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1 . 设偶函数eqId10852d81bc184140a7780250c82c6929是定义在eqId3abaaedd36204e2cacb3fa4073cf99f5上的周期为2的函数,当eqId2edfef78e0424dcaae778d0f7afd528e时,eqId943a627e918f40b7bb0ec4fc2e6db8df.记函数eqId3cde746d8d1d40d699b2bd09dcb61a64的零点个数为eqIda4be99d332154d13a4a6ed1ff6444fe7,若eqId4538e20d4bfe444e8abad975978f1db2eqIddb2434488713493c848a36c620dcdcaf上有且仅有eqIda4be99d332154d13a4a6ed1ff6444fe7个不同的零点,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围为______
填空题 | 较难(0.4) | 2021·大名县第一中学高二月考
2 . 已知函数eqId4a6633227ad846ad8fa7ea4f604d96fe,函数eqIdd077167f12154199a0f30bcefb739eb5满足以下三点条件:①定义域为eqId7dcd2312d0bf4bb1befdfcc170e45791;②对任意eqId6fc94f6e181444c6b809fb393eb8fae6,有eqIdbf283353c5eb4c68871ef8fa92661cea;③当eqIdfba94a39b9854fcdbb4817cc0d221998时,eqId0b6b04eaa09245a6a9d9667c0cd6b488则函数eqId05237c2063b74d4eb5f3ba2c9cb8f1dc在区间eqId4998486d68f441baa3fc66ef8d45c2dd上零点的个数为__________个.
填空题 | 较难(0.4) | 2021·山东高考真题
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3 . 集合eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6eqId51d8a094ee99497ea839941c67407d85都是非空集合,现规定如下运算:eqId83576953be9347d0bf0568f4e0423ca4eqId64681c32c7a6477481738ac46b3def44eqIdf4a59896cc4048f8b5d0f6fe3e3eece3.假设集合eqIdb7a562743ea24e53b48045a5bb108d21eqId6e39edab81394a7586e868d015cb8094eqId7a5da746dc1e4db09eb350c550284197,其中实数eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cbaeqId0beafc0779aa41fdb343d52e98143a82eqIdf035b8f27d4645bb9f6a66f4a3f51918eqIdf49c69717cd149e8be83c438ee90cb66满足:(1)eqId3bc166368ff1453996dab191171f0950eqId75df190f9190422ca6f512f18ef9d53aeqId9df90f6a418648d7a64f23973c91c877;(2)eqId15cb03f08faa4caa857f5e3f98700d68;(3)eqIde39918e17fcb4d069a88a16d0dc66b3a.计算eqIdc197ff23c97940f5a61dd87961bedb89____________________________________
4 . 已知函数eqIda3d82dcc4db54774b6cb2ac8bf6ff2a1eqId37303db52eae469a99849374b5331b25时,不等式eqIdf51dc653076e4ead86e315f1232988f5的解集是______;若关于eqIda9cd3f94eb8045438f75e9daccfa7200的方程eqId16a8bfd41a104ff19645bf4ce2e05436恰有三个实数解,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是______
5 . 已知函数eqId0e57763b2ea243b0806131bd37e44285,若函数eqId56447e9cce104770b9ec99b1bab8c2e9有三个不同的零点eqIde7c834d5323640b5b9942028e1d061b9,则eqId46298636fe9043489ff6258d9e3f7988的取值范围是(   )
A.eqId94dce6086b7b49ffb2f89848940b4758B.eqId584bc5a6b81c41a0824b4f676daf3a4eC.eqId7c2c9f59793745998e6ef85fc5980314D.eqIdb8e8600f833744fe84b0aa0a138cf8e8
6 . 已知函数eqId3c760edb299749c6bd34958c78779207
(1)当eqId24c04f97e1964d369aaf5c738513d5dc时,求满足eqId91df498cf08c484c91b07b3d2185686beqIda9cd3f94eb8045438f75e9daccfa7200值;
(2)当eqId7fa00d9e89d144858b58ced60919b1b3时,
①存在eqId147167b0232945c4af2c2adf04403c0d,不等式eqIdb4b309553b3b4ecb90932df32247c897有解,求eqId4d2187284c5d4de29906363f7d21f60f的取值范围;
②若函数eqId28c4c21271884dfeac29ce0222782376满足eqIde1ac78cdaefc424cb6dacf320b38532e,若对任意eqId6fc94f6e181444c6b809fb393eb8fae6,不等式eqId35aabb42aa4e4c83b808295d9ce66792恒成立,求实数eqIda4be99d332154d13a4a6ed1ff6444fe7的最大值;
7 . 设eqId10852d81bc184140a7780250c82c6929是定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的偶函数,对任意的eqId6fc94f6e181444c6b809fb393eb8fae6,都有eqId6669189af3f548b2a912da8aa57db898,且当eqIdc23b4fdab0754535abc92ac05168e073时,eqId6f829f2c94de44cf9bf81bd8406e43cf.若在区间eqId0c9f00bc18ad4cca8126982bc93dc4f4内关于eqIda9cd3f94eb8045438f75e9daccfa7200的方程eqIdb9a0710b85824f58adb9b9140b481fac恰有eqId8898c1dc81824f3098bbeae74e8f11fd个不同的实数根,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是(   )
A.eqId6eb67e1afd9c4077aa0d792924c5a21aB.eqIdcb79cfbd0e8a43b49fc80ab6ff77de1c
C.eqId59064e807ec241eca06a61e0ea6882a8D.eqIda8cefae4538f4c9b904b4491ca9f377d