1 . 记正项数列
的前
项和为
,若
,则
的最小值为__________ .
![](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/57deda4866b0d5825402b9153cdd6b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a83bd56182758d8ef1e15eb5ad3dd9f.png)
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2024-06-03更新
|
477次组卷
|
2卷引用:浙江省绍兴市第一中学2024届高三下学期5月模拟数学试题
解题方法
2 . 已知集合
,
,且
有4个子集,则实数
的最小值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea68b19da984734d0789a035bf8b5d47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7680ddf232b11cdb97e86039a9a4e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
3 . 已知函数
,若
,
,
,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4794be662f783b33ee48c6628e1d1628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1813e963c8bf1352c491a5c4c3874fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341a76642cb554aed4d20e85e432046a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e149f42d544ba0e3d3d79788bdf922fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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4 .
的展开式中
的系数是___________ .(用数字作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2930301b7637b1c6b4a27c6a268a1270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd30d26132718f1684c272e61476331f.png)
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2024-04-18更新
|
928次组卷
|
2卷引用:浙江省绍兴市2024届高三下学期4月适应性考试数学试卷
解题方法
5 . 已知
,且
,
为虚数单位,则
的最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707aed47159fae11f47e464c548a0b95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a12dde0b5b3855c307fefe7a0e9c0cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4b22a3e669a5ad4a11888e0b878a1c.png)
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6 . 已知函数在
上存在极值点,则
的值是
您最近一年使用:0次
2024-03-23更新
|
1022次组卷
|
2卷引用:浙江省绍兴市柯桥区2024届高三上学期期末教学质量调测数学试题
解题方法
7 . 已知
,
是双曲线C:
的左右焦点,过
作双曲线C的一条渐近线的垂线,垂足为N,直线
与双曲线C交于点
,且
均在第一象限,若
,则双曲线C的离心率是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbdbe9a17a23c44cec8c7475c4dc1a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef02d2d4013d3d82a7eea017f17bca93.png)
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8 . 已知
:
的圆心坐标为
,半径为r,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b42e5145bb36c0971ee4e699339355.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dfa0f7b2bf7295220a1b8730991693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b42e5145bb36c0971ee4e699339355.png)
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9 . 数列
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950c6303c2ec03e48137be8addf9245c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
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10 . 位于奥体核心的杭州世纪中心总投资近100亿元,总建筑面积约53万平方米,由两座超高层双子塔和8万平方米商业设施构成,外形为杭州的拼音首字母“H”,被誉为代表新杭州风貌、迎接八方来客的“杭州之门”.如图,为测量杭州世纪中心塔高
,可以选取与塔底
在同一水平面内的两个测量基点C与D,现测得
,
,
米,在点C测得塔顶A的仰角为80°,则塔高
为___________ 米.(结果保留整数,参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b177008fe21567efaaa9fbaccbde86aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc849980579cd8b0560d76ba78331ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49975ee32880d9bc0364285ae87010ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3262ebd07e415e4bcefad98f4bfb81d4.png)
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