组卷网>知识点选题>利用函数零点(方程有根)求参数值或参数范围问题
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2 . 已知函数eqId94ef7adfc0314504b8f74fefc34e1fbc的值域为eqId38a1a72a865d4179b3b243977e23dce4,且eqIda4c057d1931e4a3387b533879a365e96,若关于eqIda9cd3f94eb8045438f75e9daccfa7200的方程eqIdd94a0e64914d4ca6b695280e6ba7e951有三个不同的实数根,则eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围为(   )
A.eqId8db787b1fecb48d9a410efd47c7a8118B.eqId7ea0b98520dc4e9bac4a4eb4cfe62b81C.eqIda75f32d729e345fca573383b8c130842D.eqId1464bf99b44f4ce98edd60fc7d1f32ba
3 . 已知二次函数eqId39c09443f2944681a5719f1ede098af3
(1)若1是eqId6f13759e937144069819aed2ae5a1057的一个零点,求实数eqId4d2187284c5d4de29906363f7d21f60f的值;
(2)若eqId0836c1003605494a89734a73b75e144ceqId6709283711bf4ae39fde99d031d3bb28恒成立,求实数eqId4d2187284c5d4de29906363f7d21f60f的取值范围.
4 . 已知函数eqId041fab3bf84b44a6b1ebd72a4033a2ba满足eqIdb0d680ee914546cd98a1263abb10d93a.
(1)求实数eqIdaea992e70d4943e49e893817eb885ed7的值以及函数eqId4837c94ef0ff4dcf9b1dda4df363275a的图像的对称中心坐标;
(2)若函数eqId78f9457c70ff426b92074e347b2259f4在区间eqIdfc006ff87365450c825a4c9966a95117上有且只有两个零点,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
6 . 下列几个说法,其中正确的有(   )
A.己知函数eqId4837c94ef0ff4dcf9b1dda4df363275a的定义域是eqId8f6d1315c4aa4c44becbfa00c1904cc6,则eqIdb0225d6052654ba58f42201646caa7ee的定义域是eqIde17d5d04d49e4769b40f6ce3e7405197
B.当eqId63b86601a28e4888bdae850d35365fce时,不等式eqId36c1fba514854d719937f2fd18f01b27恒成立,则实数eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围为eqIdd89ea8ab125243bf9a8eb957675e7c1b
C.已知关于eqIda9cd3f94eb8045438f75e9daccfa7200的方程eqId4037a6bbd0b64f11a8a0321b72504d20的一根比1大且另一根比1小,则实数a的取值范围是eqId9ce0996a226f407ebbbcb9d38a7e8efbeqId982da3835b7946d999cc8604a2ece266
D.若函数eqIdc0f4716ce8c646c1992e1cd45b1bda18在区间eqId4dd07ec665914689b02faf818ff64a4d上的最大值与最小值分别为eqId2381423d4cd146cab95f55527681a766eqIda4be99d332154d13a4a6ed1ff6444fe7,则eqId3b35603037da4eb89dd802c8c8791d42
7 . 已知函数eqId198532fe72584cd788143cafc2f00f71在区间eqIdc4ede4fc7df041e3a07e3f97318bdd84上有最大值4和最小值eqId6b7384efc2464ef5877e330357f81504
(1)求eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7的值;
(2)设eqId0f4472baa7a54e05a35a6fcf04c9f94a
①若eqId79442dcac7014b1e80b9dd41cb4ba0fa时,eqId126f67cc6b28443da098e9ecddbdbd23,求实数eqId4d2187284c5d4de29906363f7d21f60f的取值范围;
②若方程eqId479c2ba8444147dc8dba2cfcfa0f31a0有三个不同的实数解,求实数eqId4d2187284c5d4de29906363f7d21f60f的取值范围.
8 . 已知常数eqId41f04097a07d4d03941921a18fc42004,定义在eqId38a1a72a865d4179b3b243977e23dce4上的函数eqId92f8100c339e4bceb8f9d41e7e78dbd1
(1)当eqId9de2a41525864ea391282bfe17bd5b81时,求函数eqId144eff5c0e4649138a21f2b1b6a06907的最大值,并求出取得最大值时所有x的值;
(2)当eqIdaff6b88cfefe462d93ea6d1d1e5047a0时,设集合eqId3523c9c4e5a74b90be2f4bb006041b51eqId7746f9e6959e4b48a77c4cd0413d5cec,若eqId52b2157adc314fcd8ff39c1f2157219f,求实数m的取值范围;
(3)已知常数eqIdab3420c074bf42698f587abb97ca7e48eqId40ee634bd750497cbebc1ef9ccdd96bf,且函数eqId144eff5c0e4649138a21f2b1b6a06907eqIde80fde6f17c34d018dcda1d967cde7ab)内恰有2021个零点,求常数an的值.
10 . 函数eqIdb344ffb30fe2492ca79dbe420b556278的零点为eqIdddd35c5d043e4ebeac32a99367053c68,则实数eqId70a27b6ddf6b478285353abb3b1f3741的值为(   )
A.eqIdc052ddfbd4524f67a79e0e77c2e5656aB.eqId5c1c12d4b3ba4aaab6267324ae66c81eC.eqId49b7b111d23b44a9990c2312dc3b7ed9D.eqIdfcc58431683b452ca65d1d9977a280bd
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