1 . 设
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3de0ebe9379e596a90ef133fc9a9b4.png)
您最近一年使用:0次
解题方法
2 . 空间四面体ABCD中,已知
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/20/665746bf-ebef-4fac-b425-6dbef3721475.png?resizew=161)
(1)求CD的长;
(2)已知点E在线段AC上运动,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b134e7a79f6b0ccd857d2ed852098e1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa6874ed1ac4e8ebf7f341e3e3056cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b36f544cf07db2aeecbe76e87a8c555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addb8e20db1fbb40f17dea52f951b907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/20/665746bf-ebef-4fac-b425-6dbef3721475.png?resizew=161)
(1)求CD的长;
(2)已知点E在线段AC上运动,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae7c0b22a09146fe87955159f70454b.png)
您最近一年使用:0次
解题方法
3 . 已知实数
满足约束条件
且不等式
恒成立,则实数
的最小值是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad70a9d94b49d11dbd0c90420f2ba863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182235357f024436ee5fa446d3f7ead7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
4 . 设
为等比数列,公比
为
的前
项和.记
,设
为数列
的最大项,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7815031c5a5744d0effdd8314217f8.png)
![](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/cd832221b2391d0610a18f894f2d9c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fd0abf6be394ecb5d7962811e377a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de777c4e44546bcfe26ad5b6bb418052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7e9f86738335a22298559db41037a4.png)
A.3 | B.4 | C.5 | D.6 |
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5 . 用
表示自然数
的所有因数中最大的那个奇数,例如:9的因数有
,
,10的因数有
,
,那么
=__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2851cb9ffb602b4cec7ccd01e35dd95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/412c73872a41744bb74eebfba048d664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18c394cfe2aa1bef6baadf8703e03c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244cf53f0fcf787c289d0bd22aae75fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d991a3361309a8a006312748b129c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e3ddf574ba81dc32599ba356174c80.png)
您最近一年使用:0次
解题方法
6 . 在
中的三个内角
的对边分别为
,重心为
,若
,则
=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6f99357a60ba45016714dc392980ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35cfed78d5b147eb5c6d918b5f69ca5.png)
您最近一年使用:0次
解题方法
7 . 已知
满足约束条件
,若
的最大值为6,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9aea626078191129f589e154e1f74f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef585486cab9ba889ec0f06596254e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3287da9f4f312695a216b40049fbaaf9.png)
A.2 | B.3 | C.![]() | D.5 |
您最近一年使用:0次
8 . 对任意
,函数
满足
,设
,数列
的前15项的和为
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9322dd8f56b5f8d2c667fdf0d4a9f9aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/033b58cb6a82e24fa2f4919da5269c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6857207c55d7ae7e525dbe41be044f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc2d5ea44c605de2d85d0f654cc5d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2a8221a2483e805d5732574338d4c3.png)
A.![]() | B.![]() | C.1 | D.![]() ![]() |
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解题方法
9 . 已知数列
的前
项和为
,等比数列
的首项
,公比为
.
(1)求两数列
的通项公式
;
(2)设
,若存在
,使得
成立,求数列
的和.
![](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/3752a6f0cf0024457b506c2c4b6a50e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba7bb60b94d0b62978c92989420a54a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
(1)求两数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0914c295f572c98dd043d4f84268934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/626d82c9a1e2b37c41ea6e73ba0a1f77.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36407bc32faaa0d26aabe0734fcd437c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7905fd422e78a1d22ff6f11950bc5cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e31585a72bee2854c2595573fc9db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acab2a43d2177985b5247dc2f96dfb46.png)
您最近一年使用:0次