1 . 已知点的序列
,其中
.(
是线段
的中点,
是线段
的中点,……,
是线段
的中点,…)
(1)写出
与
之间的关系
;
(2)设
,计算
,由此推测数列
的通项公式,并且加以证明;
(3)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6efe8e23ba28b415fe26cd742e0fda1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e883f1d1fb1235fdcebbdddc10260f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a7d8ddf2222c69472646efc47ff424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473913c0887bb64d386f4c02f1853452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e47cd514b2920609e3781c87df6ab70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11603c89c66f064b263af841dae023f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a4f2bafc3346d14a8967ce2546157d.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217df7d069af637f4a9edefb9d2b10c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80be0c3c50d2bd6230b53fbd056122df.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c775fc62e7696028a9184e5212f0446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c14d9ae06f864498048d55088ff4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5542cfe5ed49d02ad4c2e81de092a2.png)
您最近一年使用:0次
2020-06-26更新
|
354次组卷
|
3卷引用:2002年普通高等学校春季招生考试数学(理)试题(北京卷)
2 . 对于数列
,把
作为新数列
的第一项,把
或
作为新数列
的第
项,数列
称为数列
的一个生成数列.例如,数列
、
、
、
、
的一个生成数列是
、
、
、
、
.已知数列
为数列
的生成数列,
为数列
的前
项和.
(1)写出
的所有可能值.
(2)若生成数列
满足的通项公式为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f276661599683f66dc84c2117e45a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8f8b26a445c3ea779a42b4a38901f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
(2)若生成数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a0c2e9ac6bce500fb95c3d69153ef4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
3 . 定义在
上的函数
满足:①当
时,
;②
.设关于
的函数
的零点从小到大依次为
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83e590fa0b13ad3e9c9756642ef53a3.png)
____________ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91ceea3259f26d816ae075e519804c0.png)
________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec04e67e37fbf0c78aeb7278a9ae1cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab67eeeec04700ecb63e22874093036b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74a940e5f45501eba9b07b73b2248bf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0985146e8adf8ae20d804cc0873c5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ab8b4ee0658aea3e2deb33a10103eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83e590fa0b13ad3e9c9756642ef53a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5a0fd5a050d2d1ea36737c51fed221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91ceea3259f26d816ae075e519804c0.png)
您最近一年使用:0次
2016-12-02更新
|
2025次组卷
|
4卷引用:2014届北京市海淀区海淀高三上学期期中考试理科数学试卷
(已下线)2014届北京市海淀区海淀高三上学期期中考试理科数学试卷2015届湖北省黄冈中学高三上学期期末考试理科数学试卷江苏省南京市第二十九中学2021-2022学年高三上学期12月月考数学试题(已下线)模拟冲刺过关试卷02-【查漏补缺】2022年高考数学三轮冲刺过关(新高考专用)
11-12高二下·北京西城·期末
4 . 在数列
中,对于任意
,等式
成立,其中常数
.
(Ⅰ)求
的值;
(Ⅱ)求证:数列
为等比数列;
(Ⅲ)如果关于n的不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d5ae44dc1c623bc027461b18c83309.png)
的解集为
,求b和c的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d726666f99a5a41dd673a2330e377b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c6f4f7b8fd5403c707f4f6562c8312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc57a025dceb6eadd5e8f2dc3b2583f.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0158862238e250d2a2598b7d4ecd148.png)
(Ⅱ)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ccab72f42918a08de80f2ed6d8d89b.png)
(Ⅲ)如果关于n的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d5ae44dc1c623bc027461b18c83309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51476fb83dbc422f60c765a9d5f9afb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db9d5ccff634977c6bd324f28e6da1a8.png)
您最近一年使用:0次
5 . 已知数列
和
满足:
,
,
,其中
为实数,
为正整数.
(Ⅰ)证明:对任意的实数
,数列
不是等比数列;
(Ⅱ)证明:当
时,数列
是等比数列;
(Ⅲ)设
为数列
的前
项和,是否存在实数
,使得对任意正整数
,都有
?若存在,求
的取值范围;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47769ca08edfa79fc200b9f37d197335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6a8f0d0c78bacfb7bc0e166d20158b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65220e3da8e363042fe1468ea600af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(Ⅰ)证明:对任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cc3c95b5fb6a85cd4275acb23e8a8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(Ⅲ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.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/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f740d370ffa09a06354f981b7fe7881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2016-11-30更新
|
1252次组卷
|
3卷引用:2010-2011学年北京师大附中高一下学期期中考试数学
(已下线)2010-2011学年北京师大附中高一下学期期中考试数学沪教版(上海) 高二第一学期 新高考辅导与训练 第7章 数列与数学归纳法 7.3(4)等比数列的求和公式的应用2008年普通高等学校招生考试数学(文)试题(湖北卷)
14-15高三上·北京东城·期末
名校
6 . 已知{an}是一个公差大于0的等差数列,且满足a3a5=45,a2+a6=14.
(I)求{an}的通项公式;
(Ⅱ)若数列{bn}满足:
…
,求{bn}的前n项和.
(I)求{an}的通项公式;
(Ⅱ)若数列{bn}满足:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9940e35775927419fe60e7f38f916ae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dfa1d716d2ab497391766fbce5acddb.png)
您最近一年使用:0次
2016-12-02更新
|
1857次组卷
|
4卷引用:2014届北京市东城区高三上学期期末统一检测理科数学试卷
(已下线)2014届北京市东城区高三上学期期末统一检测理科数学试卷(已下线)2014届北京市东城区高三上学期期末统一检测文科数学试卷湖南省长沙市开福区第一中学2019-2020学年高二上学期第二次阶段性考试数学试题2019届湖南省长沙市第一中学高考模拟数学(理)试题
12-13高三上·安徽安庆·阶段练习
真题
解题方法
7 . 已知
是定义在
上的不恒为零的函数,且对于任意的
,
都满足:
.
(1)求
,
的值;
(2)判断
的奇偶性,并证明你的结论;
(3)若
,
(
),求
的前
项的和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b69d9577de4ee7c342dda447fa7bc8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896df31f80127adbae738b3a014bd4e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8c7868f798eced7c48e5186761bfc59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a55e4115c36490a40f83d15f066bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
8 . 现有
个(
)实数
,它们满足下列条件:①
,②
记这
个实数
的和为
,
即
.
(1)若
,证明:
;
(2)若
,满足题设条件的5个实数构成数列
.设
为所有满足题设条件的数列
构成的集合.集合
,求
中所有正数之和;
(3)对满足题设条件的
个实数构成的两个不同数列
与
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0aacbe5c1d06633da14e88d91a3d92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82df2e4e85db5a0f6ea909805ac9f775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03a24335c8f3b2391191405837e82208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6fe0a3947b0984774eaaec05afddd4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82df2e4e85db5a0f6ea909805ac9f775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1752474698cd5466dd180df0a00ba9c.png)
即
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725c0894f1ca38c24155ee06e37e9ce5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50e7dc98803a2a5e690decc3d25e8f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ae508dea164e429c1f0cc0c3631c59.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e62d1138048a41c38578b8c810c1ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)对满足题设条件的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b764d9d35dae87b31711545f9864d2f1.png)
您最近一年使用:0次
名校
9 . 设数列
的前
项和为
,点
均在函数
的图象上.
(Ⅰ)求数列
的通项公式;
(Ⅱ)若
为等比数列,且
,求数列
的前n项和
.
![](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/34cc5336744f35a0bbbac8b5f6b9b083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108d31b93eb4b4b0a09683c0e8c53621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b4cb856d6ac524c4c1c421e25d668ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2016-12-03更新
|
1199次组卷
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2卷引用:2015届北京市石景山区高三3月统一测试(一模)文科数学试卷
10 . 若有穷数列
,
,
(
是正整数)满足条件:
,则称其为“对称数列”.例如,
和
都是“对称数列”.
(Ⅰ)若
是25项的“对称数列”,且![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/1cf507e85a6d41548756ccd39eb9b820.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/b40af0f8f1574c79973175558b3f5e88.png)
,
是首项为1,公比为2的等比数列.求
的所有项和
;
(Ⅱ)若
是50项的“对称数列”,且![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/dc2f161933d942a09b4b54f8a681a094.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/1652c3580c4b4404bc3fe314875cd3e2.png)
,
是首项为1,公差为2的等差数列.求
的前
项和
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef567a198aae0dd1cbe58b7abde52fc7.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/131a186184d24b5d981556778345890c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6d514a08805ecff6ba72ebd9518d8e.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/91dc5e7314f64dad875fb0b68c616fb3.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/df90ed3760604efdb6ef88e3b4b2c055.png)
(Ⅰ)若
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/f205bf6b8cc14801821a31574bada72e.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/1cf507e85a6d41548756ccd39eb9b820.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/b40af0f8f1574c79973175558b3f5e88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406f92f866e67db044f8dd4efdb2a418.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/ae3fbafab9b4441b8c675a3c5828d442.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/f205bf6b8cc14801821a31574bada72e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(Ⅱ)若
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/d0b9ce27ac5f4b3f91c11ed32c386f3b.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/dc2f161933d942a09b4b54f8a681a094.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/1652c3580c4b4404bc3fe314875cd3e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e89684ec4a7726b462dc8a1a6433e58.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/86c6d1a8bd9c4a88b30c32afc1d30773.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/d0b9ce27ac5f4b3f91c11ed32c386f3b.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/da58a61579a142e882d2fc773cce17b9.png)
![](https://img.xkw.com/dksih/QBM/2015/3/18/1572013575946240/1572013581770752/STEM/1eab2cfdd56944459675bcada80ecf60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65878d246002e7a7bb6fca223ef5a973.png)
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