2020高三上·全国·专题练习
1 . 下列说法中,正确说法的序号为___________ .(写出所有正确说法的序号)
①正切函数
的图象关于点
对称;
②若
,则
成等比数列;
③函数
和函数
具有相同的单调区间;
④若函数
的图象恒在x轴上方,则
的取值范围是
.
①正切函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffa8ddcbbe89ab0f250f56673e2d36c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef183993d9ca7294a680d8797ce79647.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8379fe535e68721fd84be969d257f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eecf783b0385c573f96e497f7399d038.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d534d9ff88292d2801ef0b0da5deb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c653ed9cff365dfe6648dfd195be416.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec4fbc9e47ae6b6abea9d0ffafeaab9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23cd4b3d8c4419209e8560e60fb322c.png)
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2020高三上·全国·专题练习
解题方法
2 . 下列说法中,正确说法的序号为___________ .(写出所有正确说法的序号)
①正切函数
的图象关于点
对称;
②若
,则
成等比数列;
③函数
和函数
具有相同的单调区间;
④若函数
在
上为增函数,则
的取值范围是
.
①正切函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffa8ddcbbe89ab0f250f56673e2d36c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef183993d9ca7294a680d8797ce79647.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8379fe535e68721fd84be969d257f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eecf783b0385c573f96e497f7399d038.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d534d9ff88292d2801ef0b0da5deb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c653ed9cff365dfe6648dfd195be416.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec4fbc9e47ae6b6abea9d0ffafeaab9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60cce332317884d04b38b1ebe8a50d18.png)
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3 . 下列说法
①若lga,lgb,lgc成等差数列,则a,b,c成等比数列
②若命题p:“存在x∈R,x2-x-1>0”,则命题p的否定为:“对任意x∈R,x2-x-1≤0”
③若x≠0,则x+
≥2
④“a=1”是“直线x-ay=0与直线x+ay=0互相垂直”的充要条件
其中正确结论的序号为_______ (把你认为正确结论的序号都填上).
①若lga,lgb,lgc成等差数列,则a,b,c成等比数列
②若命题p:“存在x∈R,x2-x-1>0”,则命题p的否定为:“对任意x∈R,x2-x-1≤0”
③若x≠0,则x+
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf35027e76f8ea593f82023973d4aba3.png)
④“a=1”是“直线x-ay=0与直线x+ay=0互相垂直”的充要条件
其中正确结论的序号为
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名校
4 . 下列叙述中,
①等差数列
,
为其前n项和,若
,
,则当
时,
最小;
②等差数列
的公差为d,前n项和为
,若
,则
为递增数列;
③等比数列
的前n项和为
,若
,则
有最小项;
④在等差数列
中,记
,若存在
,使得
,则
为递增数列.
正确说法有______ (写出所有正确说法的序号)
①等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b134439819d3069da709979cb9b1a991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5846713aaecbab35ad985cbe9ad7d44a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd6cd3173d146902c5518503888c3b59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
②等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
③等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5c8a6c196890aa7871ea0c82061ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
④在等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134aefab10d3e81e223e9123da5f417e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f29c06a3e9a73e905eb87d71efa201c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb50854126e66c09294192ed1db29ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
正确说法有
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5 . 给出如下四种说法:
①四个实数
依次成等比数列的必要而不充分条件是
.
②命题“若
且
,则
”为假命题.
③若
为假命题,则
均为假命题.
④若数列
的前项n和
,则该数列的通项公式
.
其中正确说法的序号为________ .
①四个实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d10449bc77d692a7270e0f20a68cdf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd68c14adb3cf12d8f77aec55a053284.png)
②命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee18d7a40f7a7e0dc85b1bd75bf750c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a583e1950f97c1c88fc322421fd1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe748266e2c04f5a887947312199e8c.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
④若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8a478678a8db5e26aa9eff0298a2b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032ee491b2830e8427c307ddce4e607b.png)
其中正确说法的序号为
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6 . 下面有四个命题:
①在等比数列
中,首项
是等比数列
为递增数列的必要条件.
②已知
,则
.
③将
的图象向右平移
个单位,再将所得图象的横坐标不变,纵坐标缩短到原来的
,可得到
的图象.
④设
,则函数
有最小值无最大值.
其中正确命题的序号为___________ .(填入所有正确的命题序号)
①在等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f3998adfa2a5677ceb2a5414ae1e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e216415533c9198b4f03fb3a8dea293.png)
③将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f4780d6274f91ea0ccd9e63e5d4044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffa8ddcbbe89ab0f250f56673e2d36c.png)
④设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55feb3cbcaf37c63b6ce1c5abece8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa9f435744df49615adbe532d4cd47e.png)
其中正确命题的序号为
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2018-04-12更新
|
597次组卷
|
2卷引用:山东、湖北部分重点中学2018届高三高考冲刺模拟考试(二)文科数学试题
名校
7 . 有以下结论:
①不存在
,使得
;
②若
,则a,x,b成等比数列;
③设O是平面ABC内一定点,P为平面ABC内一动点,若
,则O为
的外心;
④已知
所在的平面上的点P满足
,则直线AP一定经过
的内心.
其中正确的结论序号为______ (请把所有正确的结论序号都写出来).
①不存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e36c9c91220b0f2cbd4a48e8fa90e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b682778d7f3b4bb6e0950de69453c3.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99047070ae53baae5a237f7fc510db89.png)
③设O是平面ABC内一定点,P为平面ABC内一动点,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af1983fa9be423eecc616de136bb1d35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
④已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8908bb969d28eb473a60c9e8f4073e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
其中正确的结论序号为
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名校
解题方法
8 . 数列
的前
项和为
,若数列
与函数
满足:
(1)
的定义域为
;
(2)数列
与函数
均单调递增;
(3)
使
成立,
则称数列
与函数
具有“单调偶遇关系”.给出下列四个结论:
①
与
具有“单调偶遇关系”;
②
与
具有“单调偶遇关系”;
③与数列
具有“单调偶遇关系”的函数有有限个;
④与数列
具有“单调偶遇关系”的函数有无数个.
其中所有正确结论的序号为( )
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0402d106366846ca9f34de39fa4338fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd70bc89bcebe10b16931b1e654d211.png)
则称数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff1c33b81ac2f065d37faef37504bb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18ca67c2770b98f36dbfd802595a95.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4b5779873cb3f4366dbfdb983dec81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d087d57ecfdb9979a7c187f8b009bea7.png)
③与数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d59e423e1dd1a49b0b6670041321c73.png)
④与数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a97e99f49ad1998d2858e1963aa45de.png)
其中所有正确结论的序号为( )
A.①③④ | B.①②③ | C.②③④ | D.①②④ |
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2024·全国·模拟预测
解题方法
9 . 已知数列
的前
项和为
,且
,给出下列结论:①
;②
;③
;④存在常数
,使得数列
是等比数列.其中所有正确结论的序号为______ .
![](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/3c7d606ca5ba5acb50884c6ae7f96f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50ac19e6a9aa35d3ae17c0b9036ac5e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2798e1dcab1f7f0fe3b8a94b3cd6a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802204fe4cf70fce07b1cd529eae5dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20f16aa1ac74b56932dc54d67517af16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9276a327757fe4f44e70d50a415cff.png)
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2024·全国·模拟预测
解题方法
10 . 已知等比数列
的公比为
,它的前
项积为
,且满足
,
,给出以下命题:①
;②
;③
为
的最大值.其中正确命题的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.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/50264d5cb22067b076fe3e2376d39f89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b4a288ed2eabfaf91963eb54bea320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31add5d92e80dcec34cea2dcec7fd2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5087b65850c79e65452645719f176b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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