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Question 1 - 95528

An investor purchases a stock for $40 a share and simultaneously sells a call option on the stock with an exercise price of $42 for a premium of $3/share. Ignoring dividends and transactions cost, what is the maximum profit that the writer of this covered call can earn if the position is held to expiration?

A)$3.

B)$5.

C)$2.

Question 2 - 95750

Which of the following is least likely a characteristic of futures contracts? Futures contracts:

A)require weekly settlement of gains and losses.

B)are traded in an active secondary market.

C)are backed by the clearinghouse.

Question 3 - 95644

Which of the following is least likely one of the conditions that must be met for a trade to be considered an arbitrage?

A)There is no risk.

B)There are no commissions.

C)There is no initial investment.

Question 4 - 95640

A legally binding promise to buy 140 oz. of gold two months from now at a price agreed upon today is a(n):

A)hedge.

B)take-or-pay contract.

C)forward commitment.

Question 5 - 95371

Which of the following statements concerning an American-style option is least accurate?

Question 6 - 95430

Which statement best reflects the risk exposure of an option buyer?

Question 7 - 95400

For a European call option X = 25 and a European call option X = 30 on the same stock with the same time to expiration it is true that, when the 30 call is at- or in-the-money, the strongest statement we can make is the:

Question 8 - 95431

Given the covered call option diagram below and the following information, what are the dollar values for points X and Y? The market price of the stock is $70, the strike price of the call is $80, and the call premium is $5.

A)It allows the holder the right to exercise before maturity of the option.

B)They are only traded in the U.S.

C)The predominant option type is American-style, rather than European-style.

A)Unlimited risk.

B)No risk.

C)Limited risk.

A)30 call is worth at least as much as the 25 call.

B)value of the 25 call is greater than or equal to the value of the 30 call.

value of the 25 call is greater than the value of the 30 call.

Point X Point Y

A)$80$5

B)$75$15

C)$80$15

Question 9 - 95641

Typically, forward commitments are made with respect to all the following EXCEPT:

A)inflation.

B)equities.

C)bonds.

Question 10 - 95784

Which of the following is least likely a characteristic of London Interbank Offered Rate (LIBOR)?

A)Adjusted daily.

B)Set by the European Central Bank.

C)Paid on loans denominated in U.S. dollars.

Question 11 - 95703

An out-of-the-money put and an in-the-money call are defined as:

Put Call

A)strike price > market price market price > strike price

B)market price > strike price strike price > market price

C)market price > strike price market price > strike price

Question 12 - 95298

Given the payoff diagram shown below of an option combined with a long position in a stock, which of the following statements most accurately describes the profit or loss potential to the holder of the combined position?

A)The maximum profit on the long call is unlimited.

B)The maximum profit on the short put is $2.

C)The maximum loss on the long put is its cost.

Question 13 - 95303

An option to buy Mexican pesos is:

A)an exchange rate option.

B)a currency option.

C)a foreign option.

Question 14 - 95404

The following value diagram illustrates a:

Question 15 - 95319

An investor bought a futures contract covering 100,000 Mexican Pesos at 0.08196 and deposited margin of $320. The following day the contract settlement price was 0.08201. The new margin balance in the account is:

Question 16 - 95734

Which of the following relationships between arbitrage and market efficiency is least accurate?

Question 17 - 95360

Most deliverable futures contracts are settled by:

Question 18 - 95567

Consider a currency swap in which Party A pays 180-day London Interbank Offered Rate on $1,000,000 and Party B pays the Japanese yen riskless rate on 130,000,000 yen. Which of the following statements regarding the terms required at the initiation of the swap is TRUE ?

Question 19 - 95460

A)short put option.

B)long put option.

C)short call option.

A)$320.

B)$325.

C)$314.

A)Market efficiency refers to the low cost of trading derivatives because of the lower expense to traders.B)The concept of rationally priced financial instruments preventing arbitrage opportunities is the basis behind the no-arbitrage principle.

C)Investors acting on arbitrage opportunities help keep markets efficient.

A)delivery of the asset at contract expiration.

B)a cash payment at expiration.

C)an offsetting trade.

A)An exchange of principal amounts is not required at the initiation of the swap.

B)Party A must pay 130,000,000 yen and receive $1,000,000.

C)Party A must pay $1,000,000 and receive 130,000,000 yen.

Donner Foliette holds stock in Hamilton Properties, which is currently trading at $25.70 per share. On the advice of this investment advisor, he conducts a covered call transaction at a strike price of $30 and at a premium of $3.50. The advisor drew the following graph to help explain the transaction.

Which of the following statements about this transaction is least accurate?

Question 20 - 95043

For a futures trade:

Question 21 - 95415

Using put-call parity, it can be shown that a synthetic European put can be created by a portfolio that is:

Question 22 - 95305

Prior to contract expiration the short in a futures contract can avoid futures exposure by:

A)Foliette believes the stock will appreciate significantly in the near future.

B)The call buyer paid $3.50 for the right to any gain above $30.

C)If the stock price falls to $23, Foliette will gain $0.80 per share.

A)the buyer pays the bid price; the seller receives the ask price.

B)the seller receives the bid price; the buyer pays the ask price.

C)a single price is determined by supply and demand.

short the stock, long the call, and long a pure discount bond that pays the exercise price at option

expiration.

B)short the stock, long the call, and short a pure discount bond that pays the exercise price at option expiration.

C)long the stock, short the call, and short a pure discount bond that pays the exercise price at option expiration.A)using an exchange-for-physicals.

Question 23 - 95796

All of the following are typically end users of forward contracts EXCEPT :

Question 24 - 95495

A forward contract that must be settled by a sale of an asset by one party to the other party is termed a:

Question 25 - 95048

It is April 15, and a trader is entered into a short position in two soybean meal futures contracts. The contracts expire on August 15, and call for the delivery of 100 tons of soybean meal each. Further, because this is a futures position, it requires the posting of a $3,000 initial margin and a $1,500 maintenance margin per contract. For simplicity, however, assume that the account is marked to market on a monthly basis. Assume the following represent the contract delivery prices (in dollars per ton) that prevail on each settlement date:

Part 1)

What is the equity value of the margin account on the May 15 settlement date, including any additional equity that is required to meet a margin call?

Part 2)

Based on the May 15 settlement date, which of the following is most accurate?

B)entering into a reversing trade.

C)paying a cash settlement amount.

A)non-profit institutions.

B)governmental units.

C)a forwards dealer.

A)deliverable forward contract.

B)take-and-pay contract.

C)physicals-only contract.

April 15

(initiation)

173.00May 15

179.75June 15

189.00July 15

182.50August 15

(delivery)174.25

A)$1,350.

B)$4,650.

C)$2,300.Since the equity value of the margin account is above the initial margin, the trader can withdraw

Question 26 - 95576

The term exchange of borrowings refers to:

Question 27 - 95467

George Mote owns stock in IBM currently valued at $112 per share. Mote writes a call option on IBM with an exercise price of $120. The call option is sold for $1.80. At expiration, the price of IBM is $115. What is Mote’s profit (or loss) from his covered call strategy? Mote:

Question 28 - 95485

American options are worth no less than European options with the same maturity, exercise price, and underlying stock because:

Question 29 - 95526

The process that ensures that two securities positions with identical future payoffs, regardless of future events, will have the same price is called:

A)$1,350.

B)Since the equity value of the margin account is below the maintenance margin, a variation margin is called to restore the equity value of the account to it's initial level.

C)No margin call or disbursement occurs.

A)swaptions.

B)currency swaps.

C)interest rate swaps.

A)gained $3.00.

B)lost $3.20.

C)gained $4.80.

A)both of these choices are correct.

B)American options can be exercised before maturity, while European options can be exercised only at maturity.

C)purchasers of American options receive stock dividends, while purchasers of European options do not.A)exchange parity.

B)the law of one price.

C)arbitrage.

Question 30 - 95374

Which of the following statements about uncovered call options is least accurate?

Question 31 - 95642

Which of the following statements about forward and future contracts is least accurate?

Question 32 - 95412

Buying an interest-rate cap and selling an interest-rate floor is equivalent to:

Question 33 - 95649

Which of the following is most accurate regarding derivatives?

Question 34 - 95631

Which of the following is NOT considered a reason for using the swaps market? To:

A)The loss potential to the writer is unlimited.

B)The profit potential to the holder is unlimited.

C)The most the writer can make is the premium plus the difference between the exercise price (X) and the stock price (S).

The primary difference between forwards and futures is that only futures are considered financial

derivatives.

B)A predetermined price to be paid for a good is a necessary requirement in the terms of a forward contract.

C)A future requires the contract purchaser to receive delivery of the good at a specified time.A)buying a series of interest-rate puts and selling a series of interest rate calls.

B)buying a series of interest-rate puts and calls.

C)buying a series of interest-rate calls and selling a series of interest-rate puts.

A)Exchange-traded derivatives are created and traded by dealers in a market with no central location.

B)Derivatives have no default risk.

C)Derivative values are based on the value of another security, index, or rate.

A)reduce transactions costs.

B)exploit market inefficiencies.

C)maintain privacy.

Question 35 - 95364

A European option can be exercised by:

A)its owner, anytime during the term of the contract.

B)either party, at contract expiration.

C)its owner, only at the expiration of the contract.

Question 36 - 95770

Eurodollar time deposits are:

A)priced at a discount.

B)denominated in U.S. dollars (USD).

C)actively traded in the secondary market.

Question 37 - 95513

Consider a call option expiring in 110 days on a non-dividend-paying stock trading at 27 when the risk-free rate is 6%. The lower bound for a call option with an exercise price of 25 is:

A)$2.00.

B)$1.97.

C)$2.44.

Question 38 - 94993

A similarity of margin accounts for both equities and futures is that for both:

A)interest is charged on the margin loan balance.

B)the value of the security is the collateral for the loan.

C)additional payment is required if margin falls below the maintenance margin.

Question 39 - 95540

Consider a 1-year quarterly-pay $1,000,000 equity swap based on 90-day London Interbank Offered Rate (LIBOR) and an index return. Current LIBOR is 3.0% and the index is at 840. Below are the index level and LIBOR at each of the four settlement dates on the swap.

Q1 Q2 Q3 Q4

LIBOR 3.2% 3.0% 3.4% 3.9%

Index 881 850 892.5 900

At the second settlement date, the equity-return payer in the swap will:

Question 40 - 95617

Which of the following statements is TRUE concerning the above diagram? Counterparty:

Question 41 - 95765

Which of the following statements regarding Eurodollar time deposits is FALSE ?

Question 42 - 95753

A derivative security:

Question 43 - 95728

One reason that criticism has been leveled at derivatives and derivatives markets is that:

A)receive $42,687.

B)receive $43,187.

receive $21,187.

A)A will gain in the swap when interest rates increase.

B)B pays a fixed rate to counterparty A.

C)B will gain in the swap when interest rates increase.

A)Rates are quoted as an add-on yield.

B)They are available in Switzerland.

C)Sometimes the best rates are available in New York City.

A)is one that is based on the value of another security.

B)is like a callable bond.

C)has a value dependent on the shape of the yield curve.

A)derivatives have too much default risk.

B)derivatives expire.

C)they are complex instruments and sometimes hard to understand.

Question 44 - 95637

Which of the following is the best interpretation of the no-arbitrage principle?

A)There is no way you can find an opportunity to make a profit.

B)There is no free money.

C)The information flow is quick in the financial market.

Question 45 - 95447

Which of the following characteristics about swaps is least accurate? Swaps:

A)are highly regulated.

B)have no active secondary market.

C)are custom instruments.

Question 46 - 95586

XYZ, Inc. has entered into a "plain-vanilla" interest rate swap on $5,000,000 notional principal. XYZ company pays a fixed rate of 8.5% on payments that occur at 180-day intervals. Platteville Investments, a swap broker, negotiates with another firm, SSP, to take the receive-fixed side of the swap. The floating rate payment is based on LIBOR (currently at 7.2%). At the time of the next payment (due in exactly 180 days), XYZ company will:

A)pay the dealer net payments of $65,000.

B)receive net payments of $32,500.

C)pay the dealer net payments of $32,500.

Question 47 - 95554

An option’s intrinsic value is equal to the amount the option is:

A)in the money, and the time value is the intrinsic value minus the market value.

B)in the money, and the time value is the market value minus the intrinsic value.

C)out of the money, and the time value is the market value minus the intrinsic value.

Question 48 - 95405

A covered call position is equivalent to:

Question 49 - 95066

A currency forward contract:

Question 50 - 95523

A put on Stock X with a strike price of $40 is priced at $3.00 per share; while a call with a strike price of $40 is priced at $4.50. What is the maximum per share loss to the writer of the uncovered put and the maximum per share gain to the writer of the uncovered call?

Question 51 - 95630

A put option has a strike price of $65, and the stock price is $39 at expiration. The expiration day value of the put option is:

Question 52 - 95621

Which of the following statements about the early exercise of an option is least accurate? For an American:

A)owning the stock and a long call.

B)owning the stock and a long put.

C)a short put.

A)requires a payment at settlement based on London Interbank Offered Rate.

B)is priced using the future interest rate on a foreign currency.

C)can be a deliverable contract.

Maximum Loss to Put Writer

Maximum Gain to Call Writer A)

$40.00$4.50B)

$37.00$4.50C)$37.00$35.50

A)$65.

B)$26.

C)$0.

A)put option on an asset with no cash flows, early exercise is sometimes optimal.

B)call option, on an asset with no cash flows, early exercise can be profitable if the option is far in the money.

C)call option on an asset with positive cash flows, early exercise is sometimes profitable.

Question 53 - 95392

For two European put options that differ only in their time to expiration, which of the following is most accurate? The longer-term option:

Question 54 - 95830

The forward contract price of a coupon-bearing bond is typically quoted as:

Question 55 - 95293

Which of the following statements about closing a futures position is least accurate?

Question 56 - 95331

The payoff of a call option on a stock at expiration is equal to:

Question 57 - 95280

Which of the following statements regarding futures contracts is least accurate?

A)can be worth less than the shorter-term option.

B)can be worth more than the shorter-term option.

C)can be worth at least as much as the shorter-term option.

A)a discount to the face value.

B)the bond dollar-price plus accrued interest as of the settlement date.

C)a yield to maturity at the settlement date.

A)Closing a position through delivery refers exclusively to the physical delivery of goods.

B)Few futures positions are settled by delivery of cash or assets.

C)Except for exchange for physicals (EFP) transactions, futures contracts must be closed on the exchange floor.

A)the maximum of zero and the stock price minus the exercise price.

B)the minimum of zero and the stock price minus the exercise price.

C)the maximum of zero and the exercise price minus the stock price.

A)The exchange sets the times of trading for futures contracts.

B)The long will have gains when the futures price rises above the initial contract price.

C)Price fluctuations can be any amount.

Question 58 - 95362

Bidco Corporation common stock has a market value of $30.00. Which statement about put and call options available on Bidco common is most accurate?

A)A put with a strike price of $35.00 is in-the-money.

B)A call with a strike price of $25.00 is at-the-money.

C)A put with a strike price of $20.00 has intrinsic value.

Question 59 - 95489

An increase in the riskless rate of interest, other things equal, will:

A)decrease call option values and increase put option values.

B)decrease call option values and decrease put option values.

C)increase call option values and decrease put option values.

Question 60 - 95236

Biases in hedge fund performance measurement are least likely to include:

A)correlation bias.

B)incomplete historical data.

C)smoothed pricing.

Question 61 - 95191

Open-end investment companies:

A)can continue to sell and repurchase shares after their initial public offerings.

B)must register a maximum number of shares with the Securities and Exchange Commission (SEC).

C)must redeem shares at the net asset value with no fees included.

Question 62 - 95069

A real estate analysis estimates the market value of an income-producing property at $2,560,000. The annual gross potential rental income is $596,000, the annual property operating expenses and taxes are $178,800, and the annual vacancy and collection losses are $89,400. What capitalization rate was used by the analysis to assess the property at $2,560,000?

A)0.1280.

Question 63 - 95060

A primary advantage of the in-kind redemption process of exchange traded funds (ETFs) is that it:

Question 64 - 95049

Harold Moore, CFA, wants to establish a collateralized futures position in an investable commodity index. Which of the following actions would correctly implement such a position?

Question 65 - 95126

The net asset value (NAV) of an open-end fund is determined by the:

Question 66 - 95152

Which of the following is NOT among the three most important factors in valuing a venture capital investment?

Question 67 - 95220

B)0.1275.

C)0.1290.

A)reduces tax liability.

B)provides greater liquidity for shares of the ETF.

C)reduces transaction costs for the investor.

Sell index futures contracts with $30 million in underlying value and buy Treasury securities with an

expected future value of $30 million.

B)Buy index futures contracts with $30 million in underlying value and buy Treasury securities with a market value of $30 million.

C)Sell index futures contracts with an expected future value of $30 million and buy Treasury securities with an expected future value of $30 million.A)book value of all assets divided by the number of shares outstanding.

B)supply and demand for the shares in the investment management company.

C)market value of assets minus liabilities divided by the number of shares outstanding.

A)Timing of exit.

B)Expected payoff at exit.

C)Liquidity.

Survivorship bias is acute with hedge fund databases because hedge:

Question 68 - 95141

A manufacturing company would seek mezzanine financing in which of the following scenarios?

Question 69 - 95071

An investor made the following purchase:

Bought an office building for $500,000 using 90% financing.

The borrowing cost was 10%.

They received $29,000 at year-end from rentals. They sold the building for $520,000 at the end of the year.

Assuming a flat tax rate on income and capital gains of 25% what was the return on equity?

Question 70 - 95299

Which of the following statements regarding fund of funds (FOF) is FALSE ?

Question 71 - 95129

An investment company that stands ready to redeem investor shares at market value is classified as:

A)funds experience higher volatility of returns than traditional investments.

B)fund managers often do not have to comply with performance presentation standards.

C)funds are more highly leveraged than other asset classes.

A)A company preparing for an initial public offering.

B)A company already producing and selling a product, seeking an initial expansion of operations.

C)A company ready for a major marketing campaign.

A)-3%.

B)+6%.

C)+10%.

A)The higher diversification of a FOF can lead to lower expected returns.

B)FOF have consistently delivered high returns to investors.

C)FOF may be able to offer access to hedge funds that are closed to new, individual investors.

A)a closed-end investment company.

B)an open-end investment company.

Question 72 - 95076

While discussing the role of commodities as a vehicle for investment, a commentator makes the following statements:

Statement 1: During economic expansions, increasing supply tends to reduce the price of commodities. Statement 2: Investing in commodities can give the investor exposure to fluctuations in production and consumption.

Are these two statements CORRECT ?

Question 73 - 95221

Samantha Gold is a young investor. She has many affluent friends who have made a lot of money by investing in hedge funds. Drawn by the significant potential returns, Gold has also decided to invest in hedge funds. A friend has suggested investing in a fund of funds, but Gold is concerned with the risks associated with such investing. Also, she is a relatively small investor compared to what she calls “the big hedge fund players.” Which of the following two statements, in combination, about fund of funds investing, when compared to investing in individual hedge funds is most accurate?

Question 74 - 95204

Approaches commonly used in the valuation of closely held companies include all of the following EXCEPT the:

C)a managed investment company. Statement 1Statement 2A)Incorrect

Correct B)Correct

Correct C)Incorrect Incorrect Benefit of Fund of Funds Drawback of Fund of Funds

A)Provide returns that, on a risk-adjusted basis, are superior to investing in individual funds.

Only open to investors with significant capital.B)May grant investors access to highly sought-after closed funds.Returns are most likely going to be spent on additional management fees.

C)Enable investors with limited capital to invest in a portfolio of hedge funds.On a risk-adjusted basis, net-of-fees performance may be lower than that of individual funds.

A)comparables approach.

B)fundamental value approach.

C)cost approach.

Question 75 - 95182

Net operating income (NOI) is calculated by subtracting which of the following from the property's gross potential rental income?

Question 76 - 95103

An investor purchases an office building for $2,500,000. He puts 10 percent down and finances the remainder at a 9 percent rate of interest. Calculate the first year’s after-tax cash flow for the investment using the following information:

Question 77 - 95243

Which of the following statements regarding hedge fund performance is FALSE ?

Question 78 - 95077 Closed-end funds and exchange traded funds (ETFs) have which of the following characteristics in common?

A)Depreciation.

B)Income taxes.

C)Property taxes.

NOI

$243,000Depreciation

$25,000Annual mortgage payment

$218,000Marginal income tax rate

28%

A)$11,160.

B)$20,660.

C)$18,000. A)Hedge funds have demonstrated a lower risk profile than traditional equity investments.

B)Hedge funds have historically underperformed the S&P 500.

C)The Sharpe ratio for hedge funds has been consistently higher than for most traditional equity investments.

A)Shares of both closed-end funds and ETFs trade in the secondary market.

B)Both closed-end funds and ETFs stand ready to redeem shares.

C)The structures of closed-end funds and ETFs prevent shares from trading at a significant premium or discount to NAV.

Question 79 - 95061

Consider the following descriptions of approaches used in valuing real estate:

Approach 1: In this approach, the present value of after-tax cash flows are calculated based on the investor’s required rate of return before the equity portion of the investment is deducted.

Approach 2: In this approach, the value of land is estimated and is added to the price that would have to be paid if a property had to be replaced.

Approach 3: In this approach, an appraisal price is estimated as the discounted net operating income based on the market required rate of return. Approach 4: This approach relies on examining recent transaction prices from a group of similar properties and depends on a reasonably liquid market.

List in order, from Approach 1 to Approach 4, the real estate valuation methods that correspond to each of the four valuation approaches listed above.

Question 80 - 100689

Which of the following will result from the term structure of futures prices for a particular commodity being in contango?

Question 81 - 95166

For the equity shares of an open-end investment company, the share value:

Question 82 - 95093

Which of the following is least likely a disadvantage of the cost approach method of estimating the market value for real estate?

A)The income method, the cost method, the sales comparison method, and the discounted after-tax cash flow model.

B)The income method, the discounted after-tax cash flow model, the sales comparison method, and the cost method.

C)The discounted after-tax cash flow model, the cost method, the income method, and the sales comparison method.

A)Negative collateral yield.

B)Positive current yield.

C)Negative roll yield.

A)is determined in the secondary market.

B)may or may not equal NAV.

C)always equals NAV.

A)market value of a property may differ significantly from its construction cost.

B)estimating the value of the land may be difficult.

2020年重庆市高考物理一诊试卷含答案

高考物理一诊试卷题号一二三四五总分得分一、单选题（本大题共5小题，共30.0分） 1.如图所示，一物块从粗糙斜面上从静止开始释放，运动到水平面上后停止，则运动过程中，物块与地球系统的机械能（） A. 不变 B. 减少 C. 增大 D. 无法判断 2.如图，飞行器绕地球做匀速圆周运动，飞行器中宇航员测得地球相对飞行器的张角为θ，已知地球表面重力加速度g和地球半径R，不考虑地球自转，飞行器中宇就员不能确定的是（） A. 飞行器运行速度大小 B. 飞行器轨道半径 C. 飞行器的周期 D. 飞行器受地球引力大小 3.如图所示，水平直杆OP右端固定于竖直墙上的O点，长为L=2m 的轻绳一端固定于直杆P点，另一端固定于墙上O点正下方的Q 点，OP长为d=1.2m，重为8N的钩码由光滑挂钩挂在轻绳上处于静止状态，则轻绳的弹力大小为（） A. 10N B. 8N C. 6N D. 5N 4.如图，有一倾斜的匀质圆盘（半径足够大），盘面与水平面的夹角为θ，绕过圆心并垂直于盘面的转轴以角速度ω匀速转动，有一物体（可视为质点）与盘面间的动摩擦因数为μ（设最大静摩擦力等手滑动摩擦力），重力加速度为g。要使物体能与圆盘始终保持相对静止，则物体与转轴间最大距离为（） A. B. C. D. 5.如图，立柱固定于光滑水平面上O点，质量为M的小球a向右运动，与静止于Q 点的质量为m的小球b发生弹性碰撞，碰后a球立即向左运动，b球与立柱碰撞能量不损失，所有碰撞时间均不计，b球恰好在P点追到a球，Q点为OP间中点，则a、b球质量之比M：m=（）

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第 1 页共 4 页 ……………………………………………装…… …… ……………………订…… …………………… 线………………… … … … … ……… … …… … ……… 此处不能书写此处不能书写此处不能书写此处不能书写此处不能书写此处不能书写此处不能书写高等数学A （1）综合测试3 一、选择填空题(18%) 1. d = _________d . 2. 2 1 1dx x +∞ ?=_____________. 3. 设 ()f x 是定义在[1,1]-上的连续奇函数, 则 12 1 (sin )x f x dx -? =________. 4. 设函数()21, 0,1 sin ,0 x x f x x x x ?+≥? =?

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15．求函数的极限22011lim sin x x x →??- ?? ?。 16．已知函数()1 tan x y x =，求y d 。 17．设函数)(x f y =由方程e 1sin()y x y ++= 所确定，求2020d d x y y x ==。 18．求曲线21arctan ,ln() x t y t =??=+?在参数 t = 1时所对应的点处的切线方程和法线方程。 19．设函数)(x f 在0=x 处可导，且,)(,)(a f f ='=000 求220e 1()lim () x x f x x →-。 20．求出函数()2()ln 1f x x =+的凹凸区间及拐点。 21．计算 22020lim arc x t x te dt tanx →? 。 22．计算 ()21dx x x +?。 23. 计算 10?。 24．计算反常积分22d ln x x x +∞ ?。 25．求摆线sin ,(02)1cos ,x t t t y t π=-?≤≤?=-? 一拱的全长。 26．求解方程200(1)21 3 x x x y x y y y =='''?+=??'==??；。 27. 设曲线2y x ax b =++与321y xy =+在点(11),处相切，求常数,a b 的值。 28．计算2sin 00(1)lim sin x t x e dt x x →--?。 29．计算41x dx x -? 。 30 ．计算3 2 0?。 31．求微分方程2(2arccos )0xy x dx x dy -+=的通解。 32．求微分方程2335y y y x '''+-=-满足(0)0,(0)4y y '==的特解。 33．求极限102lim[sin (12)]x x x x x →++。 34．求arctan x xdx ?。

重庆高中2018级一诊物理题

高中2018级一诊物理试题二、选择题（本大题共8小题，每小题6分，在每小题给出的四个选项中，第14～18题只有一项符合题目要求，第19题～21题有多项符合题目要求，全部选对的得6分，选对但不全的得3分，有选错的得 0分） 14．真空中，一直线上有M 、O 、N 、P 四个点，相邻两点间距相等，现在O 点放一点电荷Q ，如图所示，则 A ．电势φM ＝φN B ．电势φM ＝φP B ．场强大小E M ＝E P D ．电势差U ON ＝U NP 15．一平直公路旁等间距立5根电线杆，相邻两电杆距为d ，如图所示。一小车车头与第1根电线杆对齐，从静止开始做匀速直线运动运动，测得小车从第1根电线杆到第2根电线杆历时t ，以下说法正确的是 A ．小车车头到第2根电线杆时，小车速度大小为2 d B ．小车车头从第1根电线杆到第5根电线杆历时为5t C ．小车车头到第5根电线杆时，小车速度大小为t d 4 D ．小车车头到第5根电线杆时，小车速度大小为 t d 52 16．如图所示电路中，闭合开关S 后，白炽灯L 1、L 2不亮，用电压表检测电压得：U bc ＝0，U cd ＝6V ，若电路中只有一处断路，则发生断路的是 A ．L 1灯 B ．L 2灯 C ．R D ．电源 17．a 、b 两颗卫星在同一平面内绕地球做匀速圆周运动，两卫星绕行方向相同，某时刻两卫星相距最近，如图所示。已知轨道半径R a ＝4R b ，卫星 b 的周期为T ，则两卫星再次相距最近所经历的最短时间为 A ．74T B ．78T C ．34T D ．3 8T 18．如图所示，光滑圆形轨道固定在竖直平面内，一可视为质点的小球在轨道内运动，小球始终不脱离轨道，重力加速度为g 。则小球通过最低点时的加速度大小不可能．．．为 A ．3g B ．2 g C ．2g D ．3g 19．水平面上有楔形物体甲，物体乙置于物体甲的粗糙斜面上，物体乙受平行于斜面向上的拉力F ，甲、乙仍处于静止状态。下列说法一定正确的是 A ．乙对甲压力减小 B ．甲对地压力减小 C ．乙对甲摩擦力增大 D ．甲对地摩擦力增大

高等数学试题1--11

高试1 一、单项选择题 (本大题有4小题, 每小题4分, 共16分) 1. )( 0),sin (cos )(　处有则在设=+=x x x x x f . （A ）(0)2f '= （B ）(0)1f '=（C ）(0)0f '= （D ）()f x 不可导. 2. 　）时（　，则当，设133)(11)(3→-=+-= x x x x x x βα. （A ）()()x x αβ与是同阶无穷小，但不是等价无穷小；（B ）()()x x αβ与是等价无穷小；（C ）()x α是比()x β高阶的无穷小；（D ）()x β是比()x α高阶的无穷小. 3. 若 ()()()0 2x F x t x f t dt =-?，其中()f x 在区间上(1,1)-二阶可导且'>()0f x ，则（）. （A ）函数()F x 必在0x =处取得极大值；（B ）函数()F x 必在0x =处取得极小值；（C ）函数()F x 在0x =处没有极值，但点(0,(0))F 为曲线()y F x =的拐点；（D ）函数()F x 在0x =处没有极值，点(0,(0))F 也不是曲线()y F x =的拐点。 4. ) ( )( , )(2)( )(1 0=+=?x f dt t f x x f x f 则是连续函数，且设（A ）22x （B ）2 2 2x +（C ）1x - （D ）2x +. 二、填空题（本大题有4小题，每小题4分，共16分） 5. = +→x x x sin 2 ) 31(lim . 6. ,)(cos 的一个原函数是已知 x f x x =??x x x x f d cos )(则 . 7. lim (cos cos cos )→∞ -+++=2 2 221 n n n n n n π π ππ . 8. = -+? 2 1 2 1 2 211 arcsin － dx x x x .