1 . 已知下列三个命题:
若直线
和平面
内的无数条直线垂直,则
;
:若
,则
;
:在
中,若
,则
.
其中真命题的个数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a617a9b648bfb804eb7ac1cf357f8a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e380108ba2cf04e68a5a9393d2b921c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edecfbf1b4e1052468d209e8f017a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1354ed0a49ce7fc4ab30bd89ce148723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b21b872313f7d8c5b606981f954a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca51be437b1a97ca92aa1159ab71102c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dc38d888741a1b2e95fe0773a48c38.png)
其中真命题的个数是
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
名校
2 . 已知
,函数
,
(
是自然对数的底数).
(Ⅰ)讨论函数
极值点的个数;
(Ⅱ)若
,且命题“
,
”是假命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5d5f3fced276f3127f2e3c0c428f9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c9f357eae697e6758b13b7a13b593f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d218992d1942266d7208e476d0c4100.png)
(Ⅰ)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d176e1fcf07f69f98de820bf524236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6f008ca86a6fe6b2b467254e388cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2017-05-10更新
|
2038次组卷
|
4卷引用:山东省淄博市2017届高三第二次模拟考试数学(理)试题
解题方法
3 . 给出下列四个命题:
①函数
在区间
上存在零点;
②要得到函数
的图象,只需将函数
的图象向左平移
个单位;
③若
,则函数
的值城为
;
④“
”是“函数
在定义域上是奇函数”的充分不必要条件;
⑤已知
为等差数列,若
,且它的前
项和
有最大值,那么当
取得最小正值时,
.其中正确命题的序号是__________ .
①函数
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/b655d38549164c59867e4d94f11efbf9.png?resizew=123)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/ca3f752bcf854500974df6886ea07ed3.png?resizew=33)
②要得到函数
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/1c506a857054489398014631f620cd51.png?resizew=60)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/9c4032b78d644143a0c093275a3c2e15.png?resizew=100)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/217a53c36c1548d39db4776d87a14273.png?resizew=17)
③若
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/fc30550d834440bf91b46764b7ee93e6.png?resizew=49)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/c953890882964091925a6dd58efe9010.png?resizew=147)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/e3632ed30eea4f01be8ada8724df1b6c.png?resizew=16)
④“
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/03c5799884d24399b59dd689fa28ef2b.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/a22c093efd764e6dbf7b10778fb7880a.png?resizew=99)
⑤已知
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/92e7343367f643538d2e52e9e1a17f8e.png?resizew=31)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/a8a5d096fbd94c3db20a523e15f189a3.png?resizew=59)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/79cbaae30a334e02bc78edde95a391f4.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/9f0c88d142c7417696efbc94d173a456.png?resizew=20)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/9f0c88d142c7417696efbc94d173a456.png?resizew=20)
![](https://img.xkw.com/dksih/QBM/2016/1/5/1572418545074176/1572418551136256/STEM/3a62d34c81254643ade5ea42e8981bf5.png?resizew=47)
您最近一年使用:0次
4 . 设m是一个非负整数,m的个位数记作
,如
,
,
,称这样的函数为尾数函数.给出下列有关尾数函数的结论:
①
;
②
,若
,都有
;]
③
;
则正确的结论的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee53de59dde51125e85976f971dc9d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941e386b4eaab6b92a9ebcc678734896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d798792867f5e328b969a4dfab54fc5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f94a1caa3d9007c8e0b337a27fd856d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5448c0b24a1be067f25f8b3452c427.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/050f4807b669482d496e6bc086264fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f3f0bf97c664d0bf86d450a0cb9592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/250f7c541bda2a5de97f7925c1d9664c.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30766b4589c4288fe4193d37a71986f.png)
则正确的结论的个数为
A.3 | B.2 | C.1 | D.0 |
您最近一年使用:0次
12-13高三·上海·阶段练习
5 .
,其中
均为常数,下列说法正确的有
(1)若
,则对于任意
,
恒成立;
(2) 若
,则
是奇函数; (3) 若
,则
是偶函数;(4) 若
,且当
,则
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16fd7b3edb613bece583e34b0f1cfdc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/247bece373d07c71edf01b79a6ee7393.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1be44b3f4c2d652f3dab5a24cbf6a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
(2) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104375baf5cef5eb92cfc7cf13b80193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f206c5aaa43c3779a7871f0264b620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba3ea45c7db37f11b4d0994e3d724b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a74a20e4fefe4673cf472107bca7044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a138fae2924c6104c0d9a8f23576007.png)
您最近一年使用:0次
11-12高三上·山东济宁·阶段练习
6 . 已知
是定义在
上的不恒为零的函数,且对任意实数
满足
,
有以下结论:
①
;②
为偶函数;③数列
为等比数列;④数列
为等差数列.
其中正确结论的序号是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f988dbb935169b00c3647c758bcdf148.png)
有以下结论:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d0c9d13770863f59ea9fa45488de63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
其中正确结论的序号是
您最近一年使用:0次