2020年河南中考公益线上大联考数学试题
河南
九年级
阶段练习
2020-04-10
344次
整体难度:
容易
考查范围:
数与式、图形的变化、图形的性质、方程与不等式、统计与概率、函数
一、单选题 添加题型下试题
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 用科学记数法表示绝对值小于1的数解读
![](https://img.xkw.com/dksih/QBM/2020/3/31/2431617895243776/2432862094884864/STEM/8dae25c4e63c46479254681b712a231a.png?resizew=126)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 判断简单几何体的三视图解读
A.![]() | B.![]() |
C.![]() | D.![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c786980d7b54e07ee99969794e5f0597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
![](https://img.xkw.com/dksih/QBM/2020/4/5/2435072021962752/2435558219685888/STEM/946daf85-7877-4836-8be9-f85ea1345420.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 根据平行线的性质求角的度数解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd65f043bb558f164a61227f4a667997.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
【知识点】 一元二次方程的定义解读 根据一元二次方程根的情况求参数解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30edce0fb4f3ac3732d6443291f4003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f913ac95ab819d9c6fad09e4bf332d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d4eecbbc882232d920da0adc843de10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e0720a71ea8aa5635326065439791c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4129b68c6565c79b99971c937f2d4a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e10b8a7de9c041f16aa1f6f670024b6b.png)
A.方差是0 | B.众数是![]() | C.平均数是![]() | D.中位数是![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc90fee532e50d319081d571410421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ad4c0ba3a6750537789844d0ec419d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10d461a7c0b86a2f09c2ea17f38260e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe04847f0b112bf970aebcc12d84ef9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9521effc99744da7d1445af9681a3ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619be2f77849b4300cc3f22d57989ad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2020/4/5/2435072021962752/2435558219726848/STEM/e96b0aec9b334b49967a777ce5150630.png?resizew=203)
A.![]() | B.![]() | C.8 | D.13 |
【知识点】 线段垂直平分线的判定解读 用勾股定理解三角形解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdef97a491c7c254d3208e80f7b983f.png)
![](https://img.xkw.com/dksih/QBM/2020/4/5/2435072021962752/2435558219735040/STEM/3a721d47c9774870ac2bae34667576e1.png?resizew=203)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 根据正方形的性质求线段长解读 坐标与旋转规律问题
二、填空题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee1d84a635ef3aa6a40addb6608d50b.png)
【知识点】 负整数指数幂解读 利用二次根式的性质化简解读
【知识点】 列表法或树状图法求概率解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa8cee7d2463f6f7d352e8b65f47cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f656e1d1f68954e5f06de8958f6a9310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9155d631c0413170e3b164c2212343f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460edcced5597615113c0fdc95b1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bf97f9082d7f40bc680cc2c58865309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926d2094777538ba6a70ea65d5061ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b1a5427d8ff23df0f3ec194756c84c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa8cee7d2463f6f7d352e8b65f47cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6655e2fa64a32cd12fe0279afd65d73.png)
![](https://img.xkw.com/dksih/QBM/2020/4/5/2435072021962752/2435558221963264/STEM/b1f3b80c-b880-4f77-ab0d-dea459626dbf.png)
【知识点】 相似三角形的判定与性质综合
三、解答题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14af8de7575341e02ee92cd0e33312b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1642eec556eb252de9c1ab7bb5ca90b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://img.xkw.com/dksih/QBM/2020/4/5/2435072021962752/2435558222004224/STEM/e576bd2ca11e458ba6522910ebd8d944.png?resizew=171)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6e68583821258973edf92f0abfe83bb.png)
(2)填空:
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a482b02325289de6333a6874ee56c8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/991aee752266e766ef510177e34c4d8d.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a482b02325289de6333a6874ee56c8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/169a07e8b78a6470462a51aeabcc2853.png)
销售情况扇形统计图
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/19/54c7a3f4-74b8-467f-9215-86cf439b6ae2.jpg?resizew=119)
销售情况统计表
销售时间段 | 销售数量(本) |
![]() | 16 |
![]() | ![]() |
![]() | 37 |
![]() | 12 |
![]() | 30 |
合计 | ![]() |
(1)平均每天的销售总量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
(2)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)若该书店一年的销量有32000本,请你估计
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(4)若书店决定减少成本,同时保证销量,决定在某时间段闭店,请你提出一条合理化的建议.
【知识点】 总体、个体、样本、样本容量解读 由扇形统计图求某项的百分比
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7294f5ae2a24ff42e84cd9773b2a7287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/2020/3/31/2431617895243776/2432862095065088/STEM/726c89ab105c45c59dfaf8f9d18dab7b.png?resizew=470)
【知识点】 仰角俯角问题(解直角三角形的应用)
(1)求甲、乙两种图书的单价分别是多少元?
(2)学校要求购买甲、乙两种图书共40本,且甲种图书的数量不少于乙种图书数量的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cabf0fbc1e40a2792074476454b2cf.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cabf0fbc1e40a2792074476454b2cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)下表是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
… | 0 | 2 | 3 | 4 | 5 | … | ||||||
… | … |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
(3)如图,在平面直角坐标系中,描出了以上表格中各组对应值为坐标的点,请根据描出的点,画出该函数的图象;试写出该函数的一条性质________________________________________________________.
![](https://img.xkw.com/dksih/QBM/2020/4/5/2435072021962752/2435558222127104/STEM/581ee50b-13b6-4f58-9ccd-695a921118ad.png)
(4)①当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe22d0cee40ad652466d25d9e7c9264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c057de7427e6d7c7387f384ee54fbf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe22d0cee40ad652466d25d9e7c9264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cabf0fbc1e40a2792074476454b2cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7164ddc6d81d5cb11b6dc88e18318d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05f2fe27cf0b07474439cdd823f66590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8194731b6dd208588c361c38ad9b109.png)
![](https://img.xkw.com/dksih/QBM/2020/4/5/2435072021962752/2435558222192640/STEM/e8f0b92eec04439daf43928311cb5306.png?resizew=417)
(1)观察猜想
如图1,若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7164ddc6d81d5cb11b6dc88e18318d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc5ce2e3fccc485639bbef9088c1e456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d30cee3e53e0854d0570d63ee0296f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4c865445dda4a59b6d5cb18fd74404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dafebaaf13781120dc57c277d0267c0.png)
(2)类比探究
将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460edcced5597615113c0fdc95b1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4c865445dda4a59b6d5cb18fd74404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
(3)解决问题
将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460edcced5597615113c0fdc95b1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3432d20e661779ddcefda76afcc2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbbc28a4bba6ea8c14712b923cdf8f3.png)
【知识点】 相似三角形的判定与性质综合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266c97da6fdbfbc2d06e9f480286f566.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae652daf6059ff386f99bef2210518c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce6c0e9de83f2e64ae33609fc08459d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/6f978422-a8a2-46aa-870a-b8ad69bbac30.png?resizew=221)
(1)求抛物线的解析式及点M的坐标.
(2)点P为直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
(3)若点F为直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7856b843caf384fca612ce663f21c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e67daf61531e9b99b99fc39f0a8171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1d6f46312edb9a60207ad96c680a208.png)
试卷分析
试卷题型(共 23题)
试卷难度
知识点分析
细目表分析 导出
题号 | 难度系数 | 详细知识点 | 备注 |
一、单选题 | |||
1 | 0.94 | 绝对值的意义 | |
2 | 0.85 | 用科学记数法表示绝对值小于1的数 | |
3 | 0.65 | 判断简单几何体的三视图 | |
4 | 0.85 | 幂的乘方运算 运用平方差公式进行运算 运用完全平方公式进行运算 | |
5 | 0.85 | 根据平行线的性质求角的度数 | |
6 | 0.85 | 一元二次方程的定义 根据一元二次方程根的情况求参数 | |
7 | 0.85 | 求一组数据的平均数 求中位数 求众数 求方差 | |
8 | 0.85 | y=ax²+bx+c的图象与性质 | |
9 | 0.85 | 线段垂直平分线的判定 用勾股定理解三角形 | |
10 | 0.4 | 根据正方形的性质求线段长 坐标与旋转规律问题 | |
二、填空题 | |||
11 | 0.94 | 负整数指数幂 利用二次根式的性质化简 | |
12 | 0.85 | 求不等式组的解集 求不等式组的解集 | |
13 | 0.85 | 列表法或树状图法求概率 | |
14 | 0.65 | 等边三角形的性质 求扇形面积 | |
15 | 0.4 | 相似三角形的判定与性质综合 | |
三、解答题 | |||
16 | 0.85 | 分式化简求值 | 计算题 |
17 | 0.4 | 证明四边形是菱形 切线的性质定理 | 证明题 |
18 | 0.85 | 总体、个体、样本、样本容量 由扇形统计图求某项的百分比 | 作图题 |
19 | 0.65 | 仰角俯角问题(解直角三角形的应用) | 应用题 |
20 | 0.85 | 方案问题(二元一次方程组的应用) 用一元一次不等式解决实际问题 | 问答题 |
21 | 0.65 | 根据一元二次方程根的情况求参数 用描点法画函数图象 一次函数图象平移问题 | 作图题 |
22 | 0.4 | 相似三角形的判定与性质综合 | 证明题 |
23 | 0.4 | 待定系数法求二次函数解析式 等腰三角形的性质和判定 相似三角形问题(二次函数综合) 其他问题(二次函数综合) | 问答题 |