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吉林省白城市洮南市第一中学2019-2020学年高一下学期第三次月考数学试卷
吉林 高一 月考 2020-09-16 30次

一、单选题添加题型下试题

1. 不等式eqIdd9d367ad7a174a2bac33e49ee64c56c6 的解集为(   )
A.[-1,+ eqId4bc850b13ff945369ba0e7c7b64c890fB.[-1,0)C.( - eqId4976a3f7122043c4ac3fdc5d2e1f2011 ,-1]D.(- eqId4976a3f7122043c4ac3fdc5d2e1f2011 ,-1] eqId65b526d477654079ab149f7ce82970eb  (0 ,+ eqId4bc850b13ff945369ba0e7c7b64c890f
典型
2. 在一座50m高的观测台台顶测得对面一水塔塔顶仰角为60°,塔底俯角为45°,那么这座塔的高为(   )
A.eqId7c6c69449c584956bfbc8384888a2be2B.eqId34e2f48c3e0f4bf59516cf03bdcfbb51
C.eqId5aa0f05a61a24c7ab349d11c9cc93a90D.eqId6d8e0a6cec3844d0a0ddb73fdc560beb
4. 如图阴影部分用二元一次不等式组表示为(   )
说明: figure
A.eqId58d55839095d4a6c93af777601c7b0b4B.eqId39d87060d8c14582a7546e92441f05e7
C.eqIdaf8e6b747f344ace843ab445f778147aD.eqIdff8f0ea1da0643e4ae1b6ef1c1056867
5. 在等差数列eqId93e38ecd74a24cb59da79181b95bfd3a中,若eqId2f6ddf6d62e844be8daa77e37c0583bb,则公差eqIdc5296e5449da414e9242fd4f9e0a4a58(         )
A.1B.2C.3D.4
6. 直线eqId8d9020bc871d4dd1b539cf36b357343c的倾斜角为(   )
A.eqId737f592b68b747fcaccedaedb026b348B.eqId71dab503f7b140f0a2bdd598d1f21f8eC.eqId5ad58f952a4542f689f5ee8aa9946f25D.eqId1a06b2701ed24e619837f7dc479f5e9d
7. 在eqId64b9b599fdb6481e9f8d9a94c102300b中,已知eqId667b6e90a0944cc490fd2a791893e1b7,则eqId64b9b599fdb6481e9f8d9a94c102300b一定为(   )
A.正三角形B.等腰三角形C.直角三角形D.钝角三角形
8. 直线eqId26e3a9feca8749738f63e223d121b8c9eqId3e34cde7ded64f8e9eaf5d26b8ea6316互相垂直,则eqId70a27b6ddf6b478285353abb3b1f3741的值是(   ).
A.-0.25B.1C.-1D.1或-1
9. 记eqIddb5481de79c946c0a760143297d5eade为数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和.若点eqId483a0bdfbe9a4efda5d15aa6a74d129e,在直线eqId24ab6602357f4f629126b8609a03a081上,则eqId8ec03aa6ba3a4f569cc10f4a0c2e849b(         )
A.eqId0c34b200ff98472c81a84cd8f0116762B.eqIdd084251cd37c457789e92e4701f05468C.eqId8c3448a12dda4a60a61e6acda06c80dfD.eqIdd24972de4be04c40850b766e30a8d020
11. 已知点eqId25b63077c8ca4563ba82dfd04ed69343在直线eqId541975b9199948cb913b0c4615fb0bb3上,若存在满足该条件的ab使得不等式eqIdbfdad74ba8fb414aaab6c0d28bb404a4成立,则实数m的取值范围是(   ).
A.eqIde5a851f376ab4f03888c18de456928a4B.eqIdb039febd610d46628ff90d4dd524f330
C.eqIdcc0f84d7b24246c2b1437b0d6a6d4e6cD.eqIdd339e00cafb14129808b40c8e6c6030a
同步
12. 在△ABC中,eqId2e37cf7454184861989b8989980a7e9feqId513b964714c8461baad486d3ad4ead9c,则△ABC的两边长度之和AC+AB的取值范围是(   )
A.eqId7be0acc3ff744c97bae16e6951532625B.eqId8174c1a4f332435182b76e9eca5dadb1C.eqId9e59e29c5d014675aa334e1b8fd96bb7D.eqId7c1b56bfb451478299c3db0160933311

二、填空题添加题型下试题

同步
13. 已知eqIdaea992e70d4943e49e893817eb885ed7克糖水中有eqId70a27b6ddf6b478285353abb3b1f3741克糖(eqId5c80b67890fa491b8716ae7f5d992219)若再添上eqIda4be99d332154d13a4a6ed1ff6444fe7克糖(eqId6a13e7b7d92849eba6c91758c54a673f),则糖水就变甜了试根据此事实提炼一个不等式当eqId5c80b67890fa491b8716ae7f5d992219eqId6a13e7b7d92849eba6c91758c54a673f时,________.

三、解答题添加题型下试题

17. 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a,满足eqId032284ef281340a78dbf643944ff8cd4eqId4ac7aa18e4bd459cba989dfe812d750f.
(1)证明:数列eqId88ef23c03cc5404f9ddfcd092ce5ed85为等差数列.
(2)求eqIdef9cef8e6d054d8dac46b8cde14953ad.
20. 已知直线eqId417e80f1349244878d01fe90e0891f5feqId40122d16de1548a78635bc4ccd3ccfc3 (eqId4304619a9e2147ae84a1c07d4fe87d6b).
(1)证明:直线eqId417e80f1349244878d01fe90e0891f5f过定点;
(2)若直线eqId417e80f1349244878d01fe90e0891f5feqIda9cd3f94eb8045438f75e9daccfa7200轴负半轴于eqIdcc614bd3390c4d028df189b234dcc351,交eqId072d7d6b911b42bc89207e72515ebf5f轴正半轴于eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId1f2c5e471a914c07a2d38f323c89d3cb的面积为eqId1b7d8b87b50e4cfdbf89d48980209a52(eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点),求eqId1b7d8b87b50e4cfdbf89d48980209a52的最小值并求此时直线eqId417e80f1349244878d01fe90e0891f5f的方程.
21. 2020年初,新冠肺炎疫情袭击全国,对人民生命安全和生产生活造成严重影响.在党和政府强有力的抗疫领导下,我国控制住疫情后,一方面防止境外疫情输入,另一方面逐步复工复产,减轻经济下降对企业和民众带来的损失.为降低疫情影响,某厂家拟在2020年举行某产品的促销活动,经调查测算,该产品的年销售量(即该厂的年产量)eqIda9cd3f94eb8045438f75e9daccfa7200万件与年促销费用eqIda4be99d332154d13a4a6ed1ff6444fe7万元(eqId810aeda4de73403c82c85d69dbc1cb18)满足eqIdf0a815f0d41246a2bea2b650d22301f3eqId4d2187284c5d4de29906363f7d21f60f为常数),如果不搞促销活动,则该产品的年销售量只能是2万件.已知生产该产品的固定投入为8万元,每生产一万件该产品需要再投入16万元,厂家将每件产品的销售价格定为每件产品年平均成本的1.5倍(此处每件产品年平均成本按eqIda13ca33e9a4340b5863b82b774a9d4d4元来计算)
(1)将2020年该产品的利润eqId072d7d6b911b42bc89207e72515ebf5f万元表示为年促销费用eqIda4be99d332154d13a4a6ed1ff6444fe7万元的函数;
(2)该厂家2020年的促销费用投入多少万元时,厂家的利润最大?
22. 已知等比数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqIdb51cc9bb5d854fa8b8d01f7ef30c912ceqIdb71989fb81a64dde882c3a5b8b0e496d,且eqId0509add794484602a2c710f41d9ddddceqIda306582c8bee49718103e13cc7c6b599eqId310274b5ffe34ad58a069683d0dac787为等差数列.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)若eqId7c01f88c29544b7ebb7ee4b1171a5740eqIdca017313522a4be2b62aaa7021a0a6db,对任意正整数eqIdf458db68122849abb588feb2e682d9aceqId4884552491e045f3a444875eb7c5bb05恒成立,试求eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围.