2020届重庆市沙坪坝区南开中学校高?1月月考数??试题(解析? - 百度文库 ر

ҪеۺӦãǵȱеͨʽù취еͨʽеĵԵжɣڳ.

13֪y?x3?axx?1ֱy?2x?1ƽУaֵΪ___________ 𰸡?1

ȶԺ󵼣õy??3x?aбʣг̣. ⡿

32y?x?axy??3x?a

3y?x?axx?1бΪk?y?2x?1?3?a

ֱy?2x?1ƽУ 3?a?2a??1. ʴΪ?1 㾦

Ҫߵбǵļ弴ɣڳ. 14֪f?x??Asin??x???A?0??0???????IJͼͼʾ??______________

𰸡

2? 3ͼõA?2T?2?2?1?8?2??????4???õ?3?2?32??2???1?f?x??2sin?x???ͼ?,0?õ???2k?,k?Z

3?2??3? 9 ҳ 20 ҳ

. ⡿

ͼɵãA?2T?2?2??8?2??????4? ?3??31?1?fx?2sin?????x???

2?2?ͼ??2???12?????????0sin?????0 ,0?2sin???23??3??3?ͼɵã

?3?????2k?,k?Z??2?. 32??2k?,k?Z 3?????????ʴΪ㾦

2? 3ҪǺͼ⣬Ǻͼʼɣڳ.

???ϵʵkȡֵΧ15֪f?x??2e??1?k?x?0x2__________

e?1? 𰸡???ȶԺf?x?󵼣õf??x??2e?2?1?k?xõ

xxef??x??2e?2?1?k?x?0?0???Ϻk?1??0???Ϻ

xxexg(x)?x?0󵼣õķСֵɵó.

x⡿

f?x??2e??1?k?xf??x??2e?2?1?k?x

x2x???ϵ ֺf?x??2e??1?k?x?0x2???Ϻ f??x??2e?2?1?k?x?0?0xex???Ϻ k?1??0x 10 ҳ 20 ҳ

exexx?exex(x?1)g(x)?x?0g?(x)? ?22xxxg?(x)?0x?1g?(x)?00?x?1

exԺg(x)?(0,1)ϵݼ(1,??)ϵ

xg(x)min?g(1)?eg(x)?g(1)min?e k?1?ek?e?1.

e?1? ʴΪ???㾦

Ҫɺڸϵĵ⣬ǵķֵɣڳ.

rr2216֪ƽab㣺a?b?2a?b2b?3b?c?c?02a?cֵ__________ 𰸡6

⣬OA?aOB?bOAΪxᣬOBΪyᣬƽֱϵõa?(2,0)b?(0,2)c?OC?(x,y)⣬õx?(y?3)?1C(x,y)N(0,3)ΪԲģ1Ϊ뾶Բ˶

222a?c?(x?4)2?y2ʾC(x,y)붨M(?4,0)֮ľ룬ݵԲ

λùϵ. ⡿

rrΪa?b?2a?b

OA?aOB?bOAΪxᣬOBΪyᣬƽֱϵa?(2,0)b?(0,2)c?OC?(x,y)

2b?3b?c?c?0ɵ8?6y?x?y?0x?(y?3)?1 cӦĵC(x,y)N(0,3)ΪԲģ1Ϊ뾶Բ˶ 2a?c?CM222222(x?4)2?y2ʾC(x,y)붨M(?4,0)֮ľ룬

max?MN?1?16?9?1?6.

11 ҳ 20 ҳ

ʴΪ6

Ҫģֵýϵķ㷨Լģļ弴⣬ڳ.

17֪Ϊ0ĵȲ?an?ǰnΪSna2a4a7ɵȱУ

S5?50

1an

?1?2??ǰnͣ

?anan?1?𰸡1an?2n?42

n.

12?n?3? 1ȲеĹΪd⣬빫ɵóͨ

11?2ɣ1Ľõanan?1?2n?4??2n?6?. ⡿

1ȲеĹΪd

֪a4?a2a7?a4??a4?2d??a4?3d??da4?6d

222d?0a4?6d S5?5a3?50?a3?10 d?2a1?6an?2n?4

12 ҳ 20 ҳ