1 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1707b474e51f64d059018604622b21ac.png)
(1)证明:
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1707b474e51f64d059018604622b21ac.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca2e56d9ddcb60e79f4d6349574c650.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ede1f36eced5a505a629a61704d86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2016-12-03更新
|
12209次组卷
|
33卷引用:专题08+基本不等式及其应用-2020-2021学年新教材高一数学秋季辅导讲义(沪教版2020)
(已下线)专题08+基本不等式及其应用-2020-2021学年新教材高一数学秋季辅导讲义(沪教版2020)2014年全国普通高等学校招生统一考试理科数学(全国Ⅱ卷)2014年全国普通高等学校招生统一考试文科数学(全国Ⅱ卷)2016届贵州省贵阳市一中高三上学期第三次月考文科数学试卷2016届福建省厦门一中高三上学期期中文科数学试卷2016届江苏省苏州市高三第一次模拟考试数学试卷广东省佛山市三水区实验中学2018届高三上学期第一次模拟考试数学(文)试题【全国市级联考】陕西省宝鸡市2018届高三质量检测(三)数学(理)试题(已下线)二轮复习【文】专题19 不等式选讲 押题专练【全国百强校】内蒙古杭锦后旗奋斗中学2018-2019学年高二下学期第一次月考数学(文)试题【市级联考】甘肃省白银市(学科基地命制)2019届高三模拟(5月)数学(文)试题人教A版 成长计划 必修5 第三章不等式 高考链接广东省潮州市2019-2020学年高三上学期期末数学(理)试题广东省潮州市2019-2020学年高三上学期期末数学(文)试题专题11.7 不等式选讲(练)-江苏版《2020年高考一轮复习讲练测》广东省新兴第一中学2020届高三上学期期末教学质量检测数学(理科)试题广东省罗定第二中学2020届高三上学期期末教学质量检测数学(文科)试题2020届陕西省西安中学高三第一次模拟考试数学(文)试题(已下线)专题35 不等式选讲-十年(2011-2020)高考真题数学分项海南省海口市灵山中学2020届上学期高三第三次月考试题云南省保山第九中学2021届高三上学期阶段测试文科数学试题陕西省西安市长安区第一中学2019-2020学年高二下学期期中数学(理)试题(已下线)考点32 不等式选讲-备战2022年高考数学(文)一轮复习考点微专题(已下线)专题16 选修4-5不等式选讲-十年(2012-2021)高考数学真题分项汇编(全国通用)(已下线)专题21不等式选讲-2022年高三毕业班数学常考点归纳与变式演练(文理通用)(已下线)易错点22 不等式选讲-备战2022年高考数学考试易错题(全国通用)(已下线)专题22 不等式选讲(已下线)专题22 不等式选讲江西省新余市第一中学、江西省丰城中学2023届高三上学期联考数学(理)试题沪教版(2020) 必修第一册 精准辅导 第2章 2.3(3) 三角不等式(已下线)专题21 押全国卷【选修4-5】不等式四川省绵阳中学2024届高三高考适应性考试(一)数学(理科)试题(已下线)专题27 不等式选讲(文理通用)
14-15高三上·上海嘉定·期末
2 . 已知数列
满足
(
).
(1)若数列
是等差数列,求它的首项和公差;
(2)证明:数列
不可能是等比数列;
(3)若
,
(
),试求实数
和
的值,使得数列
为等比数列;并求此时数列
的通项公式.
![](https://img.xkw.com/dksih/QBM/2014/2/12/1571506649980928/1571506655297536/STEM/582c3183233740e28f58539988df1dbb.png?resizew=32)
![](https://img.xkw.com/dksih/QBM/2014/2/12/1571506649980928/1571506655297536/STEM/f5c45bd57c5e45ad8a95f80b578b0cdd.png?resizew=115)
![](https://img.xkw.com/dksih/QBM/2014/2/12/1571506649980928/1571506655297536/STEM/7267dcf94ea0481884b1939941791972.png?resizew=47)
(1)若数列
![](https://img.xkw.com/dksih/QBM/2014/2/12/1571506649980928/1571506655297536/STEM/582c3183233740e28f58539988df1dbb.png?resizew=32)
(2)证明:数列
![](https://img.xkw.com/dksih/QBM/2014/2/12/1571506649980928/1571506655297536/STEM/582c3183233740e28f58539988df1dbb.png?resizew=32)
(3)若
![](https://img.xkw.com/dksih/QBM/2014/2/12/1571506649980928/1571506655297536/STEM/b9b70788a7104b079a4a77dddf53d56b.png?resizew=52)
![](https://img.xkw.com/dksih/QBM/2014/2/12/1571506649980928/1571506655297536/STEM/79c14bdeef744ad5874e56fb948185c4.png?resizew=105)
![](https://img.xkw.com/dksih/QBM/2014/2/12/1571506649980928/1571506655297536/STEM/7267dcf94ea0481884b1939941791972.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2014/2/12/1571506649980928/1571506655297536/STEM/f48f799164fa49fca7dee2708e8ec9f9.png?resizew=14)
![](https://img.xkw.com/dksih/QBM/2014/2/12/1571506649980928/1571506655297536/STEM/7a892c80ce0b473f97764ae2aff9b536.png?resizew=14)
![](https://img.xkw.com/dksih/QBM/2014/2/12/1571506649980928/1571506655297536/STEM/57f20fdbcc2f462098c15bb9ff63fe23.png?resizew=31)
![](https://img.xkw.com/dksih/QBM/2014/2/12/1571506649980928/1571506655297536/STEM/582c3183233740e28f58539988df1dbb.png?resizew=32)
您最近一年使用:0次
真题
3 . 在数列
中,
,
,且
;
(1)设
,证明
是等比数列;(2)求数列
的通项公式;(3)若
是
与
的等差中项,求
的值,并证明:对任意的
,
是
与
的等差中项;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac47ce938ba204c72f1d2826de98669.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc441038390bad40841db9c2cf9f33e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d726666f99a5a41dd673a2330e377b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45a9eb6adbdfe7cd690fcca74e70340b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9d634b493bdeff5a692f4bea23d9b3.png)
您最近一年使用:0次
2016-11-30更新
|
1602次组卷
|
5卷引用:上海市宝山区2016-2017学年高一下学期期末学情调研数学试题
上海市宝山区2016-2017学年高一下学期期末学情调研数学试题上海市崇明区2019-2020学年高一下学期期末数学试题2008年普通高等学校招生全国统一考试文科数学(天津卷)(已下线)2012-2013学年山东省济宁市鱼台一中高二3月月考数学文科试卷2008年普通高等学校招生考试数学(文)试题(天津卷)
名校
4 . (本题满分18分,第1小题4分,第2小题6分,第3小题8分)
已知数列
的前
项和为
,且
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ba7477cc35295206e79e1cb7fb4f3d.png)
(1)若
,求数列
的前
项和
;
(2)若
,
,求证:数列
为等比数列,并求出其通项公式;
(3)记
,若对任意的
,
恒成立,求实数
的取值范围.
已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ba7477cc35295206e79e1cb7fb4f3d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859003d7a148e04e2935e8befbca8441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ae7dfe5fbb574b9c0ea1d85f402d77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9591e5f1367c94a9a2b7499c3d6892d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e46493fd829e4eeed0c6153462287fa.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16c748e944bd0181b1c67dcd533b040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2abd5cef5c44dd03fab10eaeefe26dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2016-12-03更新
|
287次组卷
|
4卷引用:2015届上海市普陀区高三二模理科数学试卷
13-14高三·四川资阳·阶段练习
名校
5 . 已知数列
的前
项和为
,
,
,
.
(1) 求证:数列
是等比数列;
(2) 设数列
的前
项和为
,
,点
在直线
上,若不等式
对于
恒成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bae03ee4ac75dacfb026290e4207dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db741efa6e4a87a9647af0fb6c3455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1) 求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098d9e65e9676e4386c5d861c8eb03b5.png)
(2) 设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c609ffa4e2bc842242fec0384c409e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c11bdfc75b793d660afb68b14b15932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d891eb83c8745e44bafce9189dc10de9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2016-12-03更新
|
1122次组卷
|
10卷引用:上海市金山中学2016-2017学年高三上学期期中数学试题
上海市金山中学2016-2017学年高三上学期期中数学试题(已下线)2015届四川省资阳市高三第一次诊断性测试理科数学试卷2015届山东省青岛市高三下学期自主练习理科数学试卷2015届山东省青岛市高三下学期自主练习文科数学试卷2015届甘肃省天水市一中高三高考信息卷一理科数学试卷2015届甘肃省天水市一中高三高考信息卷一文科数学试卷2015届辽宁省师大附中高三模拟考试理科数学试卷2016届黑龙江省牡丹江市一中高三上学期期中理科数学试卷(已下线)2018年高考二轮复习测试专项【新课标理科】热点五 数列中的最值问题(已下线)2018年高考二轮复习测试专项【新课标文科】热点五 数列中的最值问题
13-14高三·安徽·阶段练习
6 . 设满足以下两个条件得有穷数列
为
阶“期待数列”:
①
,②
.
(1)若等比数列
为
阶“期待数列”,求公比
;
(2)若一个等差数列
既为
阶“期待数列”又是递增数列,求该数列的通项公式;
(3)记
阶“期待数列”
的前
项和为
.
(
)求证:
;
(![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
)若存在
,使
,试问数列![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638de628156f74449591d17b27cef0ba.png)
是否为
阶“期待数列”?若能,求出所有这样的数列;若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd02291b14b0a745fd625a7b96afc6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccba74cc7e0317af6e03cfe8080811af.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1c5302f67c2b87dc4ed5eb4cf95501c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e27781547df3b2ef53d2b8dfccf0988.png)
(1)若等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d57d1b4a0cd6d371bd9e7ec291f8ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)若一个等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d57d1b4a0cd6d371bd9e7ec291f8ac.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2f47006382fc3fea67a93ae6ec1a72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdeae27291501991c5945bacea3c1fc0.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83fcdf416fcdcf7812272be92e995592.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/109dea2308c52cbde9ac7cd30f1a20f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5256163154c4727a949a89a15f341e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638de628156f74449591d17b27cef0ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/869742b5cd658580c673a3f5ca78f913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2014·上海·二模
名校
7 . 在数列
中,
,且对任意的
,
成等比数列,其公比为
.
(1)若
=2(
),求
;
(2)若对任意的
,
,
,
成等差数列,其公差为
,设
.
①求证:
成等差数列,并指出其公差;
②若
=2,试求数列
的前
项的和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c721c72295e218233274397d79ffb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e231eb58d43b2bbcc011e88df130cd95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9778f679a2495d92a52b36e5e86d4b31.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9778f679a2495d92a52b36e5e86d4b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c721c72295e218233274397d79ffb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85f20406818a94468206830df58923b5.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c721c72295e218233274397d79ffb3.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572664178180096/1572664183971840/STEM/c1615915fa064407b0efd7c916379c40.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572664178180096/1572664183971840/STEM/2a2abb2b532b415380aae00b10f23329.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572664178180096/1572664183971840/STEM/026aa5086aef400f9bb356975daeb20e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8904e7018ec79c8b0efdcb3ba67cb7cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149c10e78e42a380bfd6bdf58a4d0708.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4793bac2f2fcdde242d852f2092175e9.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe9b2f3fb2ead558a60570c7c90aee3.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572664178180096/1572664183971840/STEM/1d2a9dc528f244a9b4b68ad45eaa7d44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63666ed9a7dfd5b578b43d513468acff.png)
您最近一年使用:0次
2016-12-02更新
|
1465次组卷
|
7卷引用:2014届上海市十三校高三年级第二次联考文科数学试卷
2012·上海徐汇·一模
名校
8 . 如果存在常数
,使得数列
满足:若
是数列
中的一项,则
也是数列
中的一项,称数列
为“兑换数列”,常数
是它的“兑换系数”.
(1)若数列:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b50284b0058b20b7ae5e63db2e47e7.png)
是“兑换系数”为
的“兑换数列”,求
和
的值;
(2)已知有穷等差数列
的项数是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7e9f86738335a22298559db41037a4.png)
,所有项之和是
,求证:数列
是“兑换数列”,并用
和
表示它的“兑换系数”;
(3)对于一个不小于3项,且各项皆为正整数的递增数列
,是否有可能它既是等比数列,又是“兑换数列”?给出你的结论,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53f3ed849beaa4b8b2b22baf49055b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)若数列:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b50284b0058b20b7ae5e63db2e47e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12aab2189a2ba339749cdc8b7e96b357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知有穷等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7e9f86738335a22298559db41037a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5d534dadff2c6feaca4060ea972ff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7e9f86738335a22298559db41037a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)对于一个不小于3项,且各项皆为正整数的递增数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
您最近一年使用:0次
2016-12-01更新
|
1376次组卷
|
3卷引用:2012届上海市徐汇区高三4月学习能力诊断理科数学试卷
2011·河北唐山·一模
名校
9 . △ABC中,角A,B,C对边的边长分别是a,b,c,且a(cosB+cosC)=b+c.
(1)求证:A
;
(2)若△ABC外接圆半径为1,求△ABC周长的取值范围.
(1)求证:A
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c72add9c1c236c3cd8f0be037f200798.png)
(2)若△ABC外接圆半径为1,求△ABC周长的取值范围.
您最近一年使用:0次
2016-11-30更新
|
1076次组卷
|
3卷引用:上海市光明中学2015-2016学年高一下学期期中数学试题
2011·上海·一模
名校
10 . 已知数列a,b,c是各项均为正数的等差数列,公差为d(d>0).在a,b之间和b,c之间共插入n个实数,使得这n+3个数构成等比数列,其公比为q.
(1)求证:|q|>1;
(2)若a=1,n=1,求d的值;
(3)若插入的n个数中,有s个位于a,b之间,t个位于b,c之间,且s,t都为奇数,试比较s与t的大小,并求插入的n个数的乘积(用a,c,n表示).
(1)求证:|q|>1;
(2)若a=1,n=1,求d的值;
(3)若插入的n个数中,有s个位于a,b之间,t个位于b,c之间,且s,t都为奇数,试比较s与t的大小,并求插入的n个数的乘积(用a,c,n表示).
您最近一年使用:0次