ��ܸߺܸߵ��С��ѧ��ʱ��ɳһ��ϴ������ꡣ�Һ�ͬѧ��ֻ��ú��ס��ʱ��һ��Ƭ��ֿ��Խ��Ǻ��š��Ҳ��ʾ��

��˵�ţ��ӻ�Ҳ��֣��Ԥ��İ��˵��죬�ö�ط��ɳ��ʯ��ׯ��һЩ��˾�Ȼ��ϴ��סͷ��·��

��ķ��ѽ��

�� ƪ5

��Φ��Ϊ��˶��֡�

��¹�һ��꣬��ձ��ˢ��һ��Ⱦ��һ��͸��Ʋ㣬ֱֱ��£��ժ��ʺ��ݮ��ĺ�ƣ��˵ķ��㡣��л��ζ��㣬��ŵģ��һ˿�峺�Ļ��ķҷ��Φ�ӿ��ˣ�

��һ��ī�̵�Ļ��ϣ�մ�ų�ʪ��ˮ��һ��Φ��Ȼ��ϣ��Ű�ɫ�İ��ȹ��ŵ��ڷ��衣��һλ��ˣ�

��վ�ţ��һ��ɵļ��ס��Щ��䡣��ϵ��ǹ��֣�ȴ��ɫ��Ⱦ��Եó��ǲ��һ��֦ͷ��ƫ��е��䵽����˯�ˡ��ۣ��Φ�ӣ��Ҹ��ο��ӡ��һ�京�ߵ�Φ�ӣ��̵��İ׷��ϣ��ˡ�

��Φ�ӣ�һ��һ�ҵذݷã��Ҫ��Φ��ͳ�ȥ��Щ�ϸ��ˣ�ʮ�ֻ�ӭ��ĵ��ó��Φ�ӣ��ϣ��ü��˼��䣬��ĵ��ˡ��͵��ӰԽ��ԽԶ��µļ��Φ��ɢ��ζȴ��Ũ��

��Ų�Ь��̤ʵ��ϣ��ĺá��Ż�ȹ�ӵ�СŮ��߹��Ŀ�ⲻס��ͣ��Φ��ϡ��ǵ��˼��ԥ�ش��䣬�͸��ǡ�Ů��Ǻ��ߵغ��˼��䡰лл��Ǽ��Φ��ܿ��ˣ��ȹ�ӷ��š��Ҳ��Σ�¶��ЩЦ�⡣ֱ��Ǽ��Ů��Ӱ��Զ��ʧ��ӻؼ��ˡ�

��һ·�ϣ��ɢ��Φ�ӵ��㣬��Ȼ��һ�У��ƺ��л��ĵط��ļҡ�

��Ǵ�Φ��ϵĻ��䱻ժ��ˡ��վ�ţ��ᶣ�̣��ɣ��һ�Ҫȥ�ͻ��أ�

��ǵ��ͷ��С��Щ֦��ڸ��Լ��ĺ��ӡ�

��ȷʵ��ˣ��Φ��Ϊ��˶��֡��ͳ��ǻ��䣬��ȴ�ǿ��֡�

�� ƪ6

��ڴ�ǰ��ʱ��Ҫ��ʯͷ��һ��ѣ��Ŀ�Ĳ��Ƿ�ֹС��ܣ��Ƿ�ֹС��챻��

��һ�죬��һֻ��۵����úܶ�ʯͷ��һ��ů��ѣ��һ��ʵļҡ��ʱ��ƤƤ��ˣ�ƤƤ��˵��û��ҵ��ʯͷ��͸��һ��ɣ��ò��ô��ʯͷ��룺Ҫ��Ҹ��һ��ʯͷ��ҵĺ��Ӿͻᱻ��ġ��һ��ӣ��ػ��ɵѽ��ɵ�أ��Ҹ��ʯͷ��ѵ��ҵĺ��ӾͶ�Ƥ��˯��

��ˣ��һ�飬һ��

��У��Ŷ�û�У��

��ƤƤֻ��߿��ˡ�

��ƤƤ��ĺ��Ӷ��ˡ��Ǳ��ƺƵ��뺣��Ϊ��ǵĺ��Ѱ��ʳ�

��ƤƤ��ͬʱ�ϰ��ƤƤ�ܿ��Լ��ĺ��ι��ʳ��׼��һ��º��˭֪��Ҳ��Լ��ļ��ˡ��ƤƤ��У��ļ��Ҳ��ˡ��Ƕ��ã��˵��ļ��ǣ��Ȼ��һ��ߵ��ſڡ��ܸм�ƤƤ��˼��ʯͷ�͸�ƤƤ��˵��Ժ��Ҫ��Ǻø��ǣ��

��ƤƤ��Ҳ�ܼ��Ǿͺ��Ϊ��ֵܡ�

��ǰ��һ�ݿ��֣��˷��ͳ��ݿ��֣�һ��ʹ�࣬��˷��ֻҪ�е�һ�롣��ǻ��һ��ֳɳ��

��Ʒ��Ļ��ƪ��£�