下载文档原格式
专利名称：Body volume measurement apparatus andmethod of measuring the body volume of aperson发明人：Greg Miller申请号：US11228063申请日：20050916公开号：US20070062269A1公开日：20070322专利内容由知识产权出版社提供专利附图：摘要：An apparatus and method for measuring a volume of a person's body. The apparatus comprises a body suit having an inner layer and an outer layer which forms abody portion and a head portion. The body suit further has a cavity defined within the inner layer, the cavity having an amount of known initial volume. The apparatus further comprises a fluid assembly which is removeably connected to the body suit. The fluid assembly is configured to discharge fluid into the cavity and around the body when the body is disposed within the cavity. The fluid assembly discharges the fluid to fill the cavity from a first position to a second position, the second position having an amount of a final volume such that a difference between the known initial volume amount and the final volume amount of the second position equals the volume of the body.申请人：Greg Miller地址：St. Charles MO US国籍：US更多信息请下载全文后查看。
MeasMethod测量方法目录1 开始1.1 MEASMETHOD 的目标1.2 屏幕导向1.3 管理MEASMETHOD 文件1.3.1 启动MEASMETHOD 和创建新的测量方法1.3.2 打开和保存测量方法2 设置测量方法2.1 设置测量参数2.2 选择测量的元素2.2.1 在无标样方法2.2.2 在定量方法2.3 选择分析谱线2.4 查看和管理需要测量的谱线2.5 设置测量模式和时间2.5.1 理论知识介绍2.5.2 设置测量模式时需考虑的事项2.5.3 设置测量时间2.5.4 设置峰位测量2.5.5 设置背景测量2.5.6 设置死时间校正模式2.5.7 Scan-扫描选项的说明2.5.8 Fixed-固定选项的说明2.5.9 Optimized –优化选项的说明2.6 重校正选项索引MeasMethod1 开始1.1 MEASMETHOD 的目标MEASMETHOD保存和编辑MM文件，即定义用光谱仪测量样品时的测量参数。
这些参数包括：・光谱仪模式（vacuum-真空；vacuum with seal，真空并有真空封档，helium-氦气）・样品是否旋转・准直器面罩型号・测量模式・测量的元素及谱线・测量时间和步长・重校正样品谱线是保存在谱线库（S4-LineLibrary.fll1），并在MEASPARAMETERS 程序里编辑。
谱线由下列参数定义：X-射线管的管压、滤片、所用的准直器、分光晶体，2θ测量位置，所用的探测器、及对应的脉冲高度分析器(PHA)的窗口。
根据Siegbahn命名法则，谱线名称反映了电子的跃迁和产生（如 Fe KA1 是铁的Ka1 谱线）。
因此，同一条谱线可用于多个测量方法；可以在不同的条件（如：气氛模式、测量时间、面罩…）的测量，并可用于不同定量程序的校准。
测量条件在MEASMETHOD里定义，并补充该谱线的测量参数。
1.2 屏幕导向MEASMETHOD 屏幕包括：・标题内容有：项目说明Elements 当前方法测量的元素数Lines: Total 当前所选元素在谱线库可选的谱线总数（注意，如果没有元素被选时，也包括Compton 谱线）Total Time 如果测量是设置为Fixed，测量总时间Active 测量的谱线数Created 创建日期Last Change 最后修改・可进入6个设置选项栏。
梅里埃全自动微生物鉴定仪参数work Information Technology Company.2020YEAR设备名称:全自动微生物鉴定及药敏分析系统一、具体用途：对食品，环境中的微生物进行快速，全自动的鉴定及药物敏感性测试。
二、技术参数与性能要求：1.系统可同时处理≥30个标本，系统具有扩容功能，至少可以两台联机；2. 分析组件可对环境中和食品中的细菌进行全自动鉴定，种类包括革兰阴性菌、革兰阳性球菌、革兰氏阳性杆菌、酵母样真菌、假丝酵母类真菌、苛养菌、厌氧菌及棒状杆菌等的鉴定；3. ★分析组件可对芽孢杆菌进行全自动鉴定；4．★大于500种可鉴定细菌，鉴定结果通过美国FDA认证，细菌鉴定采用GB 推荐生化鉴定显色法，药敏检测采用比浊法，并且鉴定方法原理可在GB4789中查询（提供具体细菌库）；5．★分析组件可自动进行革兰阴性菌、革兰阳性菌、酵母样真菌、肺炎链球菌等药敏试验，以上所有药敏试验均得到美国FDA批准用于临床应用（提供FDA证明资料）；6. ★在对标本的鉴定及药敏试验过程中，无需添加任何额外附加试剂；7．快速全自动对细菌进行鉴定和药敏试验，采用实时检测系统，系统每隔15分钟对试剂卡进行一次扫描读数，一旦确认结果，可马上出报告；8．★细菌最快鉴定时间＜4个小时，平均鉴定时间不超过5小时；9．最快药敏实验时间5小时，平均药敏实验时间不大于6小时；10.★系统可同时进行鉴定和药敏实验，并且可同时上机的鉴定试剂卡种类不少于4种，可同时上机的药敏试剂卡的种类不少于6种；11.★系统自动填充悬浮液至试剂卡，自动密封拭卡，并自动将拭卡装载于设备内置读数系统/孵育系统，测试结束时可自动丢弃拭卡，操作都在仪器内部自动进行，不需要额外设备；12．卡片填充菌液后为封闭式卡片，不会造成污染；13．★鉴定卡和药敏卡必须独立包装；14.鉴定卡应至少提供3种不同试剂的SFDA注册证；15.药敏卡应至少提供5种不同试剂的SFDA注册证；16．测试完成后，经分析软件分析后得出结果并可自动打印报告，并保存结果；17．具备中文报告软件系统；18．双向联网软件，可传输报告结果；19．具有三重售后服务保证体系（国内有分支机构、本地有生产厂家办事处、销售商有专职工程师），必须提供终身售后服务支持；20．售后服务时效：有仪器故障，厂方能在4小时作出响应。
在液相中求取扩散系数的估计法
朱子系
【期刊名称】《化学世界》
【年(卷),期】1956(0)7
【摘要】在气相中求取扩散系数的估计法,已有文章介绍。
本文就现有的液相中扩散系数的估计法,综合介绍如下。
由于液体的理论至今仍未清楚,因此溶质扩散入溶剂的扩散系数,至今亦未得到正确而概括的估计公式。
在化工单元操作中,扩散过程日见重要。
【总页数】5页(P355-359)
【关键词】稀溶液;常数;数学;液相
【作者】朱子系
【作者单位】
【正文语种】中文
【中图分类】F2
【相关文献】
1.明胶凝胶水分扩散系数的数值法估计 [J], 许学勤;BROYART
Bertrand;BONAZZI Catherine
2.微溶气体在液相中分子扩散系数的测定 [J], 王忠民;陈跃华
3.层流液柱吸收法测定气体在液相中的扩散系数 [J], 王忠民
4.用液芯柱透镜快速测量液相扩散系数-折射率空间分布瞬态测量法∗ [J], 孟伟东;
孙丽存;翟影;杨瑞芬;普小云
5.基于光路补偿的数字全息干涉法测量液相扩散系数 [J], 黄子珊;林佳茂;翁佳炫;邓军灿;陈俊旭;彭力
因版权原因，仅展示原文概要，查看原文内容请购买。
专利名称：Measurement system and method formeasuring critical dimensions usingellipsometry发明人：Michaelis, Alexander,Genz, Oliver,Mantz,Ulrich申请号：EP99121197.0申请日：19991023公开号：EP1006348A1公开日：20000607专利内容由知识产权出版社提供专利附图：摘要：A system (20) for measuring surface features having form birefringence inaccordance with the present invention includes a radiation source (28) for providing radiation incident on a surface having surface features. A radiation detecting device (32) is provided for measuring characteristics of the incident radiation after being reflected from the surface features. A rotating stage (22) rotates the surface such that incident light is directed at different angles due to the rotation of the rotating stage. A processor (34) is included for processing the measured characteristics of the reflected light and correlating the characteristics to measure the surface features. A method for measuring feature sizes having form birefringence, in accordance with the present invention includes the steps of providing a surface having surface features thereon, radiating the surface features with light having a first polarization, measuring a reflected polarization of light reflected from the surface features, rotating the surface features by rotating the surface to measure the reflected polarization of the reflected light at least one new rotated position and correlating the reflected polarization to surface feature sizes.申请人：SIEMENS AKTIENGESELLSCHAFT地址：Wittelsbacherplatz 2 80333 München DE国籍：DE代理机构：Patentanwälte Westphal, Mussgnug & Partner更多信息请下载全文后查看。
聚丙烯酰胺中丙烯酰胺单体含量测量下载提示：该文档是本店铺精心编制而成的，希望大家下载后，能够帮助大家解决实际问题。
文档下载后可定制修改，请根据实际需要进行调整和使用，谢谢！本店铺为大家提供各种类型的实用资料，如教育随笔、日记赏析、句子摘抄、古诗大全、经典美文、话题作文、工作总结、词语解析、文案摘录、其他资料等等，想了解不同资料格式和写法，敬请关注！Download tips: This document is carefully compiled by this editor. I hope that after you download it, it can help you solve practical problems. The document can be customized and modified after downloading, please adjust and use it according to actual needs, thank you! In addition, this shop provides you with various types of practical materials, such as educational essays, diary appreciation, sentence excerpts, ancient poems, classic articles, topic composition, work summary, word parsing, copy excerpts, other materials and so on, want to know different data formats and writing methods, please pay attention!概述在合成聚丙烯酰胺的过程中，丙烯酰胺单体的含量是一个非常重要的指标。
Martinez语言能力测量量表（LAMT）1. 引言Martinez语言能力测量量表（LAMT）是一种用于评估个体语言能力的工具。
它旨在帮助医生、教育工作者、研究人员等专业人士了解个体在语言方面的发展和表现。
本文将介绍LAMT的背景、开发过程和应用。
2. 背景语言能力是个体在理解和使用语言方面的能力。
了解个体的语言能力对于提供个性化教育、康复、治疗等服务非常重要。
传统的语言能力评估方法存在一些局限性，如耗时、费力、主观性等。
因此，开发一种简单、客观、可靠的语言能力测量量表具有重要意义。
3. 开发过程LAMT的开发基于大量的专业知识和研究成果。
首先，研究团队进行了文献回顾，了解了已有的语言能力测量工具及其优缺点。
其次，团队设计了初步的LAMT测量指标和评分标准。
随后，对一定规模的被试进行了实地测试，并根据实际情况进行了逐步修改和完善。
最后，研究团队进行了大规模的临床试验，验证了LAMT 的可靠性和有效性。
4. 应用LAMT可以应用于多个领域，包括但不限于：- 教育领域：通过评估学生的语言能力，帮助教育工作者了解学生的研究情况，制定适当的教学策略。
- 医学领域：通过评估患者的语言能力，帮助医生进行诊断和治疗计划的制定。
- 研究领域：提供客观的语言能力数据，用于科学研究和统计分析。
5. 结论Martinez语言能力测量量表（LAMT）是一种简单、客观、可靠的语言能力评估工具。
它的开发过程经过了严谨的科学研究和临床验证。
LAMT的应用将为教育、医学和研究领域提供重要的数据支持和参考依据。
以上为Martinez语言能力测量量表（LAMT）的简要介绍。
如需详细了解LAMT，请参阅相关文献或与相关专业人士联系。
measurement的标准“Measurement”有测量、度量、衡量等意思，以下是一些常见的“measurement”的标准：
1. 准确性：测量结果应该尽可能准确地反映被测量的对象。
2. 重复性：相同条件下进行多次测量，测量结果应该是可重复的。
3. 可靠性：测量结果应该是可靠的，即不受随机误差和系统误差的影响。
4. 精度：测量结果应该具有足够的精度，以满足特定的应用需求。
5. 可追溯性：测量结果应该可以追溯到一个已知的标准或基准。
6. 可比性：不同的测量结果应该是可比的，即可以进行比较和分析。
这些标准可以帮助确保测量结果的准确性、可靠性和有效性，从而为科学研究、工程设计、质量控制等领域提供可靠的依据。
核酸测量范围：?0.4～3750ng/μl(7500,15000可选,dsDNA)蛋白质测量范围：0.01～100mg/ml(200,400可选,BSA)样品测量时间：???小于5秒仪器外形尺寸：???24cm×21cm×11cm仪器重量：???????1.92kg数据统计软件方便容易掌握！德国IMPLEN 超微量分光光度计1、NP80、NP80?Touch、NP80Mobile----同时具备微量和常规分光光度计功能。
产品特点：(1)、具备世界上最低的上样量，最低可达0.3微升。
(2)、固定光程原理：0.67mm和0.07mm,准确度好，重复性高。
(3)、超宽的检测范围：dsDNA:1-16500ng/ul。
(4)、终身无需校正——密闭的光路系统和固定的部件保证仪器无需再校正和维修，无耗材，无任何后期费用。
(5)、专利的压缩技术，可检测易挥发溶剂的样品，以及表面张力大的样品。
(6)、一机两用，既可用微量，又可用常规比色皿。
自带电动滑盖防尘比色皿插槽，并可进行37℃温度控制。
(7)、自带涡旋混匀器，方便用户上样之前混匀样品。
(8)、带内置电池，满足移动性应用需求（仅NP80-Mobile具备）(9)、超大触摸屏，方便用户使用。
内置8GB存储空间，方便用户存储数据（NP80?Touch、NP80Mobile具备）(10)、仪器可与智能手机（安卓手机或者苹果手机）、平板电脑、笔记本电脑、台式电脑（Win7或者Win8)进行无线连接，控制仪器并进行测量样品操作。
(11)、内置多种测量方法，完全满足对核酸、蛋白、菌液以及其他种类样品的测量。
2、N60、N60?Touch、N60Mobile—性能卓越的微量分光光度计功能。
产品特点：(1)、具备世界上最低的上样量，最低可达0.3微升。
(2)、固定光程原理：0.67mm和0.07mm,准确度好，重复性高。
(3)、超宽的检测范围：dsDNA:1-16500ng/ul。
measurementMeasurementIntroductionMeasurement is a fundamental concept in science and everyday life. It is the process of assigning numbers to objects or events based on certain rules or standards. This allows us to quantify and compare different phenomena, enabling us to make informed decisions and understand the world around us. In this document, we will explore the importance of measurement, different types of measurement scales, and the challenges associated with accurate and precise measurements.Importance of MeasurementMeasurement plays a crucial role in various fields, including science, engineering, medicine, economics, and social sciences. It provides a common language for communication and allows us to make predictions, evaluate hypotheses, and test theories. Accurate measurements are essential for quality control, ensuring the safety and efficacy of products and processes. In addition, measurements are used in research to collect data, perform statistical analysis, and draw meaningful conclusions.Types of Measurement ScalesThere are four main types of measurement scales: nominal, ordinal, interval, and ratio. Each scale has its own characteristics and implications for data analysis.1. Nominal Scale: This is the simplest form of measurement scale, where values are used to label or categorize objects or events without any quantitative significance. Examples include gender (male/female), marital status(single/married/divorced), and blood types (A/B/O). Nominal scales are usually used for identification purposes and do not allow for mathematical operations.2. Ordinal Scale: In an ordinal scale, values not only categorize but also provide a relative order or ranking to the objects or events being measured. However, the differences between the values are not precisely quantifiable. For example, a survey asking respondents to rate a product or service on a scale of 1 to 5 (1 = very poor, 5 = excellent) uses an ordinal scale. While it is possible to determine that one rating is higher than the other, the differences between the ratings may not be equal or meaningful.3. Interval Scale: An interval scale has all the characteristics of an ordinal scale but also has equal intervals between the values. This means that the differences between the values are quantifiable and meaningful. A classic example of an interval scale is the Celsius temperature scale, where the differences between each degree are equal. However, an interval scale does not have a true zero point, as zero does not represent the absence of the measured attribute. For instance, zero degrees Celsius does not mean the absence of temperature.4. Ratio Scale: The ratio scale is the most sophisticated type of measurement scale. It has all the features of an interval scale but also has a true zero point, which represents the absence of the measured attribute. Examples of ratio scales include height, weight, time, and distance. In ratio scales, ratios are meaningful, and mathematical operations such as addition, subtraction, multiplication, and division can be applied to the measured values.Challenges in MeasurementWhile measurement is crucial, obtaining accurate and precise measurements can be challenging due to various factors. Some common challenges include:1. Instrumentation: The accuracy and precision of measurement instruments play a significant role in obtaining reliable measurements. Using faulty or outdated equipment can lead to inaccurate results. Regular calibration and maintenance of instruments are necessary to ensure their accuracy.2. Human Error: Human error can introduce inaccuracies in measurements. Factors such as perceptual limitations, bias, and insufficient training can affect the reliability of measurements. Adequate training, careful observation, and following standardized procedures can help minimize human errors.3. Environmental Conditions: The environment in which measurements are taken can also influence accuracy. Variables such as temperature, humidity, and pressure can affect the behavior of objects or substances being measured. Controlling and monitoring environmental conditions can help mitigate these effects.4. Sampling Bias: In research, obtaining representative samples is crucial for generalizing results to larger populations. However, sampling bias can occur when the selected sample does not accurately represent the populationbeing studied. This can introduce errors and affect the validity of conclusions drawn from the measurements.ConclusionMeasurement is vital for understanding and quantifying the world around us. Different types of measurement scales allow us to categorize, rank, and quantify objects or events according to their attributes. However, obtaining accurate and precise measurements can be challenging due to various factors such as instrumentation, human error, environmental conditions, and sampling bias. Awareness of these challenges and implementing appropriate measures can help improve the quality and reliability of measurements.。
michaelis-menten动力学参数Michaelis-Menten动力学是一种用于描述酶催化反应速率的经典模型。
它被广泛应用于生物学和药物研究领域，具有重要的理论和实践意义。
本文将详细介绍Michaelis-Menten动力学参数的定义、意义和常见应用。
Michaelis-Menten动力学模型的基本假设是酶与底物形成酶底物复合物，然后进行反应生成产物。
在模型中，酶底物复合物的形成速率与酶底物复合物的解离速率相等。
酶底物复合物的解离速率被称为酶的催化速率。
Michaelis-Menten动力学模型可以用以下方程表示：V = (Vmax * [S]) / (Km + [S])其中，V表示反应速率，[S]表示底物浓度，Vmax表示最大反应速率，Km表示米氏常数。
米氏常数是两个非常重要的动力学参数之一，它描述了底物在酶底物复合物中的平均停留时间，具体来说，它是当反应速率达到Vmax一半时的底物浓度。
米氏常数越小，底物与酶的结合越紧密，酶对底物的亲和力越高。
米氏常数的单位与底物浓度的单位相同。
例如，如果底物浓度用mM表示，米氏常数也以mM表示。
当底物浓度远远小于米氏常数时，可以近似地认为底物浓度是常量，反应速率与底物浓度成正比。
而当底物浓度接近或高于米氏常数时，底物与酶的结合就变得重要，反应速率在不断增大，但增速变慢，直到达到最大值Vmax。
米氏常数的值与酶底物的亲和力有关，通常情况下，亲和力较高的酶的米氏常数较小。
米氏常数还可以用于比较不同酶对同一底物的亲和力。
当两个酶的Vmax相同，而Km不同时，米氏常数较小的酶对底物的亲和力较高。
在实际实验中，可以通过测定不同底物浓度下的酶反应速率来确定米氏常数。
通过绘制酶反应速率与底物浓度的关系曲线，可得到一个双曲线形状的图像，横坐标是[S]/Km，纵坐标是V/Vmax。
在这个图像中，当[S]非常小时，就可以近似认为V=Vmax，因此，双曲线的渐近线是V/Vmax=1、当[S]远远大于Km时，酶的饱和状态已经达到，酶反应速率不再随着底物浓度增加而增加，因此，双曲线的渐近线是V/Vmax=0。
Product Name :Product Type or Synonym : Biological IndicatorProduct Description: Biological indicator for monitoring the efficacy of sterilization processes. Device consists of a sealed glass snap-top ampoule and contains liquid media, pH indicator and bacterial spores.Manufactured by : Mesa Laboratories, Inc.625 Zoot WayBozeman, MT 59718 USA(303) 987-8000Emergency Phone :(303) 987-8000 The product contains glass and liquid which, upon accident, may enter the skin or eye causing minor injury and/or irritation.Growth medium Composition: Soybean casein digest, manufactured by B-D, pH indicator and proprietary formulation. Non-hazardous.Biological Information: Bacterial spores obtained from traceable source. Naturally occurring. Non-pathogenic.Skin Contact : under normal circumstances, contact with the product should not result in skin irritation. If liquid mediacomes into contact with skin, wash with soap and water. If the snap-top ampoule is crushed, glass splinters may enter the hands or fingers. Remove splinters with tweezers and apply disinfectant to cut areas.Eye Contact : If liquid media enters the eye, flush with water. If the snap-top ampoule is crushed, glass splinters may enter the eye. Do not rub eye. Flush with water. If glass cannot be dislodged with water, medical assistance may be required.Inhalation : Not a likely route of exposure.Ingestion : Not a likely route of exposure.NOTE: There are no known health hazards from exposure to the microorganisms contained in this product.N/AClean and disinfect area of spill.Store at 2-8°C. Protect from light. Keep away from sterilants as they may injure the microorganisms contained in the product, reducing its functionality.Australia & New Zealand Supplier Getinge Australia Pty Ltd Getinge Australia (NZ Branch)Lv.7/11Help Street 600 Great South Road, Lv.2/Bldng B Chatswood NSW 2067 Ellersie AucklandAUS: +61 2 8014 4558 NZ: +64 9 929 1483Exposure Limits: N/ASpecific Engineering Controls: N/APersonal Protective Equipment: Appropriate gloves and safety glasses should be worn when removing this product from sterilizer, snapping the top of ampoule or cleaning spilled media/broken glass.Odor and Appearance: The MagnaAmp Biological Indicator consists of a proprietary media formulation and bacterial spores. This product contains no hazardous ingredients or pathogenic organisms.Specific Gravity: N/AEvaporation Rate: N/ApH: 6.48 – 6.90Vapor Density: N/ABoiling Point: N/ACoefficient of Water/Oil Distribution: N/AOdor Threshold: N/AVapor Pressure: N/AFreezing Point: N/ASolubility in Water: N/AChemically Stable: YesIncompatibility: N/AReactivity: N/AHazardous Decomposition Products: N/AAffects of Acute Exposure: N/AAffects of Chronic Exposure: N/AIrritancy of Product: N/ASkin Sensitization: N/ARespiratory Sensitization: N/ACarcinogenicity: N/AReproductive Toxicity: N/ATeratogenicity: N/AEmbryotoxicity: N/AMutagenicity: N/ASynergistic Products: N/AThis product contains no known ecological hazards. The microorganisms it contains are non-pathogenic and found in nature. The chemicals it contains are non-toxic biological nutrients and a non-toxic pH sensitive dye.Autoclave at 121°C for 30 minutes prior to disposal, or incinerate.The product is not classified as a hazardous chemical and is not subject to regulations for transport of dangerous goods.N/ASee instructions for use delivered in each box of product.Prepared By:Mesa Laboratories, Inc.625 Zoot WayBozeman, MT 59718 USA(303) 987-8000The information contained in this Safety Data Sheet is furnished without warranty, expressed or implied, except that it is accurate to the best knowledge of Mesa Labs. The information is not all inclusive and shall be used only as a guide. Mesa Labs assumes no legal responsibility for use or reliance upon these data.Last Review Date: 01/08/2023。
山西省运城市2024高三冲刺（高考数学）部编版测试(自测卷)完整试卷一、单选题：本题共8小题，每小题5分，共40分 (共8题)第(1)题设集合，集合，则（）A．B．C．D．第(2)题已知球与圆台的上下底面和侧面都相切．若圆台的侧面积为；上、下底面的面积之比为，则球的表面积为（）．A．B．C．D．第(3)题点在圆上，点，则的最大值为（）A．3B．4C．5D．6第(4)题已知复数的共轭复数为，若的实部为1，且满足，则的虚部为（）A．B．C．－1D．1第(5)题已知不等式e x﹣x﹣1＞m[x﹣ln（x+1）]对一切正数x都成立，则实数m的取值范围是（）A．B．C．（﹣∞，1]D．（﹣∞，e]第(6)题设是虚数单位，复数，则复数在复平面内对应的点位于（）A．第一象限B．第二象限C．第三象限D．第四象限第(7)题已知，则（）A．3B．C．或0D．3或0第(8)题Malthus模型是一种重要的数学模型．某研究人员在研究一种细菌繁殖数量与时间t关系时，得到的Malthus模型是，其中是时刻的细菌数量，e为自然对数的底数．若t时刻细菌数量是时刻细菌数量的6.3倍，则t约为（）．（）A．2B．3C．4D．5二、多选题：本题共3小题，每小题6分，共18分 (共3题)第(1)题数列的前项和为，若，，则下列结论正确的是（）A．B．C．为递增数列D．为周期数列第(2)题下表是某地从2019年至2023年能源消费总量近似值（单位：千万吨标准煤）的数据表：年份20192020202120222023年份代号12345能源消费总量近似值44.244.646.247.850.8（单位：千万吨标准煤）以为解释变量，为响应变量，若以为回归方程，则决定系数0.9298，若以为回归方程，则，则下面结论中正确的有（）A．变量和变量的样本相关系数为正数B．比的拟合效果好C．由回归方程可准确预测2024年的能源消费总量D．第(3)题我们知道，函数的图象关于坐标原点成中心对称图形的充要条件是函数为奇函数．有同学发现可以将其推广为：函数的图象关于点成中心对称图形的充要条件是函数为奇函数．已知函数，则下列结论正确的有（）A．函数的值域为B．函数的图象关于点成中心对称图形C．函数的导函数的图象关于直线对称D．若函数满足为奇函数，且其图象与函数的图象有2024个交点，记为，则三、填空题：本题共3小题，每小题5分，共15分 (共3题)第(1)题二项式的展开式中，常数项是_____．第(2)题在的展开式中，各项系数的和为，其二项式系数之和为，若64是与的等比中项，则__________．第(3)题已知，从这四个数中任取一个数，使函数有两不相等的实数根的概率为__________.四、解答题：本题共5小题，每小题15分，最后一题17分，共77分 (共5题)第(1)题已知数列的前项和为，，．（1）求数列的通项公式；（2）若，，求证：．第(2)题平面直角坐标系中，已知F为椭圆的右焦点，且，过F作两条互相垂直的直线交椭圆分别于A、B与C、D，以F为极点，轴正半轴为极轴建立极坐标系.（1）求椭圆的极坐标方程与的代数表达式；（2）求的取值范围.第(3)题在中，角，，的对边分别为，，．已知．（1）求；（2）若为边上一点，且，，求．第(4)题已知函数.（1）若函数在上单调递增，求实数的取值范围；（2）若函数有两个不同的零点.（ⅰ）求实数的取值范围；（ⅱ）求证：.（其中为的极小值点）第(5)题如图，三棱台，在边上，平面平面，，，，，．(1)证明：；(2)若，求与平面所成角的正弦值．。
