1 . 在数列
中,若
为常数
,则
为“等方差数列”,下列是对“等方差数列”的判断;
①
是等方差数列,则
是等差数列;
②
是等方差数列;
③ 若
是等方差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed8c521ba833022d7f57a4d44b2824f.png)
为常数
也是等方差数列;
④ 若
既是等方差数列,又是等差数列,则该数列为常数列.
其中正确命题序号为__________ .(将所有正确的命题序号填在横线上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca1c0c66577dd728e61895ebc96b3ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c806dc9bf2cad0cb20220d23bd252a2f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef891fc99921b6093392c1e3c5347d1.png)
③ 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed8c521ba833022d7f57a4d44b2824f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b6a244eab64b41c3f98222feb04855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
④ 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
其中正确命题序号为
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解题方法
2 . 单位圆的内接正
边形的面积记为
,则
_____ ; 下面是关于
的描述:①
;②
的最大值为
;③
④
;其中正确结论的序号为__________ .(注:请写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8715a3f984d2627afd7c40c61347b7cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4fc8faefb26b233d4aa9dbef043aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72253d846d8750db2bf695df99c53f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4fc8faefb26b233d4aa9dbef043aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91d5ad93b7e37e565e745c99f665018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4fc8faefb26b233d4aa9dbef043aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56eb25af98b215b4a97d5f8ab23b4c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee03d81d3fe9d048da72d5dcdc4f7f6.png)
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名校
解题方法
3 . 在直角坐标系
中,双曲线
(
)的离心率
,其渐近线与圆
交
轴上方于
两点,有下列三个结论:
①
;
②
存在最大值;
③
.
则正确结论的序号为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39e24fa49e9766c6e39e1bf1102c70b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0e89b9ed94f40bc0434a38d0ba811cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0f3e15d7b753a178d7b546cbfdf4b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facf4e19c292cf674467870793e12c67.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b537fa355e09891c0f06f8012a407b9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef3c35cc4e443e9b42056fe24e516d7.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09090153a0096b7e489ffb28c267dc46.png)
则正确结论的序号为
您最近一年使用:0次
2020-05-20更新
|
2048次组卷
|
5卷引用:2020届北京市大兴区高三第一次模拟考试数学试题
2020届北京市大兴区高三第一次模拟考试数学试题(已下线)专题12 平面向量-2020年高考数学母题题源解密(北京专版)北京市海淀区中国人民大学附属中学2023届高三上学期期末数学模拟试题(已下线)专题9 平面向量数量积的最值问题北京市顺义区第一中学2023-2024学年高二上学期12月月考数学试题
名校
4 . 在一个不透明的口袋中装有大小、形状完全相同的9个小球,将它们分别编号为1,2,3,
,9,甲、乙、丙三人从口袋中依次各抽出3个小球.甲说:我抽到了8号和9号小球;乙说:我抽到了8号和9号小球;丙说:我抽到了2号小球,没有抽到8号小球.已知甲、乙、丙三人抽到的3个小球的编号之和都相等,且甲、乙、丙三人都只说对了一半.给出下列四各结论:①甲抽到的3个小球的编号之和一定为15;②乙有可能抽到了2号小球;③丙有可能抽到了8号小球;④3号,5号和7号小球一定被同一个人抽到.其中,所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
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名校
解题方法
5 . 下列说法中,正确的有__________ .(写出所有正确说法的序号)
①已知关于
的不等式
的解集为
,则实数
的取值范围是
.
②已知等比数列
的前
项和为
,则
、
、
也构成等比数列.
③已知函数
(其中
且
)在
上单调递减,且关于
的方程
恰有两个不相等的实数解,则
.
④已知
,且
,则
的最小值为
.
⑤在平面直角坐标系中,
为坐标原点,
则
的取值范围是
.
①已知关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123c15869608f974b89771202442d3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9059219044592024f63637984f86be30.png)
②已知等比数列
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5188d6760683a860adab0cda195cdf80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd6fe11dfa538e67bfd63478fc428a1.png)
③已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d97ad2720a77862202ac613e9e77e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1e1c54b1a07850afba46754a27b32a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cdd93d95a9fb5f5cd7e8be3800ecdf.png)
④已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0cb6220005e5dbd9999e537aa90d80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3aa69c18639f94f0635ea4c07dc2dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b90f08f3dcf9f9c7fe7c0fced28bc9a.png)
⑤在平面直角坐标系中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e04872f980977d25187ae6b80c2f04c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aafb698ab3b41359de48221799569bd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a35d07184600690b812ac5885ee66a.png)
您最近一年使用:0次